Format:
1 Online-Ressource (xiv, 308 Seiten)
ISBN:
9781611970692
Series Statement:
MOS-SIAM series on optimization [11]
Content:
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 nonlinear 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
Language:
English
Keywords:
Newton-Verfahren
;
Funktionenraum
;
Optimierung
;
Nebenbedingung
;
Newton-Verfahren
;
Funktionenraum
;
Variationsungleichung
;
Constraint-Programmierung
DOI:
10.1137/1.9781611970692
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