Precise FEM solution of a corner singularity using an adjusted mesh

✍ Scribed by P. Burda; J. Novotný; J. Šístek

• Publisher: John Wiley and Sons
• Year: 2005
• Tongue: English
• Weight: 235 KB
• Volume: 47
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.929

✦ Synopsis

Abstract

Within the framework of the finite element method problems with corner‐like singularities (e.g. on the well‐known L‐shaped domain) are most often solved by the adaptive strategy: the mesh near the corners is refined according to the a posteriori error estimates. In this paper we present an alternative approach. For flow problems on domains with corner singularities we use the a priori error estimates and asymptotic expansion of the solution to derive an algorithm for refining the mesh near the corner. It gives very precise solution in a cheap way. We present some numerical results. Copyright © 2005 John Wiley & Sons, Ltd.