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

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

Part of the MOS-SIAM Series on Optimization series

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, 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.

Information

  • Format: Paperback
  • Pages: 322 pages, Illustrations (some col.)
  • Publisher: Society for Industrial & Applied Mathematics,U.S.
  • Publication Date:
  • Category: Numerical analysis
  • ISBN: 9781611970685

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