Numerical solution of an optimal shape design problem with elastic solids (Q1205066)
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scientific article; zbMATH DE number 146812
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solution of an optimal shape design problem with elastic solids |
scientific article; zbMATH DE number 146812 |
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Numerical solution of an optimal shape design problem with elastic solids (English)
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1 April 1993
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An optimal design problem is studied for elastic bodies. We define this problem from a mathematical point of view by functional equations based on virtual works, analyzing later the existence of a solution and the necessary minimum conditions for the adopted cost functional (global deformation). Subsequently the finite element method is applied, obtaining a new problem: the approximate problem, from which the existence of its solution and the convergence of its solution to the original problem solution is proved.
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functional equations
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virtual works
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existence
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cost functional
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convergence
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