Finite difference domain decomposition algorithms for a parabolic problem with boundary layers

被引：17

作者：

Boglaev, IP ^{[1
]}

机构：

[1] Massey Univ, Dept Math, Palmerston North, New Zealand

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 36卷 / 06期

关键词：

singularly perturbed parabolic problem; domain decomposition method; time discretization; parallel computing;

D O I：

10.1016/S0898-1221(98)00159-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Parallel algorithms combining a time discretization and finite difference domain decomposition methods are applied to solution of a singularly perturbed parabolic problem. Different time discretizations are applied in different subdomains. Convergence results for the algorithms are established. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：25 / 40

页数：16

共 5 条

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Boglaev, IP
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[2] THE COMPUTATION OF TRANSIENT 2-D EDDY-CURRENT PROBLEM BY DOMAIN DECOMPOSITION ALGORITHMS
BOGLAEV, IP
SIROTKIN, VV
LAVERS, JD
[J]. MATHEMATICAL AND COMPUTER MODELLING, 1995, 21 (03) : 39 - 51
[3] BOGLAEV IP, 1984, USSR COMP MATH MATH, V25, P30
[4] NUMERICAL-SOLUTION OF A QUASI-LINEAR PARABOLIC EQUATION WITH A BOUNDARY-LAYER
BOGLAYEV, IP
[J]. USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1990, 30 (03): : 55 - 63
[5] Ladyzhenskaya A., 1968, TRANSL MATH MONOGR, V23

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