Variational methods in shape optimization problems
The study of shape optimization problems involves a wide area of academic research and applications to the real world. In this work these problems are treated from the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems. Key topics: * Presents foundational introduction to shape optimization theory * Studies some classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, optimization problems over classes of convex domains * Treats optimal control problems under a general scheme, giving a topological framework, a survey of G-convergence, problems governed by ODE * Examines shape optimization problems with Dirichlet and Neumann condition on the free boundary, the existence of classical solutions * Poses some open questions Driven by several good examples and illustrations, the book requires only a standard knowledge in the calculus of variations, differential equations, and functional analysis. TOC:Preface * Introduction to shape optimization theory and some classical problems * Optimization problems over classes of convex domains * Optimal control problems: a general scheme * Shape optimization problems with Dirichlet condition on the free boundary * Existence of classical solutions * Optimization problems for functions of eigenvalues * Bibliography * Index
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
-
0817643591
- Dimensions
-
25 cm
- Extent
-
VII, 216 S.
- Language
-
Englisch
- Notes
-
graph. Darst.
Literaturverz. S. 205 - 213
- Bibliographic citation
-
Progress in non-linear differential equations and their applications ; Vol. 65
- Classification
-
Mathematik
- Keyword
-
Gestaltoptimierung
Variationsrechnung
- Event
-
Veröffentlichung
- (where)
-
Boston, Basel, Berlin
- (who)
-
Birkhäuser
- (when)
-
2005
- Creator
- Table of contents
- Rights
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Last update
-
11.06.2025, 1:46 PM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Bucur, Dorin
- Buttazzo, Giuseppe
- Birkhäuser
Time of origin
- 2005
Other Objects (12)
Numerical methods in sensitivity analysis and shape optimization
An invitation to variational methods in differential equations
Variational methods : proceedings of a conference, Paris, June 1988
Variational and topological methods in the study of nonlinear phenomena
Mathematical methods in physics : distributions, Hilbert space operators, and variational methods
Variational methods in shape space
Variational problems with concentration
Variational methods for discontinuous structures : international workshop at Villa Erba (Cernobbio), Italy, July 2001
Variational methods in image segmentation : with seven image processing experiments
Variational problems in materials science
Parametrized measures and variational principles
Differential equations, chaos and variational problems
Numerical methods in sensitivity analysis and shape optimization
An invitation to variational methods in differential equations
Variational methods : proceedings of a conference, Paris, June 1988
Variational and topological methods in the study of nonlinear phenomena
Mathematical methods in physics : distributions, Hilbert space operators, and variational methods
Variational methods in shape space
Variational problems with concentration
Variational methods for discontinuous structures : international workshop at Villa Erba (Cernobbio), Italy, July 2001
Variational methods in image segmentation : with seven image processing experiments
Variational problems in materials science
Parametrized measures and variational principles
Differential equations, chaos and variational problems
Numerical methods in sensitivity analysis and shape optimization
An invitation to variational methods in differential equations
Variational methods : proceedings of a conference, Paris, June 1988
Variational and topological methods in the study of nonlinear phenomena
Mathematical methods in physics : distributions, Hilbert space operators, and variational methods
Variational methods in shape space
Variational problems with concentration
Variational methods for discontinuous structures : international workshop at Villa Erba (Cernobbio), Italy, July 2001
Variational methods in image segmentation : with seven image processing experiments
Variational problems in materials science
Parametrized measures and variational principles