Adaptive Wavelet Schwarz Methods for the Navier-Stokes Equation |
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| Authors: | Stephan Dahlke Dominik Lellek Rob Stevenson |
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| Institution: | 1. Department of Mathematics and Computer Science, Philipps University of Marburg, Marburg, Germany;2. Korteweg-de Vries (KdV) Institute for Mathematics, University of Amsterdam, Amsterdam, The Netherlands |
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| 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. |
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| Keywords: | Adaptive algorithms decomposition domain Navier-Stokes Schwarz wavelets |
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