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E-book

Title Optimization with PDE constraints : ESF networking program OPTPDE / Ronald Hoppe, editor
Published Cham : Springer, 2014

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Description 1 online resource
Series Lecture notes in computational science and engineering ; 101
Lecture notes in computational science and engineering ; 101.
Contents Solution of 2D Contact Shape Optimization Problems -- Phase Field Methods for Binary Recovery -- Programming with Separable Ellipsoidal Constraints -- Adaptive Finite Elements for Optimally Controlled Elliptic Variational Inequalities -- Topology Design of Elastic Structures for a Contact Model -- Bisection Methods for Mesh Generation -- Differentiability of Energy Functionals for Unilateral Problems in Domains -- Two-Sided Guaranteed Estimates of the Cost Functional for Optimal Control Problems with Elliptic State Equations -- Sensitivity Analysis of Work Functional for Compressible Navier-Stokes Equations -- Exact Controllability to Trajectories for Navier-Stokes Equations
Summary This book on PDE Constrained Optimization contains contributions on the mathematical analysis and numerical solution of constrained optimal control and optimization problems where a partial differential equation (PDE) or a system of PDEs appears as an essential part of the constraints. The appropriate treatment of such problems requires a fundamental understanding of the subtle interplay between optimization in function spaces and numerical discretization techniques and relies on advanced methodologies from the theory of PDEs and numerical analysis as well as scientific computing. The contributions reflect the work of the European Science Foundation Networking Programme?Optimization with PDEs? (OPTPDE)
Analysis mathematische natuurkunde
mathematical physics
wiskunde
mathematics
engineering
toegepaste wiskunde
applied mathematics
computational science
fysica
physics
optimalisatie
optimization
Mathematics (General)
Wiskunde (algemeen)
Bibliography Includes bibliographical references
Notes Print version record
Subject Differential equations, Partial.
Mathematical optimization.
Differential equations, Partial
Mathematical optimization
Form Electronic book
Author Hoppe, Ronald H. W., editor.
ISBN 9783319080253
3319080253
3319080245
9783319080246
9783319080260
3319080261
9783319361529
331936152X