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Society for Industrial and Applied Mathematics (SIAM) Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces (MPS-SIAM Series on Optimization)

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Description

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.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
28 July 2011
Listed Since
02 May 2011

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