Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
Michael Ulbrich
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.
سب زمرہ:
سال:
2011
ناشر کتب:
Society for Industrial and Applied Mathematics
زبان:
english
صفحات:
316
ISBN 10:
1611970687
ISBN 13:
9781611970685
فائل:
PDF, 4.69 MB
IPFS:
,
english, 2011