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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=3675&locale=pt">pt</a> | <a href="?member_id=216&doc_id=3675&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=3675&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 finite element approximation of a 2d Navier-Stokes problem arising in fluid confinement</h3> H.B. de Oliveira ; <a href="member.php?member_id=216">N. D. Lopes</a> <br> <input type="hidden" value="2024" name="year"> <p>Int. J. Numer. Anal. Mod., 21 (2024), 315-352 <input type="hidden" value="21" name="pubissue"><input type="hidden" value="315-352" 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="3675" name="doc_id"><br> <a href="https://doi.org/10.4208/ijnam2024-1013" target="_blank">https://doi.org/10.4208/ijnam2024-1013</a> <br> <br> In this work, a stationary 2d Navier-Stokes problem with nonlinear feedback forces field is considered in the stream-function formulation. We use the Continuous/Discontinuous Finite Element Method (CD-FEM), with interior penalty terms, to numerically solve the associated boundary-value problem. For the associated continuous and discrete problems, we prove the existence of weak solutions and establish the conditions for their uniqueness. Consistency, stability and convergence of the method are also shown analytically. To validate the numerical model regarding its applicability and robustness, several test cases are carried out. </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>