Key topics and features:
* Presents foundational introduction to shape optimization theory
* Studies certain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains
* Treats optimal control problems under a general scheme, giving a topological framework, a survey of "gamma"-convergence, and problems governed by ODE
* Examines shape optimization problems with Dirichlet and Neumann conditions on the free boundary, along with the existence of classical solutions
* Studies optimization problems for obstacles and eigenvalues of elliptic operators
* Poses several open problems for further research
* Substantial bibliography and index
Driven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.
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Key topics and features:
* Presents foundational introduction to shape optimization theory
* Studies certain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains
* Treats optimal control problems under a general scheme, giving a topological framework, a survey of "gamma"-convergence, and problems governed by ODE
* Examines shape optimization problems with Dirichlet and Neumann conditions on the free boundary, along with the existence of classical solutions
* Studies optimization problems for obstacles and eigenvalues of elliptic operators
* Poses several open problems for further research
* Substantial bibliography and index
Driven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.
Imprint | Birkhauser Boston |
Country of origin | United States |
Series | Progress in Nonlinear Differential Equations and Their Applications, 65 |
Release date | July 2005 |
Availability | Expected to ship within 12 - 17 working days |
First published | 2005 |
Authors | Dorin Bucur, Giuseppe Buttazzo |
Dimensions | 235 x 155 x 21mm (L x W x T) |
Format | Hardcover |
Pages | 216 |
Edition | 2005 ed. |
ISBN-13 | 978-0-8176-4359-1 |
Barcode | 9780817643591 |
Categories | |
LSN | 0-8176-4359-1 |