Finite element approximation of diffusion equations with convolution terms

被引：16

作者：

Peszynska, M

机构：

[1] Systems Research Institute, Polish Academy of Sciences, 01-447 Warszawa

来源：

MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 215期

关键词：

integro-partial differential equations; finite elements; convolution integrals;

D O I：

10.1090/S0025-5718-96-00738-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Approximation of solutions to diffusion equations with memory represented by convolution integral terms is considered. Such problems arise from modeling of flows in fissured media. Convergence of the method is proved and results of numerical experiments confirming the theoretical results are presented. The advantages of implementation of the algorithm in a multiprocessing environment are discussed.

引用

页码：1019 / 1037

页数：19

共 36 条

[1]

[Anonymous], DIFFERENTIAL INTEGRA

[2]

[Anonymous], J PARTIAL DIFF EQU

[3] DERIVATION OF THE DOUBLE POROSITY MODEL OF SINGLE-PHASE FLOW VIA HOMOGENIZATION THEORY [J].