Trends in PDE Constrained Optimization by Peter Benner
Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on Optimization with Partial Differential Equations from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE constrained optimization. New analytic and algorithmic paradigms have been developed, implemented and validated in the context of real-world applications. In this special volume, contributions from more than fifteen German universities combine the results of this interdisciplinary program with a focus on applied mathematics. The book is divided into five sections on Constrained Optimization, Identification and Control, Shape and Topology Optimization, Adaptivity and Model Reduction, Discretization: Concepts and Analysis and Applications. Peer-reviewed research articles present the most recent results in the field of PDE constrained optimization and control problems. Informative survey articles give an overview of topics that set sustainable trends for future research. This makes this special volume interesting not only for mathematicians, but also for engineers and for natural and medical scientists working on processes that can be modeled by PDEs.-
Software Systems for Structural Optimization
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Numerical Methods in Approximation Theory
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Optimization, Optimal Control and Partial Differential Equations
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The Boundary Integral Approach to Static and Dynamic Contact Problems
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Non-Smooth and Complementarity-Based Distributed Parameter Systems
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Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming
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Inequalities and Applications 2010
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Constrained Optimization and Optimal Control for Partial Differential Equations
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Mathematical Optimization of Water Networks
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Evolution Equations Arising in the Modelling of Life Sciences
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Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices
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General Inequalities 6
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Free Boundary Problems in Continuum Mechanics
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Shape Optimization, Homogenization and Optimal Control
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Numerical Treatment of Integral Equations / Numerische Behandlung von Integralgleichungen
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Numerische Methoden bei graphentheoretischen und kombinatorischen Problemen
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Estimation and Control of Distributed Parameter Systems
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Numerische Methoden der Approximationstheorie
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Numerische Integration
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Anniversary Volume on Approximation Theory and Functional Analysis
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Abstract Spaces and Approximation / Abstrakte Räume und Approximation
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Multivariate Approximation and Interpolation
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Padé-Type Approximation and General Orthogonal Polynomials
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Random Partial Differential Equations
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Multivariate Approximation Theory
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Hybridrechnen
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General Inequalities 2
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Linear Operators and Approximation II / Lineare Operatoren und Approximation II
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Numerische Behandlung von Differentialgleichungen
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Numerical Methods for Bifurcation Problems
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Numerical Treatment of Eigenvalue Problems Vol. 3 / Numerische Behandlung von Eigenwertaufgaben Band 3
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2. Colloquium Über Schaltkreis- und Schaltwerk-Theorie
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Colloquium über Schaltkreis- und Schaltwerk-Theorie
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Numerical Treatment of Free Boundary Value Problems / Numerische Behandlung freier Randwertaufgaben
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Numerical Integration IV
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Numerical Integration III
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Numerical Mathematics Singapore 1988
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Constructive Methods for Nonlinear Boundary Value Problems and Nonlinear Oscillations
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Bifurcation Problems and their Numerical Solution
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Numerische Methoden der Approximationstheorie / Numerical Methods of Approximation Theory
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Parametric Optimization and Approximation
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Domain Decomposition Methods in Optimal Control of Partial Differential Equations
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Konstruktive Methoden der finiten nichtlinearen Optimierung
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Model Reduction for Circuit Simulation
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Modellreduktion
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Model Reduction of Complex Dynamical Systems
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Dimension Reduction of Large-Scale Systems
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System Reduction for Nanoscale IC Design
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Model Reduction of Parametrized Systems
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Large-Scale Networks in Engineering and Life Sciences
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Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory
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Applications
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Snapshot-Based Methods and Algorithms
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System- and Data-Driven Methods and Algorithms
Benner, MPI, GE; Grivet-T., POLITO, Quarteroni, Politec., Rozza, SISSA, IT; Schilders, TU Eind., NE; Silveira, INESC-ID, PT
| SKU | Unavailable |
| ISBN 13 | 9783319381145 |
| ISBN 10 | 3319381148 |
| Title | Trends in PDE Constrained Optimization |
| Author | Peter Benner |
| Series | International Series Of Numerical Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Birkhauser Verlag AG |
| Year published | 2016-09-24 |
| Number of pages | 543 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |