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Introduction to shape optimization : shape sensitivity analysis

Parameter

  • 250 Seiten
  • 9 Lesestunden

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This books presents modern functional analytic methods for the sensitivity analysis of some infinite dimensional sy- stems governed by partial differential equations. The main topics are treated in a general and systematic way including many classical applications such as the Signorini Problem, the elastic-plastic torsion problem and the visco-elastic- plastic problem. The „material derivative“ is defined from which any kind of shape derivative of a cost functional can be derived. New results about the wave equation and the unilateral problem are also included in the book which will serve as a theoretical framework for the algorithmic appro- ach to shape optimization problems.

Buchkauf

Introduction to shape optimization : shape sensitivity analysis, Jan Sokołowski, JeanPaul Zolésio

Sprache
Erscheinungsdatum
1992
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(Hardcover)
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Titel
Introduction to shape optimization : shape sensitivity analysis
Sprache
Englisch
Verlag
Springer
Erscheinungsdatum
1992
Einband
Hardcover
Seitenzahl
250
ISBN10
3540541772
ISBN13
9783540541776
Reihe
Beschreibung
This books presents modern functional analytic methods for the sensitivity analysis of some infinite dimensional sy- stems governed by partial differential equations. The main topics are treated in a general and systematic way including many classical applications such as the Signorini Problem, the elastic-plastic torsion problem and the visco-elastic- plastic problem. The „material derivative“ is defined from which any kind of shape derivative of a cost functional can be derived. New results about the wave equation and the unilateral problem are also included in the book which will serve as a theoretical framework for the algorithmic appro- ach to shape optimization problems.