AN INTERVAL ARITHMETIC DOMAIN DECOMPOSITION METHOD FOR A CLASS OF ELLIPTIC PDES ON NONRECTANGULAR DOMAINS

被引：0

作者：

SCHWANDT, H ^{[1
]}

机构：

[1] TECH UNIV BERLIN,DEPT MATH,D-10623 BERLIN,GERMANY

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 50卷 / 1-3期

关键词：

DOMAIN DECOMPOSITION; INTERVAL ARITHMETIC; ELLIPTIC BOUNDARY VALUE PROBLEMS; NONRECTANGULAR DOMAINS;

D O I：

10.1016/0377-0427(94)90324-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an interval arithmetic domain decomposition method for linear systems with interval coefficients resulting from the application of difference methods for a class of elliptic boundary value problems on domains with irregular geometry. The efficient treatment of such systems is crucial for the efficiency of globally convergent Newton-like interval methods for the corresponding nonlinear problems.

引用

页码：509 / 521

页数：13

共 14 条

[1] Alefeld G., 1983, INTRO INTERVAL COMPU
[2] OPTIMAL SOLUTIONS OF LINEAR INTERVAL SYSTEMS
BARTH, W
[J]. COMPUTING, 1974, 12 (02) : 117 - 125
[3] ANALYSIS OF PRECONDITIONERS FOR DOMAIN DECOMPOSITION
CHAN, TF
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (02) : 382 - 390
[4] ON THE ACCELERATION OF AN INTERVAL-ARITHMETIC ITERATION METHOD
CORNELIUS, H
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1983, 20 (05) : 1010 - 1022
[5] PARALLEL INTERVAL MULTISPLITTINGS
FROMMER, A
MAYER, G
[J]. NUMERISCHE MATHEMATIK, 1989, 56 (2-3) : 255 - 267
[6] GOLUB GH, 1984, ADV COMPUTER METHODS, P360
[7] Moore R.E, 1966, INTERVAL ANAL
[8] NEW TECHNIQUES FOR THE ANALYSIS OF LINEAR INTERVAL EQUATIONS
NEUMAIER, A
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1984, 58 (APR) : 273 - 325
[9] Ortega J.M., 1970, OCLC1154227410, Patent No. 1154227410
[10] THE SOLUTION OF NONLINEAR ELLIPTIC DIRICHLET PROBLEMS ON RECTANGLES BY ALMOST GLOBALLY CONVERGENT INTERVAL-METHODS
SCHWANDT, H
[J]. SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1985, 6 (03): : 617 - 638

← 1 2 →