Finite Element Eigenvalue Computation on Domains with Reentrant Corners Using Richardson Extrapolation
Year: 1990
Journal of Computational Mathematics, Vol. 8 (1990), Iss. 4 : pp. 321–332
Abstract
In the presence of reentrant corners or changing boundary conditions, standard finite element schemes have only a reduced order of accuracy even at interior nodal points. This pollution effect can be completely described in terms of asymptotic expansions of the error with respect to certain fractional powers of the mesh size. Hence, eliminating the leading pollution terms by Richardson extrapolation may locally increase the accuracy of the scheme. It is shown here that this approach also gives improved approximations for eigenvalues and eigenfunctions which are globally defined quantities.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1990-JCM-9444
Journal of Computational Mathematics, Vol. 8 (1990), Iss. 4 : pp. 321–332
Published online: 1990-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12