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

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  • Bog, paperback
  • Engelsk

Beskrivelse

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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Størrelse og vægt
  • Vægt589 g
  • Dybde1,7 cm
  • coffee cup img
    10 cm
    book img
    17,7 cm
    25,1 cm

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