Precise FEM solution of a corner singularity using an adjusted mesh | Zendy

Burda P. | Zendy; Novotný J. | Zendy; Šístek J. | Zendy

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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.

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