Adaptive Wavelet Schwarz Methods for the Navier-Stokes Equation

被引：0
|
作者：
Dahlke, Stephan [1 ]
Lellek, Dominik [1 ]
Lui, Shiu Hong [2 ]
Stevenson, Rob [3 ]
机构：
[1] Univ Marburg, Dept Math & Comp Sci, Marburg, Germany
[2] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
[3] Univ Amsterdam, Korteweg de Vries KdV Inst Math, Amsterdam, Netherlands
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2016年 / 37卷 / 10期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Adaptive algorithms; decomposition; domain; Navier-Stokes; Schwarz; wavelets; OPERATOR-EQUATIONS; CONVERGENCE; INTERVAL;
D O I：
10.1080/01630563.2016.1198916
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we are concerned with domain decomposition methods for the stationary incompressible Navier-Stokes equation. We construct an adaptive additive Schwarz method based on discretization by means of a divergence-free wavelet frame. We prove that the method is convergent and asymptotically optimal with respect to the degrees of freedom involved.
引用
收藏
页码：1213 / 1234
页数：22
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