Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
Ulbrich, Michael
| Autor: | Ulbrich, Michael |
|---|---|
| Themengebiete: | Mathematics |
| Veröffentlichungsdatum: | 28.07.2011 |
| EAN: | 9781611970685 |
| Sprache: | Englisch |
| Seitenzahl: | 320 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Society for Industrial and Applied Mathematics (SIAM) |
Produktinformationen "Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces"
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.
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