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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces (MPS-SIAM Series on Optimization) - Softcover
Synopsis
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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Book Description
A comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field. This book is appropriate for researchers and practitioners in PDE-constrained optimization, nonlinear optimization and numerical analysis, as well as engineers interested in the current theory and methods for solving variational inequalities.
About the Author
Michael Ulbrich is Professor and Chair of Mathematical Optimization in the Department of Mathematics at the Technische Universität München. His main research areas include numerical nonlinear optimization and its applications, optimal control with PDEs, and complementarity problems.
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- PublisherSociety for Industrial and Applied Mathematics
- Publication date2011
- ISBN 10 1611970687
- ISBN 13 9781611970685
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages320
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SEMISMOOTH NEWTON METHODS FOR VARIATIONAL INEQUALITIES AND CONSTRAINED OPTIMIZATION PROBLEMS IN FUNCTION SPACES
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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces (MPS-SIAM Series on Optimization)
Published by
Society for Industrial and Applied Mathematics, 2011
ISBN 10: 1611970687
ISBN 13: 9781611970685
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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
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ISBN 13: 9781611970685
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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
Published by
Society for Industrial and Applied Mathematics, 2011
ISBN 10: 1611970687
ISBN 13: 9781611970685
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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
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Condition: New. Über den AutorMichael Ulbrich is Professor and Chair of Mathematical Optimization in the Department of Mathematics at the Technische Universitaet Muenchen. His main research areas include numerical nonlinear optimization and its appli. Seller Inventory # 904511723
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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces (MPS-SIAM Series on Optimization)
Published by
Society for Industrial and Applied Mathematics, 2011
ISBN 10: 1611970687
ISBN 13: 9781611970685
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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
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Condition: New. 2011. Paperback. A comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field. Series: MPS-SIAM Series on Optimization. Num Pages: 320 pages, Illustrations (some col.). BIC Classification: PBKS; PBU. Category: (P) Professional & Vocational. Dimension: 252 x 170 x 17. Weight in Grams: 588. . . . . . Seller Inventory # V9781611970685
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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
Published by
Society for Industrial & Applied Mathematics,U.S., 2011
ISBN 10: 1611970687
ISBN 13: 9781611970685
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Condition: New. 2011. Paperback. A comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field. Series: MPS-SIAM Series on Optimization. Num Pages: 320 pages, Illustrations (some col.). BIC Classification: PBKS; PBU. Category: (P) Professional & Vocational. Dimension: 252 x 170 x 17. Weight in Grams: 588. . . . . . Books ship from the US and Ireland. Seller Inventory # V9781611970685
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