CINXE.COM
Document Search Results - zbMATH Open
<!doctype html> <html lang="en"> <head> <meta charset="utf-8"> <title>Document Search Results - zbMATH Open</title> <meta name="viewport" content="width=device-width, minimum-scale=0.1, maximum-scale=5.0"> <meta name="robots" content="noarchive, noindex"> <meta name="referrer" content="origin-when-cross-origin"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap-theme.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.css" rel="stylesheet" media="screen,print"> <link rel="stylesheet" href="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/css/bootstrap-select.min.css"> <link href="/static/css/smoothness/jquery-ui-1.10.1.custom.min.css" rel="stylesheet" media="screen"> <link href="/static/styles.css?v=20241024" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/zbMathJax/v0.1.38/zbmathjax.css" rel="stylesheet" media="screen,print"> <link rel="shortcut icon" href="/static/zbmath.ico"> <script type="application/ld+json"> { "@context": "http://schema.org", "@type": "Organization", "url": "https://zbmath.org/", "logo": "https://zbmath.org/static/zbMATH.png" } </script> </head> <body> <div id="line"></div> <span id="clear" style="cursor: pointer;">×</span> <div id="page"> <div id="head"> <nav id="menu" class="navbar navbar-default"> <div class="container-fluid"> <div class="navbar-header"> <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#zbnav" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar"></span> <span class="icon-bar"></span> <span class="icon-bar"></span> </button> <a class="navbar-brand" href="#"> <img class="logo" src="/static/zbmath.gif" alt="zbMATH Open logo"> </a> </div> <div id="zbnav" class="collapse navbar-collapse"> <ul class="nav navbar-nav pages"> <li class="about"> <a href="/about/">About</a> </li> <li class="frequently-asked-questions"> <a href="/frequently-asked-questions/">FAQ</a> </li> <li class="general-help"> <a href="/general-help/">General Help</a> </li> <li class="reviewer-service"> <a href="https://zbmath.org/reviewer-service/" target="_self" >Reviewer Service</a> </li> <li> <a href="/tools-and-resources/">Tools & Resources</a> </li> <li class="contact"> <a href="/contact/">Contact</a> </li> </ul> <ul class="nav navbar-nav navbar-right prefs"> <li class="preferences dropdown"> <a data-toggle="dropdown" href="#">Preferences <i class="caret"></i></a> <ul class="dropdown-menu preferences"> <li> <form id="preferences" class="navbar-form" method="post" action="/preferences/" onsubmit="return confirm('This website uses cookies for the purposes of storing preference information on your device. Do you agree to this?\n\nPlease refer to our Privacy Policy to learn more about our use of cookies.')" > <input type="hidden" name="path" value="/?q=se%3A1033+ai%3Ali.zi-cai"> <span class=""> <label class="title">Search Form</label> <div class="form-group"> <input id="search-multi-line" type="radio" name="search" value="multi-line" checked> <label for="search-multi-line" class="radio">Multi-Line Search (default)</label> </div> <div class="form-group"> <input id="search-one-line" type="radio" name="search" value="one-line"> <label for="search-one-line" class="radio">One-Line Search</label> </div> </span> <span class="count"> <label class="title">Hits per Page</label> <div class="form-group"> <input id="count-10" type="radio" name="count" value="10"> <label for="count-10" class="radio">10</label> </div> <div class="form-group"> <input id="count-20" type="radio" name="count" value="20"> <label for="count-20" class="radio">20</label> </div> <div class="form-group"> <input id="count-50" type="radio" name="count" value="50"> <label for="count-50" class="radio">50</label> </div> <div class="form-group"> <input id="count-100" type="radio" name="count" value="100" checked> <label for="count-100" class="radio">100 (default)</label> </div> <div class="form-group"> <input id="count-200" type="radio" name="count" value="200"> <label for="count-200" class="radio">200</label> </div> </span> <span class="format"> <label class="title">Display Format</label> <div class="form-group"> <input id="format-mathjax" type="radio" name="format" value="mathjax" checked> <label for="format-mathjax" class="radio">MathJax (default)</label> </div> <div class="form-group"> <input id="format-amstex" type="radio" name="format" value="latex"> <label for="format-amstex" class="radio">LaTeX</label> </div> </span> <span class="ranking"> <label class="title">Documents Sorting</label> <div class="form-group"> <input id="documents-ranking-default" type="radio" name="documents_ranking" value="date" checked> <label for="documents-ranking-default" class="radio">Newest first (default)</label> </div> <div class="form-group"> <input id="documents-ranking-references" type="radio" name="documents_ranking" value="references"> <label for="documents-ranking-references" class="radio">Citations</label> </div> <div class="form-group"> <input id="documents-ranking-relevance" type="radio" name="documents_ranking" value="relevance"> <label for="documents-ranking-relevance" class="radio">Relevance</label> </div> </span> <span class="ranking"> <label class="title">Authors Sorting</label> <div class="form-group"> <input id="authors-ranking-default" type="radio" name="authors_ranking" value="alpha" checked> <label for="authors-ranking-default" class="radio">Alphabetically (default)</label> </div> <div class="form-group"> <input id="authors-ranking-references" type="radio" name="authors_ranking" value="references"> <label for="authors-ranking-references" class="radio">Citations</label> </div> </span> <span class="ranking"> <label class="title">Serials Sorting</label> <div class="form-group"> <input id="serials-ranking-default" type="radio" name="serials_ranking" value="alpha" checked> <label for="serials-ranking-default" class="radio">Alphabetically (default)</label> </div> <div class="form-group"> <input id="serials-ranking-references" type="radio" name="serials_ranking" value="references"> <label for="serials-ranking-references" class="radio">Citations</label> </div> </span> <span class="ranking"> <label class="title">Software Sorting</label> <div class="form-group"> <input id="software-ranking-default" type="radio" name="software_ranking" value="references" checked> <label for="software-ranking-default" class="radio">Citations (default)</label> </div> <div class="form-group"> <input id="software-ranking-alpha" type="radio" name="software_ranking" value="alpha"> <label for="software-ranking-alpha" class="radio">Alphabetically</label> </div> </span> <button type="submit" class="btn btn-default">OK</button> <div class="clearfix"> </form> </li> </ul> </li> </ul> </div> </div> </nav> <div id="tabs"> <h1 class="logo"> <a class="logo" href="/"> <img class="logo" src="/static/zbmath.gif" alt="zbMATH Open — the first resource for mathematics" > </a> </h1> <nav> <ul class="nav nav-tabs"> <li class="tab-documents active"> <a href="/">Documents</a> </li> <li class="tab-authors"> <a href="/authors/">Authors</a> </li> <li class="tab-serials"> <a href="/serials/">Serials</a> </li> <li class="tab-software"> <a href="/software/">Software</a> </li> <li class="tab-classification"> <a href="/classification/">Classification</a> </li> <li class="tab-formulae"> <a href="/formulae/">Formulæ</a> </li> </ul> </nav> <div class="clearfix"></div> </div> <div class="content-fixed"> <div class="content-formular"> <div style="display: none;"> <div class="row ml-0"id="multi-line-new-line" style="display: none;"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-0-f" aria-label="field"> <option data-type="input" value="any" selected>Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-0-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input"> <span class="multi-line-value" id="multi-line-type-range"><span style="padding-left: 5px;">from</span> <input name="ml-0-v1" class="form-control multi-line-input" type="text" value="" aria-label="value"> until <input name="ml-0-v2" class="form-control multi-line-input" type="text" value="" aria-label="value"></span> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-la" placeholder="use name or ISO code"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-rv" placeholder="enter name or zbMATH reviewer number"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-an" placeholder="Zbl, JFM or ERAM number"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-en" placeholder="e.g. DOI, ISBN, arXiv ID"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="One-Line Search allows for free logical combinations of search fields" aria-label="One-Line Search allows for free logical combinations of search fields" data-placement="bottom"></span> <a style="display: inline-block;" href="#">One-Line Search <span class="glyphicon glyphicon-search"></span></a> </li> </ul> </div> <div class="clearfix"></div> <div class="container-fluid"> <input type="hidden" id="multi-line-ml" name="ml" value="3"> <div id="multi-line-row-wrapper"> <div class="row ml-1"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-1-f" aria-label="field"> <option data-type="input" value="any" selected>Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-1-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-1-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-2"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-2-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au" selected>Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-real"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label for="dt-j" title="search for Articles in Journals"> <input type="checkbox" id="dt-j" name="dt" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label for="dt-a" title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" id="dt-a" name="dt" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label for="dt-b" title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" id="dt-b" name="dt" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label for="dt-p" title="search for arXiv Preprints"> <input type="checkbox" id="dt-p" name="dt" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> </div> </div> <div class="row"> <div class="col-xs-12 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="documents" method="GET" action="/"> <div class="documents one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="se:1033 ai:li.zi-cai" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span> </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span> </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span> </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span> </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span> </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span> </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span> </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span> </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span> </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span> </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span> </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span> </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span> </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span> </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span> </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span> </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span> </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. Queries are <strong>case-independent</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Funct%2A">Funct*</a></span> <span class="search-explanation" role="cell"><strong>Wildcard</strong> queries are specified by <strong><u>*</u></strong> (e.g. <em>functions</em>, <em>functorial</em>, etc.). Otherwise the search is <strong>exact</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Topological+group%22">"Topological group"</a></span> <span class="search-explanation" role="cell"><strong>Phrases</strong> (multi-words) should be set in <u>"</u>straight quotation marks<u>"</u>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Bourbaki+%26+ti%3A+Algebra">au: Bourbaki & ti: Algebra</a></span> <span class="search-explanation" role="cell">Search for <strong><u>au</u>thor</strong> and <strong><u>ti</u>tle</strong>. The <strong>and-operator &</strong> is default and can be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Chebyshev+%7C+Tschebyscheff">Chebyshev | Tschebyscheff</a></span> <span class="search-explanation" role="cell">The <strong>or-operator |</strong> allows to search for <em>Chebyshev</em> or <em>Tschebyscheff</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Quasi%2A+map%2A+py%3A+1989">Quasi* map* py: 1989</a></span> <span class="search-explanation" role="cell">The resulting documents have <strong><u>p</u>ublication <u>y</u>ear</strong> <em>1989</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=so%3A+Eur%2A+J%2A+Mat%2A+Soc%2A+cc%3A+14">so: Eur* J* Mat* Soc* cc: 14</a></span> <span class="search-explanation" role="cell">Search for publications in a particular <strong><u>so</u>urce</strong> with a <strong>Mathematics Subject <u>C</u>lassification <u>c</u>ode (<u>cc</u>)</strong> in <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Partial+diff%2A+eq%2A%22+%21+elliptic">"Partial diff* eq*" ! elliptic</a></span> <span class="search-explanation" role="cell">The <strong>not</strong>-operator <strong>!</strong> eliminates all results containing the word <em>elliptic</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=dt%3A+b+%26+au%3A+Hilbert">dt: b & au: Hilbert</a></span> <span class="search-explanation" role="cell">The <strong><u>d</u>ocument <u>t</u>ype</strong> is set to books; alternatively: <u>j</u> for <strong>journal articles</strong>, <u>a</u> for <strong>book articles</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=py%3A+2000-2015+cc%3A+%2894A+%7C+11T%29">py: 2000-2015 cc: (94A | 11T)</a></span> <span class="search-explanation" role="cell">Number <strong>ranges</strong> are accepted. Terms can be grouped within <strong><u>(</u>parentheses<u>)</u></strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=la%3A+chinese">la: chinese</a></span> <span class="search-explanation" role="cell">Find documents in a given <strong><u>la</u>nguage</strong>. <a href="http://en.wikipedia.org/wiki/ISO_639-1">ISO 639-1</a> language codes can also be used.</span> </div> </div> <div id="help-fields"> <h2>Fields</h2> <table> <tr> <td class="nowrap padding" role="rowheader"><strong>any</strong></td> <td class="padding">anywhere</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>an</strong></td> <td class="padding">internal document identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>au</strong></td> <td class="padding">author, editor</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ai</strong></td> <td class="padding">internal author identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ti</strong></td> <td class="padding">title</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>la</strong></td> <td class="padding">language</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>so</strong></td> <td class="padding">source</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ab</strong></td> <td class="padding">review, abstract</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>py</strong></td> <td class="padding">publication year</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>rv</strong></td> <td class="padding">reviewer</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>cc</strong></td> <td class="padding">MSC code</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ut</strong></td> <td class="padding">uncontrolled term</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>dt</strong></td> <td class="padding" colspan="4">document type (<strong>j</strong>: journal article; <strong>b</strong>: book; <strong>a</strong>: book article)</td> </tr> </table> </div> <div id="help-operators"> <h2>Operators</h2> <table> <tr> <td class="nowrap padding" role="rowheader">a <strong>&</strong> b</td> <td class="padding">logic and</td> </tr> <tr> <td class="nowrap padding" role="rowheader">a <strong>|</strong> b</td> <td class="padding">logic or</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>!</strong>ab</td> <td class="padding">logic not</td> </tr> <tr> <td class="nowrap padding" role="rowheader">abc<strong>*</strong></td> <td class="padding">right wildcard</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>"</strong>ab c<strong>"</strong></td> <td class="padding">phrase</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>(</strong>ab c<strong>)</strong></td> <td class="padding">parentheses</td> </tr> </table> </div> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> <div class="clearfix"></div> </div> <div class="content-option"><div class="navigation"> <div class="function input-group"> <div class="btn-group"> <button name="mark" value="mark" class="btn btn-default btn-xs mark-btn" type="button"><strong>Mark All</strong></button> <div class="btn-group display-marked-items"> <button type="button" class="btn btn-default btn-xs dropdown-toggle" data-toggle="dropdown"> <strong>Display Marked Items</strong> <span class="caret"></span> </button> <span id="display-query" class="tex2jax_ignore" style="display: none;">se:1033 ai:li.zi-cai</span> <span id="display-formula" style="display: none;"></span> <span id="display-start" style="display: none;">0</span> <span id="display-count" style="display: none;">100</span> <span id="display-format" style="display: none;">mathjax</span> <span id="display-ranking" style="display: none;">date</span> <ul class="dropdown-menu"> <li> <a href="#" class="display-html">HTML</a> </li> <li> <a href="#" class="display-pdf-short">PDF (short)</a> </li> <li> <a href="#" class="display-pdf-long">PDF (long)</a> </li> <li> <a href="#" class="display-latexci">LaTeX Citation</a> </li> <li> <a href="#" class="display-bibtex">BibTeX</a> </li> <li> <a href="#" class="display-amsrefs">AMSRef</a> </li> </ul> </div> </div> </div> <div class="page-navigation"> <span class="title"> Page <strong>1</strong> of <strong>1</strong> </span> <div class="pages btn-group"> <a class="btn btn-default btn-xs first disabled" tabindex="-1" type="button" href="/?q=se%3A1033+ai%3Ali.zi-cai" title="">First</a> <a class="btn btn-default btn-xs previous disabled" tabindex="-1" type="button" href="/?q=se%3A1033+ai%3Ali.zi-cai" title="">Prev</a> <a class="btn btn-default btn-xs page" type="button" href="/?q=se%3A1033+ai%3Ali.zi-cai" title="">♦</a> <a class="btn btn-default btn-xs next disabled" tabindex="-1" type="button" href="/?q=se%3A1033+ai%3Ali.zi-cai" title="">Next</a> <a class="btn btn-default btn-xs last disabled" tabindex="-1" type="button" href="/?q=se%3A1033+ai%3Ali.zi-cai" title="">Last</a> </div> </div> <div class="ranking"> <input type="checkbox" name="r" id="ranking" value="xx"><span> Sorting</span> </div> <div class="clearfix"></div> </div> <div class="clearfix"></div></div> <div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="documents"> <div class="content-main" role="list" style="padding-top: 20px;"> <div class="content-title"> <div class="head"> <h2>Found 13 Documents <small>(Results 1–13)</small> </h2> </div> </div> <div class="content-clear"></div> <section class="content-result" role="list"><div class="meta row"> <div class="count col-sm-4 col-sm-offset-8"> <div class="function btn-group" style="float: right;" role="group" aria-label="sort by"> <a class="btn btn-default btn-xs active " title="sort by date">Newest</a> <a class="btn btn-default btn-xs " href="/?q=se%3A1033+ai%3Ali.zi-cai&r=references " title="sort by number of citations">Citations</a> <a class="btn btn-default btn-xs " href="/?q=se%3A1033+ai%3Ali.zi-cai&r=relevance " title="sort by relevance">Relevance</a> </div> </div> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7193924" value="7193924" aria-label="mark item Zbl 1437.35184"></div> <div class="author"><a href="/authors/zhang.liping.1" title="Author Profile">Zhang, Li-Ping</a>; <a href="/authors/li.zi-cai" title="Author Profile">Li, Zi-Cai</a>; <a href="/authors/chen.zhen.4" title="Author Profile">Chen, Zhen</a>; <a href="/authors/huang.hung-tsai" title="Author Profile">Huang, Hung-Tsai</a></div> <h3 class="title"> <a href="/1437.35184"><strong>The Laplace equation in three dimensions by the method of fundamental solutions and the method of particular solutions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1437.35184">Zbl 1437.35184</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A448679" title="Articles in this Issue">154, 47-69 (2020)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N35" title="Spectral, collocation and related methods for boundary value problems involving PDEs">65N35</a> <a class="mono" href="/classification/?q=cc%3A65N80" title="Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs">65N80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1437.35184" data-ciurl="/ci/07193924" data-biburl="/bibtex/07193924.bib" data-amsurl="/amsrefs/07193924.bib" data-xmlurl="/xml/07193924.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07193924.pdf" title="Zbl 1437.35184 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2020.03.008" aria-label="DOI for “The Laplace equation in three dimensions by the method of fundamental solutions and the method of particular solutions”" title="10.1016/j.apnum.2020.03.008">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7106368" value="7106368" aria-label="mark item Zbl 1477.65264"></div> <div class="author"><a href="/authors/zhang.liping.1" title="Author Profile">Zhang, Li-Ping</a>; <a href="/authors/li.zi-cai" title="Author Profile">Li, Zi-Cai</a>; <a href="/authors/huang.hung-tsai" title="Author Profile">Huang, Hung-Tsai</a>; <a href="/authors/wei.yimin" title="Author Profile">Wei, Yimin</a></div> <h3 class="title"> <a href="/1477.65264"><strong>The modified method of fundamental solutions for exterior problems of the Helmholtz equation; spurious eigenvalues and their removals.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1477.65264">Zbl 1477.65264</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A438474" title="Articles in this Issue">145, 236-260 (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N80" title="Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs">65N80</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N38" title="Boundary element methods for boundary value problems involving PDEs">65N38</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1477.65264" data-ciurl="/ci/07106368" data-biburl="/bibtex/07106368.bib" data-amsurl="/amsrefs/07106368.bib" data-xmlurl="/xml/07106368.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07106368.pdf" title="Zbl 1477.65264 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2019.06.008" aria-label="DOI for “The modified method of fundamental solutions for exterior problems of the Helmholtz equation; spurious eigenvalues and their removals”" title="10.1016/j.apnum.2019.06.008">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6969488" value="6969488" aria-label="mark item Zbl 1406.65130"></div> <div class="author"><a href="/authors/li.zi-cai" title="Author Profile">Li, Zi-Cai</a>; <a href="/authors/wei.yimin" title="Author Profile">Wei, Yimin</a>; <a href="/authors/chen.yunkun" title="Author Profile">Chen, Yunkun</a>; <a href="/authors/huang.hung-tsai" title="Author Profile">Huang, Hung-Tsai</a></div> <h3 class="title"> <a href="/1406.65130"><strong>The method of fundamental solutions for the Helmholtz equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1406.65130">Zbl 1406.65130</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A418802" title="Articles in this Issue">135, 510-536 (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N80" title="Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs">65N80</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1406.65130" data-ciurl="/ci/06969488" data-biburl="/bibtex/06969488.bib" data-amsurl="/amsrefs/06969488.bib" data-xmlurl="/xml/06969488.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06969488.pdf" title="Zbl 1406.65130 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2018.09.008" aria-label="DOI for “The method of fundamental solutions for the Helmholtz equation”" title="10.1016/j.apnum.2018.09.008">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6739109" value="6739109" aria-label="mark item Zbl 1368.65254"></div> <div class="author"><a href="/authors/li.zi-cai" title="Author Profile">Li, Zi-Cai</a>; <a href="/authors/lee.ming-gong" title="Author Profile">Lee, Ming-Gong</a>; <a href="/authors/huang.hung-tsai" title="Author Profile">Huang, Hung-Tsai</a>; <a href="/authors/chiang.john-y" title="Author Profile">Chiang, John Y.</a></div> <h3 class="title"> <a href="/1368.65254"><strong>Neumann problems of 2D Laplace’s equation by method of fundamental solutions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1368.65254">Zbl 1368.65254</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A367366" title="Articles in this Issue">119, 126-145 (2017)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N80" title="Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs">65N80</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1368.65254" data-ciurl="/ci/06739109" data-biburl="/bibtex/06739109.bib" data-amsurl="/amsrefs/06739109.bib" data-xmlurl="/xml/06739109.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06739109.pdf" title="Zbl 1368.65254 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2017.04.004" aria-label="DOI for “Neumann problems of 2D Laplace's equation by method of fundamental solutions”" title="10.1016/j.apnum.2017.04.004">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5611786" value="5611786" aria-label="mark item Zbl 1175.65142"></div> <div class="author"><a href="/authors/huang.jin" title="Author Profile">Huang, Jin</a>; <a href="/authors/lu.tao.1" title="Author Profile">Lü, Tao</a>; <a href="/authors/li.zi-cai" title="Author Profile">Li, Zi Cai</a></div> <h3 class="title"> <a href="/1175.65142"><strong>Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1175.65142">Zbl 1175.65142</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A253713" title="Articles in this Issue">59, No. 12, 2908-2922 (2009)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10125">Daniel Lesnic (Leeds)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N38" title="Boundary element methods for boundary value problems involving PDEs">65N38</a> <a class="mono" href="/classification/?q=cc%3A65R20" title="Numerical methods for integral equations">65R20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1175.65142" data-ciurl="/ci/05611786" data-biburl="/bibtex/05611786.bib" data-amsurl="/amsrefs/05611786.bib" data-xmlurl="/xml/05611786.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05611786.pdf" title="Zbl 1175.65142 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2009.06.006" aria-label="DOI for “Mechanical quadrature methods and their splitting extrapolations for boundary integral equations of first kind on open arcs”" title="10.1016/j.apnum.2009.06.006">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5574498" value="5574498" aria-label="mark item Zbl 1180.65150"></div> <div class="author"><a href="/authors/li.zi-cai" title="Author Profile">Li, Zi-Cai</a>; <a href="/authors/huang.hung-tsai" title="Author Profile">Huang, Hung-Tsai</a></div> <h3 class="title"> <a href="/1180.65150"><strong>Effective condition number for the finite element method using local mesh refinements.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1180.65150">Zbl 1180.65150</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A250547" title="Articles in this Issue">59, No. 8, 1779-1795 (2009)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10917">Sonia Pérez Díaz (Madrid)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65F08" title="Preconditioners for iterative methods">65F08</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N50" title="Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs">65N50</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1180.65150" data-ciurl="/ci/05574498" data-biburl="/bibtex/05574498.bib" data-amsurl="/amsrefs/05574498.bib" data-xmlurl="/xml/05574498.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05574498.pdf" title="Zbl 1180.65150 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2009.01.006" aria-label="DOI for “Effective condition number for the finite element method using local mesh refinements”" title="10.1016/j.apnum.2009.01.006">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5318783" value="5318783" aria-label="mark item Zbl 1163.65086"></div> <div class="author"><a href="/authors/li.zi-cai" title="Author Profile">Li, Zi Cai</a>; <a href="/authors/huang.hung-tsai" title="Author Profile">Huang, Hung-Tsai</a>; <a href="/authors/huang.jin" title="Author Profile">Huang, Jin</a></div> <h3 class="title"> <a href="/1163.65086"><strong>Effective condition number of the Hermite finite element methods for biharmonic equations.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1163.65086">Zbl 1163.65086</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A229770" title="Articles in this Issue">58, No. 9, 1291-1308 (2008)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A6169">Wilhelm Heinrichs (Essen)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A35J40" title="Boundary value problems for higher-order elliptic equations">35J40</a> <a class="mono" href="/classification/?q=cc%3A65F10" title="Iterative numerical methods for linear systems">65F10</a> <a class="mono" href="/classification/?q=cc%3A65F35" title="Numerical computation of matrix norms, conditioning, scaling">65F35</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1163.65086" data-ciurl="/ci/05318783" data-biburl="/bibtex/05318783.bib" data-amsurl="/amsrefs/05318783.bib" data-xmlurl="/xml/05318783.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05318783.pdf" title="Zbl 1163.65086 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2007.07.004" aria-label="DOI for “Effective condition number of the Hermite finite element methods for biharmonic equations”" title="10.1016/j.apnum.2007.07.004">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5268291" value="5268291" aria-label="mark item Zbl 1139.65072"></div> <div class="author"><a href="/authors/li.zi-cai" title="Author Profile">Li, Zi-Cai</a>; <a href="/authors/hu.hsin-yun" title="Author Profile">Hu, Hsin-Yun</a>; <a href="/authors/wang.song.2" title="Author Profile">Wang, Song</a>; <a href="/authors/fang.qing" title="Author Profile">Fang, Qing</a></div> <h3 class="title"> <a href="/1139.65072"><strong>Superconvergence of solution derivatives of the Shortley-Weller difference approximation to Poisson’s equation with singularities on polygonal domains.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1139.65072">Zbl 1139.65072</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A218460" title="Articles in this Issue">58, No. 5, 689-704 (2008)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N06" title="Finite difference methods for boundary value problems involving PDEs">65N06</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1139.65072" data-ciurl="/ci/05268291" data-biburl="/bibtex/05268291.bib" data-amsurl="/amsrefs/05268291.bib" data-xmlurl="/xml/05268291.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05268291.pdf" title="Zbl 1139.65072 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2007.02.007" aria-label="DOI for “Superconvergence of solution derivatives of the Shortley-Weller difference approximation to Poisson's equation with singularities on polygonal domains”" title="10.1016/j.apnum.2007.02.007">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5231954" value="5231954" aria-label="mark item Zbl 1141.65082"></div> <div class="author"><a href="/authors/li.zi-cai" title="Author Profile">Li, Z. C.</a></div> <h3 class="title"> <a href="/1141.65082"><strong>The Trefftz method for the Helmholtz equation with degeneracy.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1141.65082">Zbl 1141.65082</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A215727" title="Articles in this Issue">58, No. 2, 131-159 (2008)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A7899">Ariadna Lucia Pletea (Iaşi)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N38" title="Boundary element methods for boundary value problems involving PDEs">65N38</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1141.65082" data-ciurl="/ci/05231954" data-biburl="/bibtex/05231954.bib" data-amsurl="/amsrefs/05231954.bib" data-xmlurl="/xml/05231954.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05231954.pdf" title="Zbl 1141.65082 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2006.11.004" aria-label="DOI for “The Trefftz method for the Helmholtz equation with degeneracy”" title="10.1016/j.apnum.2006.11.004">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5024181" value="5024181" aria-label="mark item Zbl 1091.65111"></div> <div class="author"><a href="/authors/huang.hung-tsai" title="Author Profile">Huang, Hung-Tsai</a>; <a href="/authors/li.zi-cai" title="Author Profile">Li, Zi-Cai</a>; <a href="/authors/zhou.aihui" title="Author Profile">Zhou, Aihui</a></div> <h3 class="title"> <a href="/1091.65111"><strong>New error estimates of biquadratic Lagrange elements for Poisson’s equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1091.65111">Zbl 1091.65111</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A124572" title="Articles in this Issue">56, No. 5, 712-744 (2006)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10506">Răzvan Răducanu (Iaşi)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1091.65111" data-ciurl="/ci/05024181" data-biburl="/bibtex/05024181.bib" data-amsurl="/amsrefs/05024181.bib" data-xmlurl="/xml/05024181.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05024181.pdf" title="Zbl 1091.65111 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2005.06.003" aria-label="DOI for “New error estimates of biquadratic Lagrange elements for Poisson's equation.”" title="10.1016/j.apnum.2005.06.003">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item2085827" value="2085827" aria-label="mark item Zbl 1069.65119"></div> <div class="author"><a href="/authors/huang.hung-tsai" title="Author Profile">Huang, Hung-Tsai</a>; <a href="/authors/li.zi-cai" title="Author Profile">Li, Zi-Cai</a>; <a href="/authors/yan.ningning" title="Author Profile">Yan, Ningning</a></div> <h3 class="title"> <a href="/1069.65119"><strong>New error estimates of Adini’s elements for Poisson’s equation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1069.65119">Zbl 1069.65119</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A107674" title="Articles in this Issue">50, No. 1, 49-74 (2004)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A7899">Ariadna Lucia Pletea (Iaşi)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35J05" title="Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation">35J05</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1069.65119" data-ciurl="/ci/02085827" data-biburl="/bibtex/02085827.bib" data-amsurl="/amsrefs/02085827.bib" data-xmlurl="/xml/02085827.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/02085827.pdf" title="Zbl 1069.65119 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.apnum.2003.10.009" aria-label="DOI for “New error estimates of Adini's elements for Poisson's equation”" title="10.1016/j.apnum.2003.10.009">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1879045" value="1879045" aria-label="mark item Zbl 1022.65121"></div> <div class="author"><a href="/authors/li.zi-cai" title="Author Profile">Li, Z. C.</a>; <a href="/authors/huang.hung-tsai" title="Author Profile">Huang, H. T.</a></div> <h3 class="title"> <a href="/1022.65121"><strong>Global superconvergence of simplified hybrid combinations of the Ritz–Galerkin and FEMs for elliptic equations with singularities. II: Lagrange elements and Adini’s elements.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1022.65121">Zbl 1022.65121</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A91188" title="Articles in this Issue">43, No. 3, 253-273 (2002)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A7089">Laura-Iulia Aniţa (Iaşi)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A65N15" title="Error bounds for boundary value problems involving PDEs">65N15</a> <a class="mono" href="/classification/?q=cc%3A35J25" title="Boundary value problems for second-order elliptic equations">35J25</a> <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A35R05" title="PDEs with low regular coefficients and/or low regular data">35R05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1022.65121" data-ciurl="/ci/01879045" data-biburl="/bibtex/01879045.bib" data-amsurl="/amsrefs/01879045.bib" data-xmlurl="/xml/01879045.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01879045.pdf" title="Zbl 1022.65121 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/S0168-9274(01)00135-0" aria-label="DOI for “Global superconvergence of simplified hybrid combinations of the Ritz--Galerkin and FEMs for elliptic equations with singularities. II: Lagrange elements and Adini's elements”" title="10.1016/S0168-9274(01)00135-0">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1669959" value="1669959" aria-label="mark item Zbl 0989.65135"></div> <div class="author"><a href="/authors/li.zi-cai" title="Author Profile">Li, Zi Cai</a>; <a href="/authors/yan.ningning" title="Author Profile">Yan, Ningning</a></div> <h3 class="title"> <a href="/0989.65135"><strong>Global superconvergence for blending surfaces by boundary penalty plus hybrid FEMs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0989.65135">Zbl 0989.65135</a> </h3> <div class="source"> <a href="/serials/1033" title="Journal Profile">Appl. Numer. Math.</a> <a href="/?q=in%3A79395" title="Articles in this Issue">39, No. 1, 61-85 (2001)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A5453">Michel Bernadou (Paris La Defense)</a></div> <div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A65N30" title="Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs">65N30</a> <a class="mono" href="/classification/?q=cc%3A65N12" title="Stability and convergence of numerical methods for boundary value problems involving PDEs">65N12</a> <a class="mono" href="/classification/?q=cc%3A35J40" title="Boundary value problems for higher-order elliptic equations">35J40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0989.65135" data-ciurl="/ci/01669959" data-biburl="/bibtex/01669959.bib" data-amsurl="/amsrefs/01669959.bib" data-xmlurl="/xml/01669959.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01669959.pdf" title="Zbl 0989.65135 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/S0168-9274(01)00053-8" aria-label="DOI for “Global superconvergence for blending surfaces by boundary penalty plus hybrid FEMs”" title="10.1016/S0168-9274(01)00053-8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div></section> <section class="content-filter"><h2 class="filters-caption">Filter Results by …</h2> <div class="filter filter-ai"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Author</h3> <ul><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Ali.zi-cai">Li, Zi-Cai</a> (13) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Ahuang.hung-tsai">Huang, Hung-Tsai</a> (9) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Ahuang.jin">Huang, Jin</a> (2) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Awei.yimin">Wei, Yimin</a> (2) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Ayan.ningning">Yan, Ningning</a> (2) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Azhang.liping.1">Zhang, Liping</a> (2) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Achen.yunkun">Chen, Yunkun</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Achen.zhen.4">Chen, Zhen</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Achiang.john-y">Chiang, John Y.</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Afang.qing">Fang, Qing</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Ahu.hsin-yun">Hu, Hsin-Yun</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Alee.ming-gong">Lee, Ming-Gong</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Alu.tao.1">Lü, Tao</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Awang.song.2">Wang, Song</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+ai%3Azhou.aihui">Zhou, Aihui</a> (1) </li></ul> </div> <div class="filter filter-in"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Volume</h3> <ul><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A448679">154 (2020)</a> (1) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A438474">145 (2019)</a> (1) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A418802">135 (2019)</a> (1) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A367366">119 (2017)</a> (1) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A253713">59, No. 12 (2009)</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A250547">59, No. 8 (2009)</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A229770">58, No. 9 (2008)</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A218460">58, No. 5 (2008)</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A215727">58, No. 2 (2008)</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A124572">56, No. 5 (2006)</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A107674">50, No. 1 (2004)</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A91188">43, No. 3 (2002)</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+in%3A79395">39, No. 1 (2001)</a> (1) </li></ul> </div> <div class="filter filter-py"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Year of Publication</h3> <ul><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+py%3A2020">2020</a> (1) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+py%3A2019">2019</a> (2) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+py%3A2017">2017</a> (1) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+py%3A2009">2009</a> (2) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+py%3A2008">2008</a> (3) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+py%3A2006">2006</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+py%3A2004">2004</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+py%3A2002">2002</a> (1) </li><li class="more"> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+py%3A2001">2001</a> (1) </li> </ul> </div> <div class="filter filter-cc"><h3 class="filter-caption">Main Field</h3> <ul><li> <a class="" href="/?q=se%3A1033+ai%3Ali.zi-cai+cc%3A65" title="Numerical analysis">65-XX </a> (13) </li><li> <a class="" href="/?q=se%3A1033+ai%3Ali.zi-cai+cc%3A35" title="Partial differential equations">35-XX </a> (12) </li></ul> </div> <div class="filter filter-sw"><h3 class="filter-caption">Software</h3> <ul><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+sw%3ADLMF">DLMF</a> (2) </li><li> <a href="/?q=se%3A1033+ai%3Ali.zi-cai+sw%3Amctoolbox">mctoolbox</a> (1) </li></ul> </div> </section> <div class="content-clear"></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>