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The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations

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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