High-order Sobolev preconditioning

被引：8
|
作者：
Richardson, Walter B., Jr. [1 ]
机构：
[1] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期
关键词：
Sobolev gradients; Preconditioning; Differential equations; Least squares; Steepest descent;
D O I：
10.1016/j.na.2005.02.072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper compares the use of first- and second-order Sobolev gradients to solve differential equations using the method of least-squares steepest descent. The use of high-order Sobolev gradients offers a very effective preconditioning strategy for the linear part of a nonlinear differential equation. (C) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：E1779 / E1787
页数：9
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