Two Algorithms for a Class of Elliptic Problems in Shape Optimization. (16th July 2015)

• Record Type: Journal Article
• Authors: Tian, Li; Xiaoxia, Dai; Chengwei, Zhang
• Other Names: Pellicano Francesco Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-07-16
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/241837
• Languages: English
• ISSNs: 1024-123X

Abstract

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.