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

被引：7

作者：

Wang, Xiuli ^{[1
,2
]}

Zhai, Qilong ^{[3
]}

Zhang, Ran ^{[2
]}

Zhang, Shangyou ^{[4
]}

机构：

[1] Jilin Univ, Coll Comp Sci & Technol, Changchun 130012, Jilin, Peoples R China

[2] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China

[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[4] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2020年 / 12卷 / 01期

基金：

中国博士后科学基金; 美国国家科学基金会;

关键词：

Integro-differential problem; weak Galerkin finite element method; discrete weak gradient; discrete weak divergence; SCHEME; POLYNOMIALS; DYNAMICS;

D O I：

10.4208/aamm.OA-2019-0088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：164 / 188

页数：25