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

Ayuso de Dios, B and Gudi, T and Porwal, K (2022) A Posteriori Error Estimates in Maximum Norm for Interior Penalty Discontinuous Galerkin Approximation of the Obstacle Problem. In: 26th International Conference on Domain Decomposition Methods, 2020, 7-12 December 2020, Virtual, Online, pp. 205-212.

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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. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Item Type:	Conference Paper
Publication:	Lecture Notes in Computational Science and Engineering
Publisher:	Springer Science and Business Media Deutschland GmbH
Additional Information:	The copyright for this article belongs to Springer Science and Business Media Deutschland GmbH.
Keywords:	Error analysis; Numerical methods, A-posteriori error estimates; Adaptive finite element methods; Discontinuous galerkin; Galerkin's approximation; Interior penalties; Local refinement; Maximum norm; Numerical tools; Obstacle problems; Posteriori error estimator, Galerkin methods
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	25 Apr 2023 08:50
Last Modified:	25 Apr 2023 08:50
URI:	https://eprints.iisc.ac.in/id/eprint/81400

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