Higher-order topological sensitivity analysis for the Laplace operator

被引：1
|
作者：
Hassine, Maatoug [1 ]
Khelifi, Khalifa [1 ]
机构：
[1] Monastir Univ, FSM, Monastir 5019, Tunisia
来源：
COMPTES RENDUS MATHEMATIQUE | 2016年 / 354卷 / 10期
关键词：
FLOW;
D O I：
10.1016/j.crma.2016.09.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with higher-order topological sensitivity analysis for the Laplace operator with respect to the presence of a Dirichlet geometry perturbation. Two main results are presented in this work. In the first one, we discuss the influence of the considered geometry perturbation on the Laplace solution. The second one is devoted to the higher-order topological derivatives. We derive a higher-order topological sensitivity analysis for a large class of shape functions. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：993 / 999
页数：7
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