A SMOOTHING METHOD FOR SHAPE OPTIMIZATION: TRACTION METHOD USING THE ROBIN CONDITION

被引：72

作者：

Azegami, Hideyuki ^{[1
]}

Takeuchi, Kenzen ^{[2
]}

机构：

[1] Nagoya Univ, Grad Sch Informat Sci, Dept Complex Syst Sci, Chigusa Ku, Nagoya, Aichi 4648601, Japan

[2] Quint Corp, Tokyo 1830055, Japan

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2006年 / 3卷 / 01期

关键词：

Optimum design; numerical analysis; finite-element method; adjoint variable method; gradient method;

D O I：

10.1142/S0219876206000709

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents an improved version of the traction method that was proposed as a solution to shape optimization problems of domain boundaries in which boundary value problems of partial differential equations are defined. The principle of the traction method is presented based on the theory of the gradient method in Hilbert space. Based on this principle, a new method is proposed by selecting another bounded coercive bilinear form from the previous method. The proposed method obtains domain variation with a solution to a boundary value problem with the Robin condition by using the shape gradient.

引用

页码：21 / 33

页数：13

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