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Finite element approximation for optimal shape design : theory and applications

Author: J Haslinger; P Neittaanmäki
Publisher: Chichester ; New York : Wiley, ©1988.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
A text devoted to the mathematical basis of optimal shape design, to finite element approximation and to numerical realization by applying optimization techniques. The aim is to computerize the design process, thus reducing the time needed to design or to improve an existing design.
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Additional Physical Format: Online version:
Haslinger, J.
Finite element approximation for optimal shape design.
Chichester ; New York : Wiley, ©1988
(OCoLC)569310613
Online version:
Haslinger, J.
Finite element approximation for optimal shape design.
Chichester ; New York : Wiley, ©1988
(OCoLC)607697996
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: J Haslinger; P Neittaanmäki
ISBN: 0471920797 9780471920793
OCLC Number: 18106391
Description: xii, 335 pages : illustrations ; 25 cm
Contents: Preliminaries - Green's formula; abstract setting of optimal shape design problem and its approximation; shape optimization of systems governed by unilateral boundary value state problem - scalar case; approximation of the optimal shape design problems by finite elements - scalar case; numerical realization; shape optimization in unilateral boundary value problems with "flux" cost functional; optimal shape design in contact problems - elastic case; shape optimization of elastic/perfectly plastic bodies in contact; on the design of the optimal covering supported by an obstacle; state constrained optimal control problems and their approximations; FE-grid optimization; concluding remarks on references on optimal shape design and related topics. Appendices: algorithms for FEM; on the differentation of stiffness and mass matrices and force vectors; subgradient method for convex linearly constrained optimization; description of the sequential quadratic programming (SQP) algorithm; on the differentiability of a projection on a convex set in Hilbert space.
Responsibility: J. Haslinger and P. Neittaanmäki.
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Abstract:

A text devoted to the mathematical basis of optimal shape design, to finite element approximation and to numerical realization by applying optimization techniques. The aim is to computerize the  Read more...

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