Optimal Control of Partial Differential Equations II: Theory and Applications: Conference Held at the Mathematisches Forschungsinstitut, Oberwolfach,: ... Series of Numerical Mathematics) - Hardcover

Hoffmann; Krabs; Hoffmann, K. -H

Hardcover

ISBN 10: 3764318465 ISBN 13: 9783764318468

Verlag: Birkhäuser, 1986

Inhaltsangabe

This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" which, under the chairmanship of the editors, took place at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986. The great variety of topics covered by the contributions strongly indicates that also in the future it will be impossible to develop a unifying control theory of partial differential equations. On the other hand, there is a strong tendency to treat prob­ lems which are directly connected to practical applications. So this volume contains real-world applications like optimal cooling laws for the production of rolled steel or concrete solutions for the problem of optimal shape design in mechanics and hydrody­ namics. Another main topic is the construction of numerical methods. This includes applications of the finite element method as well as of Quasi-Newton-methods to con­ strained and unconstrained control problems. Also, very complex problems arising in the theory of free boundary value problems are treated. ]~inally, some contribu­ tions show how practical problems stimulate the further development of the theory; in particular, this is the case for fields like suboptimal control, necessary optimality conditions and sensitivity analysis. As usual, the lectures and stimulating discussions took place in the pleasant at­ mosphere of the Mathematisches Forschungsinstitut Oberwolfach. Special thanks of the participants are returned to the Director as well as to the staff of the institute.

Über diesen Titel

Reseña del editor

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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 1986
• ISBN 10: 3764318465
• ISBN 13: 9783764318468
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 240
• Kontakt zum Hersteller: Nicht verfügbar