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Adaptive Modified Weak Galerkin Method for Obstacle Problem

delete2025-11-25
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PRE
AI
W
Wadhawan, Tanvi *
DOI:10.1007/s10543-025-01092-7delete
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Abstract

Abstract

En 中文
In this article a residual based a posteriori error estimator is proposed for the Modified Weak Galerkin (MWG) finite element method applied to the obstacle problem. The estimator is proven to be both reliable and efficient in assessing the approximation error in a natural energy norm. The analysis hinges on the decomposition of the discrete solution into conforming and non-conforming components, which plays a crucial role in error estimation. Numerical experiments validate the theoretical results, demonstrating the accuracy and effectiveness of the proposed approach.
Keywords:
Obstacle problem
Modified weak Galerkin method
a posteriori error analysis
Variational inequalities

Journal

B
BIT Numerical Mathematics
IF:
1.7
Papers:
48
Citations:
0

Organization

H
harish chandra research institute
Scholars:
498
Papers: 554
Citations: 2