@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} }