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

页码：1213 / 1234

页数：22

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