Adaptive Wavelet Schwarz Methods for the Navier-Stokes Equation. (2nd October 2016)

• Record Type: Journal Article
• Authors: Dahlke, Stephan; Lellek, Dominik; Lui, Shiu Hong; Stevenson, Rob
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 10(2016)
• Page Start: 1213
• Page End: 1234
• Publication Date: 2016-10-02
• Subjects: Adaptive algorithms -- decomposition -- domain -- Navier-Stokes -- Schwarz -- wavelets; 41A25 -- 42C40 -- 65F10 -- 65M55 -- 65N12 -- 65N55 -- 65T60; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1198916
• Languages: English
• ISSNs: 0163-0563

Abstract

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.