Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
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- Englisch ausgewählt
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Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
28.07.2011
Seitenzahl
320
Maße (L/B/H)
25.8/18.2/1.9 cm
Gewicht
591 g
Sprache
Englisch
ISBN
978-1-61197-068-5
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 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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