FINITE-ELEMENT APPROXIMATION OF A PARABOLIC INTEGRODIFFERENTIAL EQUATION WITH A WEAKLY SINGULAR KERNEL

被引：126

作者：

CHEN, C

THOMEE, V

WAHLBIN, LB

机构：

[1] CHALMERS UNIV TECHNOL,DEPT MATH,S-41262 GOTHENBURG,SWEDEN

[2] CORNELL UNIV,DEPT MATH,ITHACA,NY 14853

来源：

MATHEMATICS OF COMPUTATION | 1992年 / 58卷 / 198期

关键词：

PARABOLIC; INTEGRODIFFERENTIAL EQUATION; MEMORY; GALERKIN; FINITE ELEMENT; WEAKLY SINGULAR KERNEL;

D O I：

10.2307/2153204

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give error estimates for the numerical solution by means of the Galerkin finite element method of an integro-differential equation of parabolic type with a memory term containing a weakly singular kernel. Optimal-order estimates are shown for spatially semidiscrete and completely discrete methods. Special attention is paid to the regularity of the exact solution.

引用

页码：587 / 602

页数：16

共 15 条

[1]

CANNON JR, 1987, UNPUB PRIORI L2 ERRO

[2]

CIARLET P. G., 1991, HDB NUMERICAL ANAL, VII, P19

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