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Optimal Control of Partial Differential Equations II : Theory and Applications :  Theory and Applications - Karl Heinz Hoffmann

Optimal Control of Partial Differential Equations II : Theory and Applications

Theory and Applications


Published: January 1986
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This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" held at the Wasserschloss Klaffenbach near Chemnitz (Saxony, Germany) from April 20 to 25, 1998. The conference was organized by the editors of this volume. Along with the dramatic increase in computer power, the application of PDE-based control theory and the corresponding numerical algorithms to industrial problems has become more and more important in recent years. This development is reflected by the fact that researchers focus their interest on challenging problems such as the study of controlled fluid-structure interactions, flexible structures, noise reduction, smart materials, the optimal design of shapes and material properties and specific industrial processes. All of these applications involve the analytical and numerical treatment of nonlinear partial differential equations with nonhomogeneous boundary or transmission conditions along with some cost criteria to be minimized. The mathematical framework contains modelling and analysis of such systems as well as the numerical analysis and implemention of algorithms in order to solve concrete problems. This volume offers a wide spectrum of aspects of the discipline and is of interest to mathematicians as well as to scientists working in the fields of applications.

On a Domain Optimization Problem in Hydromechanics.- On a Certain Optimal Harvesting Problem with Continuous Age Structure.- A Continuous Media: Interpretation Terms of Phase-Portrait Method for Dynamic Systems.- Optimal Periodic Control of Quasilinear Systems in Hilbert Spaces.- An Inverse Problem for a Nonlinear Heat Equation Connected with Continuous Casting of Steel.- Convergence of Suboptimal Controls for Point Targets.- On State Constrained Optimal Shape Design Problems.- An Application of Quasi Newton Methods to Pseudoparabolic Optimal Control Problems.- Asymptotic Stability of Solutions to a Two-Phase Stefan Problem with Nonlinear Boundary Condition of Signorini Type.- On the Control of the Secondary Cooling in the Continuous Casting Process.- Optimal Control of Two-Phase Stefan Problems - Numerical Solutions.- Justification of Necessary Optimal Conditions for Certain Integral Functionals.- Semidiscrete Finite Element Approximation of Parabolic Boundary Control Problems - Convergence of Switching Points.

ISBN: 9783764318468
ISBN-10: 3764318465
Series: International Series of Numerical Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 227
Published: January 1986
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 23.5 x 15.5  x 1.4
Weight (kg): 1.14