Volume 12, Issue 1
The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations

Xiuli Wang ,  Qilong Zhai ,  Ran Zhang and Shangyou Zhang

10.4208/aamm.OA-2019-0088

Adv. Appl. Math. Mech., 12 (2020), pp. 164-188.

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  • 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.

  • History

Published online: 2019-12

  • AMS Subject Headings

65M60, 65M15, 65M12

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