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 L2 and H1 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.
Author Details
Xiuli Wang Email
Qilong Zhai Email
Ran Zhang Email
Shangyou Zhang Email
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