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Volume 32, Issue 3
A Priori and a Posteriori Error Estimates of a Weakly Over-Penalized Interior Penalty Method for Non-Self-Adjoint and Indefinite Problems

Yuping Zeng, Jinru Chen, Feng Wang & Yanxia Meng

DOI: 10.4208/jcm.1403-CR5

J. Comp. Math., 32 (2014), pp. 332-347.

Published online: 2014-06

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  • 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.

  • Keywords

Interior penalty method, Weakly over-penalization, Non-self-adjoint and indefinite, A priori error estimate, A posteriori error estimate.

  • AMS Subject Headings

65N15, 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{JCM-32-332, author = {Yuping Zeng, Jinru Chen, Feng Wang and Yanxia Meng}, title = {A Priori and a Posteriori Error Estimates of a Weakly Over-Penalized Interior Penalty Method for Non-Self-Adjoint and Indefinite Problems}, journal = {Journal of Computational Mathematics}, year = {2014}, volume = {32}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1403-CR5}, url = {http://global-sci.org/intro/article_detail/jcm/9890.html} }
TY - JOUR T1 - A Priori and a Posteriori Error Estimates of a Weakly Over-Penalized Interior Penalty Method for Non-Self-Adjoint and Indefinite Problems AU - Yuping Zeng, Jinru Chen, Feng Wang & Yanxia Meng JO - Journal of Computational Mathematics VL - 3 SP - 332 EP - 347 PY - 2014 DA - 2014/06 SN - 32 DO - http://doi.org/10.4208/jcm.1403-CR5 UR - https://global-sci.org/intro/article_detail/jcm/9890.html KW - Interior penalty method, Weakly over-penalization, Non-self-adjoint and indefinite, A priori error estimate, A posteriori error estimate. AB -

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.

Yuping Zeng, Jinru Chen, Feng Wang and Yanxia Meng. (2014). A Priori and a Posteriori Error Estimates of a Weakly Over-Penalized Interior Penalty Method for Non-Self-Adjoint and Indefinite Problems. Journal of Computational Mathematics. 32 (3). 332-347. doi:10.4208/jcm.1403-CR5
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