Domain decomposition in boundary layers for singularly perturbed problems

被引：18

作者：

Boglaev, I ^{[1
]}

机构：

[1] Massey Univ, Inst Fundamental Sci Math, Palmerston North, New Zealand

来源：

APPLIED NUMERICAL MATHEMATICS | 2000年 / 34卷 / 2-3期

关键词：

singularly perturbed problems; domain decomposition method; decomposition of boundary layers; time discretization; parallel computing;

D O I：

10.1016/S0168-9274(99)00124-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with iterative algorithms for domain decomposition applied for solving singularly perturbed elliptic and parabolic problems. These algorithms are based on finite difference domain decomposition methods and are suitable for parallel computation. Domain decomposition inside boundary layers is considered and convergence properties of the algorithms are established. Numerical experiments are presented. (C) 2000 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：145 / 166

页数：22

共 10 条

[1]

BAKHVALOV NS, 1969, USSR COMP MATH MATH+, V9, P841

[2] Iterative domain decomposition algorithms for the solution of singularly perturbed parabolic problems [J].

Boglaev, IP ;

Sirotkin, VV .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 31 (10) :83-100

[3] Iterative algorithms of domain decomposition for the solution of a quasilinear elliptic problem [J].

Boglaev, IP .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 80 (02) :299-316

[4]

BOGLAEV IP, 1997, 9702 FIMS MASS U B

[5]

BOGLAEV IP, 1984, USSR COMP MATH MATH, V25, P30

[6] NUMERICAL-SOLUTION OF A QUASI-LINEAR PARABOLIC EQUATION WITH A BOUNDARY-LAYER [J].

BOGLAYEV, IP .

USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1990, 30 (03) :55-63

[7]

DAWSON CN, 1991, MATH COMPUT, V57, P63, DOI 10.1090/S0025-5718-1991-1079011-4

[8]

Ladyzenskaja O. A., 1968, Linear and Quasi-linear Equation of Parabolic Type

[9]

Miller JJ, 2012, Fitted numerical methods for singular perturbation problems

[10] A note on the conditioning of upwind schemes on Shishkin meshes [J].

Roos, HG .

IMA JOURNAL OF NUMERICAL ANALYSIS, 1996, 16 (04) :529-538

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