Introduction to Shape Optimization : Shape Sensitivity Analysis /
This book presents modern functional analytic methods for the sensitivity analysis of some infinite-dimensional systems governed by partial differential equations. The main topics are treated in a general and systematic way. They include many classical applications such as the Signorini Problem, the...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1992.
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| Series: | Springer series in computational mathematics ;
16. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book presents modern functional analytic methods for the sensitivity analysis of some infinite-dimensional systems governed by partial differential equations. The main topics are treated in a general and systematic way. They include many classical applications such as the Signorini Problem, the elastic-plastic torsion problem and the visco-elastic-plastic problem. The "material derivative" from which any kind of shape derivative of a cost functional can be derived is defined. New results about the wave equation and the unilateral problem are also included in this book. It will serve as a fundamental reference for the algorithmic approach to shape optimization problems. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (iv, 250 pages) |
| ISBN: | 9783642581069 (electronic bk.) 3642581064 (electronic bk.) |
| ISSN: | 0179-3632 ; |