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1. A Posteriori Error Estimates in Maximum Norm for Interior Penalty Discontinuous Galerkin Approximation of the Obstacle Problem

Author

Ayuso de Dios, B, Gudi, T, Porwal, K, Brenner, SC, Chung, E, Klawonn, A, Kwok, F, Xu, J, Zou, J, Ayuso de Dios, B, Gudi, T, and Porwal, K

Subjects
obstacle problem, Discontinuous Galerkin, a-posteriori error analysis
Abstract

The adaptive finite element method (AFEM) is an effective numerical tool for solving linear and nonlinear PDEs. A proper local refinement plays a key role in AFEM and relies on proper a posteriori error estimators. In this contribution, we introduce a pointwise a posteriori error estimator for the symmetric interior penalty discontinuous Galerkin (SIPG) approximation of the elliptic obstacle problem.

Published
2022
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