Document Zbl 07996315

<!doctype html> <html lang="en"> <head> <meta charset="utf-8"> <title>Document Zbl 07996315 - 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="/7996315?"> <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="an:7996315" 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-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="documents"> <div class="content-main"> <div class="content-item"><div class="item"> <article> <div class="author"><a href="/authors/bazirha.zaroual" title="Author Profile">Bazirha, Zaroual</a>; <a href="/authors/azrar.lahcen" title="Author Profile">Azrar, Lahcen</a>; <a href="/authors/alghamedi.ateq-ahmed" title="Author Profile">AlGhamedi, Ateq Ahmed</a></div> <h2 class="title"> <strong>Adaptive finite volume schemes for anisotropic heterogeneous diffusion problems on arbitary convex and nonconvex meshes.</strong> <i>(English)</i> <a class="label nowrap" href="/7996315">Zbl 07996315</a> </h2> <div class="source"> <a href="/serials/1994" title="Journal Profile">Comput. Appl. Math.</a> <a href="/?q=in%3A520457" title="Articles in this Issue">44, No. 1, Paper No. 141, 37 p. (2025)</a>. </div> <div class="abstract">Summary: Solving the anisotropic heterogeneous diffusion problems requires a well adopted subdivision of the computational domain with a mesh refinement procedure to numerically guarantee the convergence. A new refinement procedure for quadrilateral meshes in convex or non-convex cases is elaborated herein. Various DDFV schemes are elaborated for anisotropic, strongly anisotropic and discontinuous diffusion tensors. Structured and unstructured meshes are considered in the convex and non-convex elements as well as arbitrary meshes with various distortion orders. The presented procedure allows eliminating the convergence rate sensitivity. The main advantage of this mesh refinement strategy is to reduce the percentage of non-convex elements at each step after refinement and to achieve super-convergence on discrete $H^1$ and $L^2$-norms. The efficiency and performance of the elaborated adaptive DDFV scheme are numerically demonstrated for the considered quadrilateral meshes.</div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A65N08" title="MSC2020">65N08</a> </td> <td class="space"> Finite volume methods for boundary value problems involving PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65N22" title="MSC2020">65N22</a> </td> <td class="space"> Numerical solution of discretized equations for boundary value problems involving PDEs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65M50" title="MSC2020">65M50</a> </td> <td class="space"> Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Adiffusion+problems">diffusion problems</a>; <a href="/?q=ut%3Arefinement">refinement</a>; <a href="/?q=ut%3Anon-convex+mesh">non-convex mesh</a>; <a href="/?q=ut%3Adiscrete+duality+finite+volume+%28DDFV%29">discrete duality finite volume (DDFV)</a></div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07996315" data-ciurl="/ci/07996315" data-biburl="/bibtex/07996315.bib" data-amsurl="/amsrefs/07996315.bib" data-xmlurl="/xml/07996315.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07996315.pdf" title="Zbl 07996315 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/10.1007/s40314-025-03087-0" aria-label="DOI for “Adaptive finite volume schemes for anisotropic heterogeneous diffusion problems on arbitary convex and nonconvex meshes”" title="10.1007/s40314-025-03087-0">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Aavatsmark, I.; Barkve, T.; Bøe, O., Discretization on unstructured grids for inhomogeneous, anisotropic media: part i—Derivation of the methods, SIAM J Sci Comput, 19, 5, 1700-1716, 1998; Aavatsmark, I.; Barkve, T.; Bøe, O., Discretization on unstructured grids for inhomogeneous, anisotropic media: part i—Derivation of the methods, SIAM J Sci Comput, 19, 5, 1700-1716, 1998 · <a href="/0951.65080" class="nowrap">Zbl 0951.65080</a> · <a href="https://doi.org/10.1137/S1064827595293582" class="nowrap">doi:10.1137/S1064827595293582</a></td> </tr><tr> <td>[2]</td> <td class="space">Andreianov, B.; Houssaine Quenjel, E., Nodal discrete duality numerical scheme for nonlinear diffusion problems on general meshes, IMA J Numer Anal, 44, 3, 1597-643, 2023; Andreianov, B.; Houssaine Quenjel, E., Nodal discrete duality numerical scheme for nonlinear diffusion problems on general meshes, IMA J Numer Anal, 44, 3, 1597-643, 2023 · <a href="/07937551" class="nowrap">Zbl 07937551</a> · <a href="https://doi.org/10.1093/imanum/drad041" class="nowrap">doi:10.1093/imanum/drad041</a></td> </tr><tr> <td>[3]</td> <td class="space">Babuška, I.; Suri, M., On locking and robustness in the finite element method, SIAM J Numer Anal, 29, 5, 1261-1293, 1992; Babuška, I.; Suri, M., On locking and robustness in the finite element method, SIAM J Numer Anal, 29, 5, 1261-1293, 1992 · <a href="/0763.65085" class="nowrap">Zbl 0763.65085</a> · <a href="https://doi.org/10.1137/0729075" class="nowrap">doi:10.1137/0729075</a></td> </tr><tr> <td>[4]</td> <td class="space">Bank, RE; Sherman, AH; Weiser, A., Some refinement algorithms and data structures for regular local mesh refinement, Sci Comput, Appl Math Comput Phys Sci, 1, 3-17, 1983; Bank, RE; Sherman, AH; Weiser, A., Some refinement algorithms and data structures for regular local mesh refinement, Sci Comput, Appl Math Comput Phys Sci, 1, 3-17, 1983</td> </tr><tr> <td>[5]</td> <td class="space">Baron, V.; Coudière, Y.; Sochala, P., Comparison of ddfv and dg methods for flow in anisotropic heterogeneous porous media, Oil & Gas Sci Technol-Rev d’IFP Energ Nouv, 69, 4, 673-686, 2014; Baron, V.; Coudière, Y.; Sochala, P., Comparison of ddfv and dg methods for flow in anisotropic heterogeneous porous media, Oil & Gas Sci Technol-Rev d’IFP Energ Nouv, 69, 4, 673-686, 2014 · <a href="https://doi.org/10.2516/ogst/2013157" class="nowrap">doi:10.2516/ogst/2013157</a></td> </tr><tr> <td>[6]</td> <td class="space">Blanc, X.; Hermeline, F.; Null, EL, Monotonic diamond and ddfv type finite-volume schemes for 2d elliptic problems, Commun Comput Phys, 34, 2, 456-502, 2023; Blanc, X.; Hermeline, F.; Null, EL, Monotonic diamond and ddfv type finite-volume schemes for 2d elliptic problems, Commun Comput Phys, 34, 2, 456-502, 2023 · <a href="/1519.65047" class="nowrap">Zbl 1519.65047</a> · <a href="https://doi.org/10.4208/cicp.OA-2023-0081" class="nowrap">doi:10.4208/cicp.OA-2023-0081</a></td> </tr><tr> <td>[7]</td> <td class="space">Boyer, F.; Hubert, F., Finite volume method for 2d linear and nonlinear elliptic problems with discontinuities, SIAM J Numer Anal, 46, 6, 3032-3070, 2008; Boyer, F.; Hubert, F., Finite volume method for 2d linear and nonlinear elliptic problems with discontinuities, SIAM J Numer Anal, 46, 6, 3032-3070, 2008 · <a href="/1180.35533" class="nowrap">Zbl 1180.35533</a> · <a href="https://doi.org/10.1137/060666196" class="nowrap">doi:10.1137/060666196</a></td> </tr><tr> <td>[8]</td> <td class="space">Coudiere, Y.; Pierre, C.; Rousseau, O., A 2d/3d discrete duality finite volume scheme. application to ECG simulation, Int J Finite Vol, 6, 1, 1-24, 2009; Coudiere, Y.; Pierre, C.; Rousseau, O., A 2d/3d discrete duality finite volume scheme. application to ECG simulation, Int J Finite Vol, 6, 1, 1-24, 2009 · <a href="/1490.65238" class="nowrap">Zbl 1490.65238</a></td> </tr><tr> <td>[9]</td> <td class="space">Da Veiga, LB; Lovadina, C.; Vacca, G., Virtual elements for the Navier-stokes problem on polygonal meshes, SIAM J Numer Anal, 56, 3, 1210-1242, 2018; Da Veiga, LB; Lovadina, C.; Vacca, G., Virtual elements for the Navier-stokes problem on polygonal meshes, SIAM J Numer Anal, 56, 3, 1210-1242, 2018 · <a href="/1397.65302" class="nowrap">Zbl 1397.65302</a> · <a href="https://doi.org/10.1137/17M1132811" class="nowrap">doi:10.1137/17M1132811</a></td> </tr><tr> <td>[10]</td> <td class="space">Domelevo, K.; Omnes, P., A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids, ESAIM: Math Model Numer Anal, 39, 6, 1203-1249, 2005; Domelevo, K.; Omnes, P., A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids, ESAIM: Math Model Numer Anal, 39, 6, 1203-1249, 2005 · <a href="/1086.65108" class="nowrap">Zbl 1086.65108</a> · <a href="https://doi.org/10.1051/m2an:2005047" class="nowrap">doi:10.1051/m2an:2005047</a></td> </tr><tr> <td>[11]</td> <td class="space">Droniou, J., Finite volume schemes for diffusion equations: introduction to and review of modern methods, Math Models Methods Appl Sci, 24, 8, 1575-1619, 2014; Droniou, J., Finite volume schemes for diffusion equations: introduction to and review of modern methods, Math Models Methods Appl Sci, 24, 8, 1575-1619, 2014 · <a href="/1291.65319" class="nowrap">Zbl 1291.65319</a> · <a href="https://doi.org/10.1142/S0218202514400041" class="nowrap">doi:10.1142/S0218202514400041</a></td> </tr><tr> <td>[12]</td> <td class="space">Eymard, R.; Gallouët, T.; Herbin, R., A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension, IMA J Numer Anal, 26, 2, 326-353, 2006; Eymard, R.; Gallouët, T.; Herbin, R., A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension, IMA J Numer Anal, 26, 2, 326-353, 2006 · <a href="/1093.65110" class="nowrap">Zbl 1093.65110</a> · <a href="https://doi.org/10.1093/imanum/dri036" class="nowrap">doi:10.1093/imanum/dri036</a></td> </tr><tr> <td>[13]</td> <td class="space">Eymard R, Gallouët T, Herbin R (2008) Discretization schemes for linear diffusion operators on general non-conforming meshes. Finite volumes for complex applications V, pp 375-382 · <a href="/1422.65309" class="nowrap">Zbl 1422.65309</a></td> </tr><tr> <td>[14]</td> <td class="space">Faille, I., A control volume method to solve an elliptic equation on a two-dimensional irregular mesh, Comput Methods Appl Mech Eng, 100, 2, 275-290, 1992; Faille, I., A control volume method to solve an elliptic equation on a two-dimensional irregular mesh, Comput Methods Appl Mech Eng, 100, 2, 275-290, 1992 · <a href="/0761.76068" class="nowrap">Zbl 0761.76068</a> · <a href="https://doi.org/10.1016/0045-7825(92)90186-N" class="nowrap">doi:10.1016/0045-7825(92)90186-N</a></td> </tr><tr> <td>[15]</td> <td class="space">Gallouët, T.; Herbin, R.; Vignal, MH, Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions, SIAM J Numer Anal, 37, 6, 1935-1972, 2000; Gallouët, T.; Herbin, R.; Vignal, MH, Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions, SIAM J Numer Anal, 37, 6, 1935-1972, 2000 · <a href="/0986.65099" class="nowrap">Zbl 0986.65099</a> · <a href="https://doi.org/10.1137/S0036142999351388" class="nowrap">doi:10.1137/S0036142999351388</a></td> </tr><tr> <td>[16]</td> <td class="space">Hermeline, F., A finite volume method for the approximation of diffusion operators on distorted meshes, J Comput Phys, 160, 2, 481-499, 2000; Hermeline, F., A finite volume method for the approximation of diffusion operators on distorted meshes, J Comput Phys, 160, 2, 481-499, 2000 · <a href="/0949.65101" class="nowrap">Zbl 0949.65101</a> · <a href="https://doi.org/10.1006/jcph.2000.6466" class="nowrap">doi:10.1006/jcph.2000.6466</a></td> </tr><tr> <td>[17]</td> <td class="space">Hermeline, F., Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes, Comput Methods Appl Mech Eng, 192, 16-18, 1939-1959, 2003; Hermeline, F., Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes, Comput Methods Appl Mech Eng, 192, 16-18, 1939-1959, 2003 · <a href="/1037.65118" class="nowrap">Zbl 1037.65118</a> · <a href="https://doi.org/10.1016/S0045-7825(02)00644-8" class="nowrap">doi:10.1016/S0045-7825(02)00644-8</a></td> </tr><tr> <td>[18]</td> <td class="space">Hermeline, F.; Layouni, S.; Omnes, P., A finite volume method for the approximation of maxwell’s equations in two space dimensions on arbitrary meshes, J Comput Phys, 227, 22, 9365-9388, 2008; Hermeline, F.; Layouni, S.; Omnes, P., A finite volume method for the approximation of maxwell’s equations in two space dimensions on arbitrary meshes, J Comput Phys, 227, 22, 9365-9388, 2008 · <a href="/1207.78035" class="nowrap">Zbl 1207.78035</a> · <a href="https://doi.org/10.1016/j.jcp.2008.05.013" class="nowrap">doi:10.1016/j.jcp.2008.05.013</a></td> </tr><tr> <td>[19]</td> <td class="space">Krell S (2010) Schémas volumes finis en mécanique des fluides complexes. PhD thesis, Université de Provence-Aix-Marseille I</td> </tr><tr> <td>[20]</td> <td class="space">Le Potier, C., Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés, Comptes Rendus Math, 341, 12, 787-792, 2005; Le Potier, C., Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés, Comptes Rendus Math, 341, 12, 787-792, 2005 · <a href="/1081.65086" class="nowrap">Zbl 1081.65086</a> · <a href="https://doi.org/10.1016/j.crma.2005.10.010" class="nowrap">doi:10.1016/j.crma.2005.10.010</a></td> </tr><tr> <td>[21]</td> <td class="space">Li, CJ; Jia, YM, A superconvergent nonconforming quadrilateral spline element for biharmonic equation using the b-net method, Comput Appl Math, 39, 2, 70, 2020; Li, CJ; Jia, YM, A superconvergent nonconforming quadrilateral spline element for biharmonic equation using the b-net method, Comput Appl Math, 39, 2, 70, 2020 · <a href="/1449.65318" class="nowrap">Zbl 1449.65318</a> · <a href="https://doi.org/10.1007/s40314-020-1105-0" class="nowrap">doi:10.1007/s40314-020-1105-0</a></td> </tr><tr> <td>[22]</td> <td class="space">Lipnikov, K.; Shashkov, M.; Svyatskiy, D., Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes, J Comput Phys, 227, 1, 492-512, 2007; Lipnikov, K.; Shashkov, M.; Svyatskiy, D., Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes, J Comput Phys, 227, 1, 492-512, 2007 · <a href="/1130.65113" class="nowrap">Zbl 1130.65113</a> · <a href="https://doi.org/10.1016/j.jcp.2007.08.008" class="nowrap">doi:10.1016/j.jcp.2007.08.008</a></td> </tr><tr> <td>[23]</td> <td class="space">Park, K.; Chi, H.; Paulino, GH, On nonconvex meshes for elastodynamics using virtual element methods with explicit time integration, Comput Methods Appl Mech Eng, 356, 669-684, 2019; Park, K.; Chi, H.; Paulino, GH, On nonconvex meshes for elastodynamics using virtual element methods with explicit time integration, Comput Methods Appl Mech Eng, 356, 669-684, 2019 · <a href="/1441.74269" class="nowrap">Zbl 1441.74269</a> · <a href="https://doi.org/10.1016/j.cma.2019.06.031" class="nowrap">doi:10.1016/j.cma.2019.06.031</a></td> </tr><tr> <td>[24]</td> <td class="space">Quenjel, EH; Saad, M.; Ghilani, M., Convergence of a positive nonlinear ddfv scheme for degenerate parabolic equations, Calcolo, 57, 2, 19, 2020; Quenjel, EH; Saad, M.; Ghilani, M., Convergence of a positive nonlinear ddfv scheme for degenerate parabolic equations, Calcolo, 57, 2, 19, 2020 · <a href="/1442.65203" class="nowrap">Zbl 1442.65203</a> · <a href="https://doi.org/10.1007/s10092-020-00367-5" class="nowrap">doi:10.1007/s10092-020-00367-5</a></td> </tr><tr> <td>[25]</td> <td class="space">Sheng, Z.; Yuan, G., Construction of nonlinear weighted method for finite volume schemes preserving maximum principle, SIAM J Sci Comput, 40, 1, A607-A628, 2018; Sheng, Z.; Yuan, G., Construction of nonlinear weighted method for finite volume schemes preserving maximum principle, SIAM J Sci Comput, 40, 1, A607-A628, 2018 · <a href="/1453.65391" class="nowrap">Zbl 1453.65391</a> · <a href="https://doi.org/10.1137/16M1098000" class="nowrap">doi:10.1137/16M1098000</a></td> </tr><tr> <td>[26]</td> <td class="space">Su, S.; Wu, J., A symmetric and coercive finite volume scheme preserving the discrete maximum principle for anisotropic diffusion equations on star-shaped polygonal meshes, Appl Numer Math, 198, 217-235, 2024; Su, S.; Wu, J., A symmetric and coercive finite volume scheme preserving the discrete maximum principle for anisotropic diffusion equations on star-shaped polygonal meshes, Appl Numer Math, 198, 217-235, 2024 · <a href="/1542.65097" class="nowrap">Zbl 1542.65097</a> · <a href="https://doi.org/10.1016/j.apnum.2024.01.008" class="nowrap">doi:10.1016/j.apnum.2024.01.008</a></td> </tr><tr> <td>[27]</td> <td class="space">Wu, J.; Gao, Z., Interpolation-based second-order monotone finite volume schemes for anisotropic diffusion equations on general grids, J Comput Phys, 275, 569-588, 2014; Wu, J.; Gao, Z., Interpolation-based second-order monotone finite volume schemes for anisotropic diffusion equations on general grids, J Comput Phys, 275, 569-588, 2014 · <a href="/1349.65586" class="nowrap">Zbl 1349.65586</a> · <a href="https://doi.org/10.1016/j.jcp.2014.07.011" class="nowrap">doi:10.1016/j.jcp.2014.07.011</a></td> </tr><tr> <td>[28]</td> <td class="space">Wu, D.; Lv, J.; Lin, L., A maximum-principle-preserving finite volume scheme for diffusion problems on distorted meshes, Adv Appl Math Mech, 15, 4, 1076-1108, 2023; Wu, D.; Lv, J.; Lin, L., A maximum-principle-preserving finite volume scheme for diffusion problems on distorted meshes, Adv Appl Math Mech, 15, 4, 1076-1108, 2023 · <a href="/1524.65732" class="nowrap">Zbl 1524.65732</a> · <a href="https://doi.org/10.4208/aamm.OA-2022-0224" class="nowrap">doi:10.4208/aamm.OA-2022-0224</a></td> </tr><tr> <td>[29]</td> <td class="space">Yang, H.; Yu, B.; Li, Y., Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems, J Comput Phys, 449, 110, 759, 2022; Yang, H.; Yu, B.; Li, Y., Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems, J Comput Phys, 449, 110, 759, 2022 · <a href="/07524764" class="nowrap">Zbl 07524764</a></td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching. </div> </div></article> </div></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>

CINXE.COM

Document Zbl 07996315 - zbMATH Open