Two splitting positive definite mixed finite element methods for parabolic integro-differential equations

被引：8
|
作者：
Guo, Hui [1 ]
Zhang, Jiansong [1 ]
Fu, Hongfei [1 ]
机构：
[1] China Univ Petr, Sch Math & Computat Sci, Dongying 257061, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 22期
基金：
中国国家自然科学基金;
关键词：
Mixed finite element; Independent symmetric positive definite; Convergence analysis; FLOWS; SUPERCONVERGENCE; APPROXIMATIONS; HETEROGENEITY; TRANSPORT;
D O I：
10.1016/j.amc.2012.05.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two novel mixed finite element procedures are established for parabolic integro-differential equations, which can be split into two independent symmetric positive definite sub-schemes and do not need to solve a coupled system of equations without requiring the LBB consistency condition. The convergence analysis shows that both methods lead to the optimal order L-2(Omega) norm error estimate for u and optimal H(div;Omega) norm error estimate for sigma. A numerical example is presented to illustrate the theoretical analysis. (C) 2012 Elsevier Inc. All rights reserved.
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页码：11255 / 11268
页数：14
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