Variational methods in shape optimization problems
The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathema...
| Main Author: | Bucur, Dorin. |
|---|---|
| Other Authors: | Buttazzo, Giuseppe., SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Boston :
Birkhäuser,
©2005.
Boston : [2005] |
| Physical Description: |
1 online resource (viii, 216 pages) : illustrations. |
| Series: |
Progress in nonlinear differential equations and their applications ;
v. 65. |
| Subjects: |
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| 100 | 1 | |a Bucur, Dorin. | |
| 245 | 1 | 0 | |a Variational methods in shape optimization problems / |c Dorin Bucur, Giuseppe Buttazzo. |
| 260 | |a Boston : |b Birkhäuser, |c ©2005. | ||
| 264 | 1 | |a Boston : |b Birkhäuser, |c [2005] | |
| 264 | 4 | |c ©2005. | |
| 300 | |a 1 online resource (viii, 216 pages) : |b illustrations. | ||
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| 490 | 1 | |a Progress in nonlinear differential equations and their applications ; |v v. 65. | |
| 504 | |a Includes bibliographical references (pages 205-213) and index. | ||
| 505 | 0 | |a 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 -- Shape optimization problems with Neumann condition on the free boundary. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both 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 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. | ||
| 546 | |a English. | ||
| 506 | |a University staff and students only. Requires University Computer Account login off-campus. | ||
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Shapes. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 2 | |a Mathematics. | |
| 650 | 6 | |a Optimisation mathématique. | |
| 650 | 6 | |a Formes. | |
| 650 | 6 | |a Mathématiques. | |
| 650 | 7 | |a geometric shape. |2 aat. | |
| 650 | 7 | |a Optimización matemática. |2 embne. | |
| 650 | 7 | |a Mathematical optimization. |2 fast. | |
| 650 | 7 | |a Shapes. |2 fast. | |
| 700 | 1 | |a Buttazzo, Giuseppe. | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer e-books. | |
| 776 | 0 | 8 | |i Print version: |a Bucur, Dorin. |t Variational methods in shape optimization problems. |d Boston : Birkhäuser, ©2005 |z 0817643591 |z 9780817643591 |w (DLC) 2005045239 |w (OCoLC)58842913. |
| 830 | 0 | |a Progress in nonlinear differential equations and their applications ; |v v. 65. | |
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