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Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces (en Inglés)
Michael Ulbrich
(Autor)
·
Society for Industrial and Applied Mathematic
· Tapa Blanda
Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces (en Inglés) - Ulbrich, Michael
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Reseña del libro "Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces (en Inglés)"
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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