| SEQUENTIAL CONVEX PROGRAMMING METHODS FOR SOLVING LARGE TOPOLOGY OPTIMIZATION PROBLEMS： IMPLEMENTATION AND COMPUTATIONAL RESULTS |
| |
| 作者姓名： | Ch.Zillober K.Schittkowski |
| |
| 作者单位： | Department of Computer Science University of Bayreuth，D-95440 Bayreuth，Germany，Department of Computer Science，University of Bayreuth，D-95440 Bayreuth，Germany |
| |
| 基金项目： | This work was mainly done while the first author was visiting the University of Bayreuth, and was supported by the Chinese Scholarship Council, German Academic Exchange Service （DAAD） and the National Natural Science Foundation of China. |
| |
| 摘 要： | In this paper, we describe a method to solve large-scale structural optimization problems by sequential convex programming （SCP）. A predictor-corrector interior point method is applied to solve the strictly convex subproblems. The SCP algorithm and the topology optimization approach are introduced. Especially, different strategies to solve certain linear systems of equations are analyzed. Numerical results are presented to show the efficiency of the proposed method for solving topology optimization problems and to compare different variants.
|
| 关 键 词： | 大比例优化 拓扑优化 连续凸函数 渐进线 |
| 收稿时间： | 2004-02-04 |
| 修稿时间： | 2004-02-04 |
SEQUENTIAL CONVEX PROGRAMMING METHODS FOR SOLVING LARGE TOPOLOGY OPTIMIZATION PROBLEMS:IMPLEMENTATION AND COMPUTATIONAL RESULTS |
| |
| Ch.Zillober,K.Schittkowski.SEQUENTIAL CONVEX PROGRAMMING METHODS FOR SOLVING LARGE TOPOLOGY OPTIMIZATION PROBLEMS:IMPLEMENTATION AND COMPUTATIONAL RESULTS[J].Journal of Computational Mathematics,2005,23(5):491-502. |
| |
| Authors: | Qin Ni Ch Zillober K Schittkowski |
| |
| Institution: | 1. Nanjing University of Aeronautics and Astronautics, 210016 Nanjing, China; 2. Department of Computer Science, University of Bayreuth, D-95440 Bayreuth, Germany |
| |
| Abstract: | In this paper,we describe a method to solve large-scale structural optimization prob- lems by sequential convex programming(SCP).A predictor-corrector interior point method is applied to solve the strictly convex subproblems.The SCP algorithm and the topology optimization approach are introduced.Especially,different strategies to solve certain linear systems of equations are analyzed.Numerical results are presented to show the efficiency of the proposed method for solving topology optimization problems and to compare different variants. |
| |
| Keywords: | Large scale optimization Topology optimization Sequential convex programming method Predictor-corrector interior point method Method of moving asymptotes |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算数学(英文版)》浏览原始摘要信息 |
