Comparison of the Boundary Element Method and the Method of Fundamental Solutions for Analysis of Potential and Elasticity

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Element Method and the Method of Fundamental Solutions for Analysis of Potential and Elasticity</title> <meta name="description" content="Comparison of the Boundary Element Method and the Method of Fundamental Solutions for Analysis of Potential and Elasticity"> <meta name="keywords" content="boundary element method, method of fundamental solutions, elasticity, potential problem, convex domain, concave domain"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav 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class="card"> <div class="card-body"><strong>Paper Count:</strong> 87354</div> </div> </div> </div> <div class="card publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Comparison of the Boundary Element Method and the Method of Fundamental Solutions for Analysis of Potential and Elasticity</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20Zenhari">S. Zenhari</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20R.%20Hematiyan"> M. R. Hematiyan</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Khosravifard"> A. Khosravifard</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20R.%20Feizi"> M. R. Feizi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The boundary element method (BEM) and the method of fundamental solutions (MFS) are well-known fundamental solution-based methods for solving a variety of problems. Both methods are boundary-type techniques and can provide accurate results. In comparison to the finite element method (FEM), which is a domain-type method, the BEM and the MFS need less manual effort to solve a problem. The aim of this study is to compare the accuracy and reliability of the BEM and the MFS. This comparison is made for 2D potential and elasticity problems with different boundary and loading conditions. In the comparisons, both convex and concave domains are considered. Both linear and quadratic elements are employed for boundary element analysis of the examples. The discretization of the problem domain in the BEM, i.e., converting the boundary of the problem into boundary elements, is relatively simple; however, in the MFS, obtaining appropriate locations of collocation and source points needs more attention to obtain reliable solutions. The results obtained from the presented examples show that both methods lead to accurate solutions for convex domains, whereas the BEM is more suitable than the MFS for concave domains. <iframe src="https://publications.waset.org/abstracts/163380.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=boundary%20element%20method" title="boundary element method">boundary element method</a>, <a href="https://publications.waset.org/abstracts/search?q=method%20of%20fundamental%20solutions" title=" method of fundamental solutions"> method of fundamental solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=elasticity" title=" elasticity"> elasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=potential%20problem" title=" potential problem"> potential problem</a>, <a href="https://publications.waset.org/abstracts/search?q=convex%20domain" title=" convex domain"> convex domain</a>, <a href="https://publications.waset.org/abstracts/search?q=concave%20domain" title=" concave domain"> concave domain</a> </p> <a href="https://publications.waset.org/abstracts/163380/comparison-of-the-boundary-element-method-and-the-method-of-fundamental-solutions-for-analysis-of-potential-and-elasticity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/163380.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">90</span> </span> </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a 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Comparison of the Boundary Element Method and the Method of Fundamental Solutions for Analysis of Potential and Elasticity