Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces Paperback
Part of the MOS-SIAM Series on Optimization series
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.
- Format: Paperback
- Pages: 322 pages, Illustrations (some col.)
- Publisher: Society for Industrial & Applied Mathematics,U.S.
- Publication Date: 28/07/2011
- Category: Numerical analysis
- ISBN: 9781611970685