Primal-dual Newton-type interior-point method for topology optimization

作     者：Hoppe, RHW Petrova, SI Schulz, V 

作者机构：Univ Augsburg Inst Math D-8900 Augsburg Germany Bulgarian Acad Sci Cent Lab Parallel Proc Sofia Bulgaria Univ Trier Dept Math Trier Germany 

出 版 物：《JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS》 (优选法理论与应用杂志)

年 卷 期：2002年第114卷第3期

页      面：545-571页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Bulgarian Ministry for Education, Science, and Technology, (I-1001/2000, MM-801/1998) Alexander von Humboldt-Stiftung 

主　　题：Eddy current equations topology optimization nonlinear programming primal-dual interior-point methods watchdog strategy 

摘      要：We consider the problem of minimization of energy dissipation in a conductive electromagnetic medium with a fixed geometry and a priori given lower and upper bounds for the conductivity. The nonlinear optimization problem is analyzed by using the primal-dual Newton interior-point method. The elliptic differential equation for the electric potential is considered as an equality constraint. Transforming iterations for the null space decomposition of the condensed primal-dual system are applied to find the search direction. The numerical experiments treat two-dimensional isotropic systems.