Weak Galerkin finite element methods for linear parabolic integro-differential equations

被引：21

作者：

Zhu, Ailing ^{[1
]}

Xu, Tingting ^{[1
]}

Xu, Qiang ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 32卷 / 05期

基金：

中国国家自然科学基金;

关键词：

error estimates; finite element methods; integro-differential equations; weak Galerkin methods; 2ND-ORDER ELLIPTIC PROBLEMS; BIHARMONIC EQUATION; NUMERICAL-SOLUTION; APPROXIMATIONS;

D O I：

10.1002/num.22053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The semidiscrete and fully discrete weak Galerkin finite element schemes for the linear parabolic integro-differential equations are proposed. Optimal order error estimates are established for the corresponding numerical approximations in both L 2 and H 1 norms. Numerical experiments illustrating the error behaviors are provided.(c) 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 1357-1377, 2016

引用

页码：1357 / 1377

页数：21