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Precise FEM solution of a corner singularity using an adjusted mesh
Author(s) -
Burda P.,
Novotný J.,
Šístek J.
Publication year - 2005
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.929
Subject(s) - a priori and a posteriori , gravitational singularity , finite element method , singularity , domain (mathematical analysis) , mathematics , flow (mathematics) , mesh generation , asymptotic expansion , polygon mesh , mathematical optimization , algorithm , geometry , mathematical analysis , engineering , structural engineering , philosophy , epistemology
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.