Optimal Control of Coupled Systems of Partial Differential Equations

Karl Kunisch

ISBN 10: 3764389222 / ISBN 13: 9783764389222

Editore: Birkhäuser Basel, Springer Basel Jul 2009, 2009

Riguardo questo articolo

Neuware -The articles contained in this volume are related to presentations at the inter- tional ¿Conference on Optimal Control of Coupled Systems of Partial Di erential Equations¿, held at the ¿Mathematisches Forschungsinstitut Oberwolfach¿ from March, 2 to 8, 2008. The contributions by internationally well-known scientists in the eld of Applied Mathematics cover various topics as controllability, feedba- control,optimalitysystems,model-reductiontechniques,analysisandoptimalc- trol of ow problems and uid-structure interactions, as well as problems of shape and topology optimization. The applications considered range from the optimi- tion and control of quantum mechanical systems, the optimal design of airfoils, optimal control of crystal growth, the optimization of shape and topology in en- neering to switching or hybrid systems. The applications are thus across all time and length scales, and range from smooth to non-smooth models. The eld of optimization and control of systems governed by partial d- ferential equations and variational inequalities is a very active area of research in Applied Mathematics and in particular in numerical analysis, scienti c c- puting and optimization with a growing impact on engineering applications. In return, the eld bene ts from fascinating and challenging applications in that new mathematical often multiscale-modeling and new numerical tools as well as novel optimization results and corresponding iterative strategies arerequired in order to handle these problems. In particular,it becomes amply clear that constraints have to be taken into account, both on the control- and design-variables as well as on the state variablesandthe domains oftheir governingmodels.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 356 pp. Englisch.

Codice articolo 9783764389222

Dati bibliografici

• Titolo: Optimal Control of Coupled Systems of Partial Differential Equations
• Editore: Birkhäuser Basel, Springer Basel Jul 2009
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3764389222
• ISBN 13: 9783764389222
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 170 A x 25 P (millimetri) 241 millimetri di larghezza per 170 millimetri di altezza per 25 millimetri di profondità
• Peso: 744 grammi

Descrizione articolo

Riassunto

The articles contained in this volume are related to presentations at the inter- tional Conference on Optimal Control of Coupled Systems of Partial Di?erential Equations, held at the Mathematisches Forschungsinstitut Oberwolfach from March, 2 to 8, 2008. The contributions by internationally well-known scientists in the ?eld of Applied Mathematics cover various topics as controllability, feedba- control,optimalitysystems,model-reductiontechniques,analysisandoptimalc- trol of ?ow problems and ?uid-structure interactions, as well as problems of shape and topology optimization. The applications considered range from the optimi- tion and control of quantum mechanical systems, the optimal design of airfoils, optimal control of crystal growth, the optimization of shape and topology in en- neering to switching or hybrid systems. The applications are thus across all time and length scales, and range from smooth to non-smooth models. The ?eld of optimization and control of systems governed by partial d- ferential equations and variational inequalities is a very active area of research in Applied Mathematics and in particular in numerical analysis, scienti?c c- puting and optimization with a growing impact on engineering applications. In return, the ?eld bene?ts from fascinating and challenging applications in that new mathematical often multiscale-modeling and new numerical tools as well as novel optimization results and corresponding iterative strategies arerequired in order to handle these problems. In particular,it becomes amply clear that constraints have to be taken into account, both on the control- and design-variables as well as on the state variablesandthe domains oftheir governingmodels.

Contenuti

Beyond Lack of Compactness and Lack of Stability of a Coupled Parabolic-Hyperbolic Fluid-Structure System.- A Continuous Adjoint Approach to Shape Optimization for Navier Stokes Flow.- Recent Advances in the Analysis of State-constrained Elliptic Optimal Control Problems.- Fast and Strongly Localized Observation for a perturbed Plate Equation.- Representations, Composition, and Decomposition of C 1,1-hypersurfaces.- On Some Nonlinear Optimal Control Problems with Vector-valued Affine Control Constraints.- Weak Solutions to a Model for Crystal Growth from the Melt in Changing Magnetic Fields.- Lavrentiev Prox-regularization Methods for Optimal Control Problems with Pointwise State Constraints.- Nonlinear Feedback Solutions for a Class of Quantum Control Problems.- Optimal Feedback Synthesis for Bolza Control Problem Arising in Linearized Fluid Structure Interaction.- Single-step One-shot Aerodynamic Shape Optimization.- Shape Differentiability of Drag Functional for Compressible Navier-Stokes Equations.- Null-controllability for a Coupled Heat-Finite-dimensional Beam System.- Feedback Modal Control of Partial Differential Equations.- Optimization Problems for Thin Elastic Structures.- A New Non-linear Semidefinite Programming Algorithm with an Application to Multidisciplinary Free Material Optimization.- How to Check Numerically the Sufficient Optimality Conditions for Infinite-dimensional Optimization Problems.- Hidden Boundary Shape Derivative for the Solution to Maxwell Equations and Non Cylindrical Wave Equations.