Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Func (BOK)

Michael Ulbrich

919,00 91900
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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.


Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2011 Forfatter Michael Ulbrich
ISBN 9781611970685
Antall sider 320 Dimensjoner 17,4cm x 24,7cm x 1,5cm
Vekt 580 gram Leverandør Bertram Trading Ltd
Emner og form Numerical analysis, Optimization