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<!DOCTYPE HTML> <html> <head> <meta http-equiv="content-type" content="text/html; charset=utf-8"> <title>CEMAT - Publication</title> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/4.0.0-beta.2/css/bootstrap.min.css" integrity="sha384-PsH8R72JQ3SOdhVi3uxftmaW6Vc51MKb0q5P2rRUpPvrszuE4W1povHYgTpBfshb" crossorigin="anonymous"> <link rel="stylesheet" type="text/css" href="css/cemat.css" media="screen"> </head> <body> <div id="header"> <a href="main.php"><img border="0" id="logo" name="logo" alt="CEMAT - Centro de Matem锟絫ica e Aplica锟斤拷es" src="imgs/logocemat.png" width="150" height="82"></a> <div id="header-links" class="d-none d-sm-block"> <a href="https://tecnico.ulisboa.pt" target="_blank"><img border="0" src="imgs/logoist.png" width="87" height="37"></a> <a href="https://ciencias.ulisboa.pt" target="_blank"><img border="0" src="imgs/Ciencias_Logo_Azul-01.png" width="86" height="35"></a> <a href="https://www.fct.pt" target="_blank"><img border="0" src="imgs/logo_fct20anos.png" style="margin-top:-3px;" width="185" height="49"></a> </div> <div id="lang-select"> <a href="?member_id=216&doc_id=3676&locale=pt">pt</a> | <a href="?member_id=216&doc_id=3676&locale=en">en</a> </div> </div> <nav class="navbar navbar-expand-lg navbar-dark bg-dark"><button aria-expanded="false" aria-label="Toggle navigation" aria-controls="navbarSupportedContent" class="navbar-toggler" data-toggle="collapse" data-target="#navbarSupportedContent"><span class="navbar-toggler-icon"> </span></button> <div id="navbarSupportedContent" class="collapse navbar-collapse"> <ul class="navbar-nav w-100 d-flex justify-content-around"> <!-- Home --> <li class="nav-item"><a data-menu="main" href="main.php#main" class="nav-link"><span>Home</span></a></li> <!-- Dropdown1 Areas --> <li class="nav-item dropdown"><a data-menu="area.p" href="#" aria-haspopup="true" aria-expanded="false" role="button" id="navbarDropdown1" class="nav-link dropdown-toggle" data-toggle="dropdown"><span>Research Areas</span></a> <div class="dropdown-menu rounded-0 py-0" aria-labelledby="navbarDropdown1"> <a href="area.php?section=algebra&member_id=16&project_id=7#area.p" class="dropdown-item">Algebra and Computing</a> <a href="area.php?section=applied&member_id=84&project_id=4#area.p" class="dropdown-item">Applied and Numerical Analysis</a> <a href="area.php?section=modeling&member_id=83&project_id=6#area.p" class="dropdown-item">Mathematical Modeling in Biomedicine</a> <a href="area.php?section=statistics&member_id=86&project_id=5#area.p" class="dropdown-item">Statistics and Stochastic Processes</a> </div></li> <!-- Dropdown2 Members --> <li class="nav-item"><a data-menu="members" href="members.php#members" class="nav-link"><span>Members</span></a></li> <!-- Dropdown3 Publications --> <li class="nav-item"><a data-menu="documents" href="documents.php#documents" class="nav-link"><span>Publications</span></a></li> <!-- Dropdown4 Events --> <li class="nav-item dropdown"><a data-menu="seminar" href="#" aria-haspopup="true" aria-expanded="false" role="button" id="navbarDropdown4" class="nav-link dropdown-toggle" data-toggle="dropdown"><span>Events</span></a> <div class="dropdown-menu rounded-0 py-0" aria-labelledby="navbarDropdown4"> <a href="seminars.php?event_type_id=15#seminar" class="dropdown-item">Applied and Numerical Analysis Seminar</a> <a href="seminars.php?event_type_id=16#seminar" class="dropdown-item">Probability and Statistics Seminar</a> <a href="seminars.php?event_type_id=1#seminar" class="dropdown-item">Algebra Seminars</a> <a href="seminars.php?event_type_id=17#seminar" class="dropdown-item">CEMAT's Open Seminar</a> <a href="seminars.php?event_type_id=6#seminar" class="dropdown-item">Scientific Meetings</a> <a href="seminars.php?event_type_id=5#seminar" class="dropdown-item">Courses</a> </div></li> <!-- Gallery --> <li class="nav-item"><a data-menu="projects" href="content.php?section=projects#projects" class="nav-link"><span>Projects</span></a> </li> <!-- Open Positions --> <li class="nav-item"><a data-menu="positions" href="content.php?section=positions#positions" class="nav-link"><span>Open Positions</span></a> </li> <!-- Contacts --> <li class="nav-item"><a data-menu="contacts" href="contacts.php#contacts" class="nav-link"><span>Contacts</span></a></li> </ul> </div> </nav> <div class="container"> <form method="post" name="document" action="document.php?member_id=216&doc_id=3676&ccsForm=document%3AEdit"> <h2><a href="#" onclick="window.history.back();">Publications</a> > Artigos em Revistas Internacionais</h2> <div class="header-bar"></div> <table class="contentTable" cellspacing="0"> <tr> <td> <h3>Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem</h3> <a href="member.php?member_id=216">N. D. Lopes</a>; H.B. de Oliveira <br> <input type="hidden" value="2021" name="year"> <p>Computers and Mathematics with Application, 97 (2021), 122-152 <input type="hidden" value="97" name="pubissue"><input type="hidden" value="122-152" name="pubpage"><input type="hidden" value="Paper in International Scientific Journal with refereeing" name="type"><input type="hidden" value="3" name="status"><input type="hidden" value="3676" name="doc_id"><br> <a href="http://doi.org/10.1016/j.camwa.2021.05.034" target="_blank">http://doi.org/10.1016/j.camwa.2021.05.034</a> <br> <br> We introduce a Continuous/Discontinuous Galerkin Finite Element Method (CDFEM) with interior penalty terms to solve a nonlinear fourth-order problem that appears in the analysis of the confinement of fluid flows governed by the Stokes system. For the associated continuous and discrete problems, we prove the existence and uniqueness of weak solutions. Consistency, stability and convergence of the method are shown analytically. To show the applicability and robustness of the numerical model, several test cases are performed. </p> </td> </tr> </table> </td> </tr> </table> </form> <br> </div> <div id="foot"> <div class="container"> <div class="text-center"> <b>CEMAT</b> - Center for Computational and Stochastic Mathematics </div> <div id="foot-bar"></div> <div class="text-center"> <a href="http://www.ist.utl.pt/" target="_blank">Instituto Superior Têcnico</a><br> <a href="http://www.fc.ul.pt/" target="_blank">Faculdade de Ciências</a><br> <a href="http://www.ul.pt/" target="_blank">Universidade de Lisboa</a><br> </div> </div> </div> <script src="./js/jquery-3.2.1.slim.min.js" integrity="sha384-KJ3o2DKtIkvYIK3UENzmM7KCkRr/rE9/Qpg6aAZGJwFDMVNA/GpGFF93hXpG5KkN" crossorigin="anonymous" ccs_src="./js/jquery-3.2.1.slim.min.js"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/popper.js/1.12.3/umd/popper.min.js" integrity="sha384-vFJXuSJphROIrBnz7yo7oB41mKfc8JzQZiCq4NCceLEaO4IHwicKwpJf9c9IpFgh" crossorigin="anonymous" ccs_src="https://cdnjs.cloudflare.com/ajax/libs/popper.js/1.12.3/umd/popper.min.js"></script> <script src="https://maxcdn.bootstrapcdn.com/bootstrap/4.0.0-beta.2/js/bootstrap.min.js" integrity="sha384-alpBpkh1PFOepccYVYDB4do5UnbKysX5WZXm3XxPqe5iKTfUKjNkCk9SaVuEZflJ" crossorigin="anonymous" ccs_src="https://maxcdn.bootstrapcdn.com/bootstrap/4.0.0-beta.2/js/bootstrap.min.js"></script> <script src="./js/cemat.js"></script> </body> </html>