A Priori and a Posteriori Error Estimates of a Weakly Over-Penalized Interior Penalty Method for Non-Self-Adjoint and Indefinite Problems
Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 3 : pp. 332–347
Abstract
In this paper, we study a weakly over-penalized interior penalty method for non-self-adjoint and indefinite problems. An optimal a priori error estimate in the energy norm is derived. In addition, we introduce a residual-based a posteriori error estimator, which is proved to be both reliable and efficient in the energy norm. Some numerical tests are presented to validate our theoretical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1403-CR5
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 3 : pp. 332–347
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Interior penalty method Weakly over-penalization Non-self-adjoint and indefinite A priori error estimate A posteriori error estimate.