Adaptive Wavelet Schwarz Methods for the Navier-Stokes Equation
Adaptive Wavelet Schwarz Methods for the Navier-Stokes Equation
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DOI：
10.1080/01630563.2016.1198916
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发表时间：
2016-07
影响因子：
1.2
通讯作者：
S. Dahlke;Dominik Lellek;S. Lui;R. Stevenson
中科院分区：
文献类型：
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作者：
S. Dahlke;Dominik Lellek;S. Lui;R. Stevenson
本文研究定常不可压Navier-Stokes方程的区域分解方法。我们构造了一个自适应加性施瓦茨方法的离散化的基础上，通过一个发散自由的小波框架。我们证明了该方法是收敛的和渐近最优的自由度。
ABSTRACT 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.