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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces - MOS-SIAM Series on Optimization

Paperback (30 Jul 2011)

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Publisher's Synopsis

Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities, and related problems. This book provides a comprehensive presentation of these methods in function spaces, striking a balance between thoroughly developed theory and numerical applications.

Although largely self-contained, the book also covers recent developments in the field, such as state-constrained problems and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including optimal control of semilinear elliptic differential equations, obstacle problems, and flow control of instationary Navier-Stokes fluids.

In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods.

Book information

ISBN: 9781611970685
Publisher: SIAM - Society for Industrial and Applied Mathematics
Imprint: Society for Industrial and Applied Mathematics
Pub date:
DEWEY: 515.64
DEWEY edition: 23
Language: English
Number of pages: 308
Weight: 58g
Height: 252mm
Width: 170mm
Spine width: 17mm