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portada Adaptive Wavelet Schwarz Methods for Nonlinear Elliptic Partial Differential Equations
Type
Physical Book
Publisher
Author
Language
English
Pages
202
Format
Paperback
ISBN13
9783832540678

Adaptive Wavelet Schwarz Methods for Nonlinear Elliptic Partial Differential Equations

Dominik Lellek (Author) · Logos Verlag Berlin · Paperback

Adaptive Wavelet Schwarz Methods for Nonlinear Elliptic Partial Differential Equations - Dominik Lellek

New Book Imported to Taiwan
Delivery: 18 Sep - 29 Sep Shipping: 13 to 15 business days.
NT$ 3,243
NT$ 3,243

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Synopsis "Adaptive Wavelet Schwarz Methods for Nonlinear Elliptic Partial Differential Equations"

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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