On domain decomposition methods for grid parabolic problems

被引：0

作者：

Laevsky, YM ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Inst Computat Math & Math Geophys, Novosibirsk 630090, Russia

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 1998年 / 13卷 / 05期

关键词：

D O I：

10.1515/rnam.1998.13.5.389

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct and study first- and second-order finite difference schemes based on matrix bordering for solving a mixed boundary value parabolic problem. We obtain a stability condition in the subspace and prove theorems about the method error in the energy norm. We construct approximations for the Schur complement, which realize stability requirements, and consider some preconditioners of the domain decomposition method.

引用

页码：389 / 403

页数：15

共 50 条

[1] Domain decomposition method for grid parabolic problems
Zhadaeva, NG
Samarskaya, EA
DIFFERENTIAL EQUATIONS, 1999, 35 (02) : 225 - 232
[2] Dynamic domain decomposition and grid modification for parabolic problems
Yang, D.
Computers and Mathematics with Applications, 1997, 33 (10): : 89 - 103
[3] Dynamic domain decomposition and grid modification for parabolic problems
Yang, D
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (10) : 89 - 103
[4] Domain decomposition and splitting methods for parabolic problems
Gaiffe, S
Glowinski, R
Masson, R
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 331 (09): : 739 - 744
[5] Contractivity of domain decomposition splitting methods for nonlinear parabolic problems
Portero, L.
Arraras, A.
Jorge, J. C.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (04) : 1078 - 1087
[6] Parallel domain decomposition methods with the overlapping of subdomains for parabolic problems
Shishkin, GI
Vabishchevich, PN
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1996, 6 (08): : 1169 - 1185
[7] A DOMAIN DECOMPOSITION METHOD FOR PARABOLIC PROBLEMS
MEURANT, GA
APPLIED NUMERICAL MATHEMATICS, 1991, 8 (4-5) : 427 - 441
[8] A domain decomposition discretization of parabolic problems
Dryja, Maksymilian
Tu, Xuemin
NUMERISCHE MATHEMATIK, 2007, 107 (04) : 625 - 640
[9] A domain decomposition discretization of parabolic problems
Maksymilian Dryja
Xuemin Tu
Numerische Mathematik, 2007, 107 : 625 - 640
[10] Highly parallel space-time domain decomposition methods for parabolic problems
Li, Shishun
Shao, Xinping
Cai, Xiao-Chuan
CCF TRANSACTIONS ON HIGH PERFORMANCE COMPUTING, 2019, 1 (01) : 25 - 34

← 1 2 3 4 5 →