Two Algorithms for a Class of Elliptic Problems in Shape Optimization

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 opt...

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Bibliographic Details
Main Authors: Li Tian, Dai Xiaoxia, Zhang Chengwei
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/241837