The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations
Year: 2020
Author: Xiuli Wang, Qilong Zhai, Ran Zhang, Shangyou Zhang
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 1 : pp. 164–188
Abstract
In this paper, we solve linear parabolic integral differential equations using the weak Galerkin finite element method (WG) by adding a stabilizer. The semi-discrete and fully-discrete weak Galerkin finite element schemes are constructed. Optimal convergent orders of the solution of the WG in $L^2$ and $H^1$ norm are derived. Several computational results confirm the correctness and efficiency of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0088
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 1 : pp. 164–188
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Integro-differential problem weak Galerkin finite element method discrete weak gradient discrete weak divergence.
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