TY - JOUR
T1 - Finite Element Eigenvalue Computation on Domains with Reentrant Corners Using Richardson Extrapolation
AU - H. Blum & R. Rannacher
JO - Journal of Computational Mathematics
VL - 4
SP - 321
EP - 332
PY - 1990
DA - 1990/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9444.html
KW - 
AB - <p style="text-align: justify;">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.</p>