Kniha Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces Michael Ulbrich

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

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: 50 % šance
Prohledáme celý svět
2 771
Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for sol...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2011
Stránek
320
EAN
9781611970685
ISBN
1611970687
Enbook ID
04419990
Hmotnost
58
Rozměry
170 x 252 x 17

Kompletní popis

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.

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