Two Algorithms for a Class of Elliptic Problems in Shape Optimization

Li Tian, Dai Xiaoxia and Zhang Chengwei

Mathematical Problems in Engineering, 2015, vol. 2015, 1-8

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:241837

DOI: 10.1155/2015/241837

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