Reliable and Efficient a Posteriori Error Estimates of DG Methods for a Simplified Frictional Contact Problem
Year: 2019
Author: Fei Wang, Weimin Han
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 1 : pp. 49–62
Abstract
A posteriori error estimators are studied for discontinuous Galerkin methods for solving a representative elliptic variational inequality of the second kind, known as a simplified frictional contact problem. The estimators are derived by relating the error of the variational inequality to that of a linear problem. Reliability and efficiency of the estimators are theoretically proved.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-IJNAM-12793
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 1 : pp. 49–62
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Elliptic variational inequality discontinuous Galerkin method a posteriori error estimators reliability efficiency.