TY - JOUR
T1 - The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations
AU - Wang , Xiuli
AU - Zhai , Qilong
AU - Zhang , Ran
AU - Zhang , Shangyou
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 164
EP - 188
PY - 2019
DA - 2019/12
SN - 12
DO - http://doi.org/10.4208/aamm.OA-2019-0088
UR - https://global-sci.org/intro/article_detail/aamm/13423.html
KW - Integro-differential problem, weak Galerkin finite element method, discrete weak gradient, discrete weak divergence.
AB - <p style="text-align: justify;">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.</p>