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.
- ISBN:
- 9781611970685
- 9781611970685
-
Category:
- Optimization
- Format:
- Paperback
- Publication Date:
-
28-07-2011
- Language:
- English
- Publisher:
- Society for Industrial & Applied Mathematics,U.S.
- Country of origin:
- United States
- Pages:
- 320
- Dimensions (mm):
- 244x177x15mm
- Weight:
- 0.58kg
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