Variational Methods in Shape Optimization Problems

Variational Methods in Shape Optimization Problems
Author: Dorin Bucur
Publisher: Springer Science & Business Media
Total Pages: 218
Release: 2006-09-13
Genre: Mathematics
ISBN: 0817644032


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Shape optimization problems are treated from the classical and modern perspectives Targets 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 Requires only a standard knowledge in the calculus of variations, differential equations, and functional analysis Driven by several good examples and illustrations Poses some open questions.


Variational Methods in Shape Optimization Problems
Language: en
Pages: 218
Authors: Dorin Bucur
Categories: Mathematics
Type: BOOK - Published: 2006-09-13 - Publisher: Springer Science & Business Media

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Shape optimization problems are treated from the classical and modern perspectives Targets a broad audience of graduate students in pure and applied mathematics
Variational methods in some shape optimization problems
Language: en
Pages: 217
Authors: Dorin Bucur
Categories: Mathematics
Type: BOOK - Published: 2002-10-01 - Publisher: Edizioni della Normale

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The study of shape optimization problems is a very wide field, both classical, as the isoperimetric problem and Newton problem of the best aerodynamical shape s
Shape Optimization Problems
Language: en
Pages: 646
Authors: Hideyuki Azegami
Categories: Mathematics
Type: BOOK - Published: 2020-09-30 - Publisher: Springer Nature

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This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background. Non-parametric
Variational Methods for Structural Optimization
Language: en
Pages: 561
Authors: Andrej Cherkaev
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engin
Existence and Regularity Results for Some Shape Optimization Problems
Language: en
Pages: 362
Authors: Bozhidar Velichkov
Categories: Mathematics
Type: BOOK - Published: 2015-03-21 - Publisher: Springer

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​We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger