A Posteriori Error Control for a Weakly Over-Penalized Symmetric Interior Penalty Method

Authors:
Susanne C. Brenner;Thirupathi Gudi;Li-Yeng Sung
Affiliations:
Department of Mathematics and Center for Computation and Technology, Louisiana State University, Baton Rouge, USA 70803;Center for Computation and Technology, Louisiana State University, Baton Rouge, USA 70803;Department of Mathematics, Louisiana State University, Baton Rouge, USA 70803
Venue:
Journal of Scientific Computing
Year:
2009

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Abstract

A reliable and efficient residual based a posteriori error estimator is constructed for a weakly over-penalized symmetric interior penalty method for second order elliptic problems. Numerical results that demonstrate the performance of the error estimator are presented.