Parallel interval Newton-like Schwarz methods for almost linear parabolic problems

被引：7
|
作者：
Schwandt, Hartmut [1 ]
机构：
[1] Tech Univ Berlin, Fak 2, Inst Math, D-10623 Berlin, Germany
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 199卷 / 02期
关键词：
almost linear parabolic problems; enclosure methods; nonlinear systems of equations; Newton-like methods; Schwarz alternating procedure; domain decomposition; parallel methods;
D O I：
10.1016/j.cam.2005.07.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce parallel interval Newton-Schwarz-like methods for nonlinear systems of equations arising from discretizations of almost linear parabolic problems. By applying interval techniques, we get global convergence properties and verified enclosures. Parallelism is introduced by domain decomposition. Numerical results from a SGI Altix 3700 are included. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：437 / 444
页数：8
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