Optimization with PDE Constraints [electronic resource] : ESF Networking Program 'OPTPDE' / edited by Ronald Hoppe.

Contributor(s): Hoppe, Ronald [editor.] | SpringerLink (Online service)
Material type: TextTextSeries: Lecture Notes in Computational Science and Engineering: 101Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: XII, 402 p. 115 illus., 58 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319080253Subject(s): Mathematics | Mathematical physics | Computer mathematics | Mathematical optimization | Physics | Applied mathematics | Engineering mathematics | Mathematics | Computational Science and Engineering | Appl.Mathematics/Computational Methods of Engineering | Optimization | Mathematical Applications in the Physical Sciences | Numerical and Computational PhysicsAdditional physical formats: Printed edition:: No titleDDC classification: 004 LOC classification: QA71-90Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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).
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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.

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).

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