A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems
Year: 2015
East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 4 : pp. 327–341
Abstract
A weakly over-penalized symmetric interior penalty method is applied to solve elliptic eigenvalue problems. We derive a posteriori error estimator of residual type, which proves to be both reliable and efficient in the energy norm. Some numerical tests are provided to confirm our theoretical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.060415.230915a
East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 4 : pp. 327–341
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Interior penalty method weakly over-penalization elliptic eigenvalue problems a posteriori error estimate.