Two algorithms for a class of elliptic problems in shape optimization (Q1665068)
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scientific article; zbMATH DE number 6925847
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two algorithms for a class of elliptic problems in shape optimization |
scientific article; zbMATH DE number 6925847 |
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Two algorithms for a class of elliptic problems in shape optimization (English)
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27 August 2018
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Summary: We propose two algorithms for elliptic boundary value problems in shape optimization. With the finite element method, the optimization problem is replaced by a discrete variational problem. We give rules and use them to decide which elements are to be reserved. Those rules are determined by the optimization; as a result, we get the optimal design in shape. Numerical examples are provided to show the effectiveness of our algorithms.
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