Approximation and numerical realization of an optimal design welding problem

被引：6

作者：

Chakib, A. ^{[1
]}

Nachaoui, A. ^{[2
]}

Nachaoui, M. ^{[1
,2
]}

机构：

[1] Univ Sultan Moulay slimane, Lab Math & Applicat, Fac Sci & Tech, BP 523, Beni Mellal, Morocco

[2] Univ Nantes, Lab Math Jean Leray CNRS UMR6629, F-44322 Nantes, France

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 29卷 / 05期

关键词：

welding; free boundary; shape optimization; noncoercive operator; finite element;

D O I：

10.1002/num.21767

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we deal with the approximation of an optimal shape design approach for a free boundary problem modeling a welding process. We consider discretization of this problem based on linear finite elements. We prove the existence of discrete optimal solutions. This allows us to show the convergence result of a sequence of discrete solutions to the continuous one. Finally, methods for numerical realization are described and several examples have been carried out to illustrate the efficiency of the proposed approach. (C) 2013 Wiley Periodicals, Inc.

引用

页码：1563 / 1586

页数：24

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