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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Adaptive Wavelet Schwarz Methods for Nonlinear Elliptic Partial Differential Equations

Adaptive Wavelet Schwarz Methods for Nonlinear Elliptic Partial Differential Equations

Lellek, Dominik

Paperback

General ComputersGeneral Mathematics

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ISBN10: 3832540679
ISBN13: 9783832540678
Publisher: Logos Verlag Berlin
Published: Sep 15 2015
Pages: 202
Weight: 1.35
Height: 0.48 Width: 6.62 Depth: 9.46
Language: English
Adaptive wavelet methods have recently proven to be a very powerful instrument for the numerical treatment of nonlinear partial differential equations. In many cases, these methods can be shown to converge with an optimal rate with respect to the degrees of freedom and in linear complexity. In this thesis, we couple such algorithms with nonlinear Schwarz domain decomposition techniques. With this approach, we can develop efficient parallel adaptive wavelet Schwarz methods for a class of nonlinear problems and prove their convergence and optimality. We support the theoretical findings with instructive numerical experiments. In addition, we present how these techniques can be applied to the stationary, incompressible Navier-Stokes equation. Furthermore, we couple the adaptive wavelet Schwarz methods with a Newton-type method.

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