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
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 - <p style="text-align: justify;">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.</p>