Shape sensitivity analysis of problems with singularities (Q2717400)
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scientific article; zbMATH DE number 1604938
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shape sensitivity analysis of problems with singularities |
scientific article; zbMATH DE number 1604938 |
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23 April 2002
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problems with singularities
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shape sensitivity analysis
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0.9199656
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0.9114166
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0.9053397
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0.9048999
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Shape sensitivity analysis of problems with singularities (English)
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The authors prove a representation theorem for the shape derivative of functionals depending on solutions of boundary value problems defined in sets with geometric singularities. The result is applied to a control problem with the state equation in the form of the Dirichlet-Neumann boundary value problem. Moreover, the shape derivative of the first eigenvalue of the Laplacian in a domain with a crack is evaluated.NEWLINENEWLINEFor the entire collection see [Zbl 0959.00036].
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