Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems

被引：0

作者：

Yuan, GW ^{[1
]}

Shen, LJ ^{[1
]}

机构：

[1] Inst Appl Phys & Computat Math, Lab Computat Phys, Div Appl Sci Comp, Beijing 100088, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 4-5期

关键词：

parabolic equations; difference schemes; stability; convergence; domain decomposition;

D O I：

10.1016/S0898-1221(04)90065-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we present an improved stability condition of a finite difference domain decomposition procedure for the parabolic equation. This procedure is proposed in [1], in which interface fluxes are calculated from the solution at the previous time level, and then these fluxes serve as Neumann boundary conditions for implicit subdomain problems. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：793 / 801

页数：9

共 50 条

[11] Explicit-Implicit Splitting Schemes for Parabolic Equations and Systems
Vabishchevich, Petr N.
Zakharov, Petr E.
NUMERICAL METHODS AND APPLICATIONS (NMA 2014), 2015, 8962 : 157 - 166
[12] EXPLICIT IMPLICIT DOMAIN DECOMPOSITION METHODS FOR SOLVING PARABOLIC EQUATIONS
LAEVSKII, YM
GOLOLOBOV, SV
SIBERIAN MATHEMATICAL JOURNAL, 1995, 36 (03) : 506 - 516
[13] THE CONVERGENCE OF A DOMAIN DECOMPOSITION ALGORITHM FOR PARABOLIC PROBLEMS
储德林
周方俊
Numerical Mathematics A Journal of Chinese Universities(English Series), 1993, (02) : 162 - 175
[14] EXPLICIT-IMPLICIT STAGGERED PROCEDURE FOR MULTIBODY DYNAMICS ANALYSIS
PARK, KC
CHIOU, JC
DOWNER, JD
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1990, 13 (03) : 562 - 570
[15] A new GPU-based corrected explicit-implicit domain decomposition scheme for convection-dominated diffusion problems
Foadaddini, Ali
Zolfaghari, Seyed Alireza
Darian, Hossein Mahmoodi
Saadatfar, Hamid
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 123 : 184 - 203
[16] Mass-preserving time second-order explicit-implicit domain decomposition schemes for solving parabolic equations with variable coefficients
Zhou, Zhongguo
Liang, Dong
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (04): : 4423 - 4442
[17] Efficient hybrid explicit-implicit learning for multiscale problems
Efendiev, Yalchin
Leung, Wing Tat
Lin, Guang
Zhang, Zecheng
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 467
[18] Explicit-implicit computational algorithms for multiphase filtration problems
Vabishchevich P.N.
Mathematical Models and Computer Simulations, 2010, 2 (6) : 682 - 690
[19] STABILITY OF EXPLICIT-IMPLICIT MESH PARTITIONS IN TIME INTEGRATION
BELYTSCHKO, T
MULLEN, R
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1978, 12 (10) : 1575 - 1586
[20] A FETI-based mixed explicit-implicit multi-time-step method for parabolic problems
Benes, Michal
Krejci, Tomas
Kruis, Jaroslav
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 333 : 247 - 265

← 1 2 3 4 5 →