@Article{JCM-32-3, author = {}, 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 = {https://global-sci.com/article/84642/a-priori-and-a-posteriori-error-estimates-of-a-weakly-over-penalized-interior-penalty-method-for-non-self-adjoint-and-indefinite-problems} }