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

Name: Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
Brand: SIAM - SOCIETY FOR INDUSTRIAL AND APPLIED
Price: 251.75 AUD
Availability: BackOrder

By: Michael Ulbrich

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Paperback | 26 October 2011 | Edition Number 1

At a Glance

Paperback
320 Pages

Dimensions(cm)
22.9 x 15.2

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RRP $268.00

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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, choosing a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments 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 nonlinear elliptic differential equations * obstacle problems * 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.

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