Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces (MOS-SIAM Series on Optimization, Band 11) - Softcover

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

Taschenbuch. Zustand: Neu. Neuware - 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, striking a balance between thoroughly developed theory and numerical applications.Although largely self-contained, the book also covers recent developments in the field, 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 semilinear elliptic differential equations, obstacle problems, and flow control of instationary NavierStokes fluids.In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods. Artikel-Nr. 9781611970685

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