The topological asymptotic for the Helmholtz equation

Samet B.; Amstutz S.; Masmoudi M.

首页> 外文期刊>SIAM Journal on Control and Optimization >The topological asymptotic for the Helmholtz equation

【24h】

The topological asymptotic for the Helmholtz equation

机译：Helmholtz方程的拓扑渐近

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The aim of the topological sensitivity analysis is to obtain an asymptotic expansion of a functional with respect to the creation of a small hole in the domain. In this paper such an expansion is obtained for the Helmholtz equation with a Dirichlet condition on the boundary of a circular hole. Some applications of this work to waveguide optimization are presented. [References: 28]

机译：拓扑敏感性分析的目的是相对于在域中创建一个小孔来获得功能的渐近展开。在本文中，对于在圆孔边界上具有Dirichlet条件的Helmholtz方程获得了这种展开。介绍了这项工作在波导优化中的一些应用。 [参考：28]

著录项

来源
《SIAM Journal on Control and Optimization》 |2003年第5期|共22页
作者
Samet B.; Amstutz S.; Masmoudi M.;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Topological optimization; Shape optimization; Topological gradient; Topological asymptotic; Helmholtz equation; Waveguides; Adjoint equation; Shape optimization; Design;

机译：拓扑优化;形状优化;拓扑梯度;拓扑渐近;Helmholtz方程;波导;伴随方程;形状优化;设计;

相似文献

外文文献
中文文献
专利

1. The topological asymptotic for the Helmholtz equation with Dirichlet condition on the boundary of an arbitrarily shaped hole [J] . Pommier J, Samet B SIAM Journal on Control and Optimization . 2004,第3期

机译：任意形状孔边界上具有Dirichlet条件的Helmholtz方程的拓扑渐近性
2. Babich's Expansion and High-Order Eulerian Asymptotics for Point-Source Helmholtz Equations [J] . Qian Jianliang, Yuan Lijun, Liu Yuan, Journal of Scientific Computing . 2016,第3期

机译：点源亥姆霍兹方程的Babich展开和高阶欧拉渐近性
3. High-frequency asymptotics for the modified Helmholtz equation in a half-plane [J] . Min-Hai Huang Boundary value problems . 2014,第1期

机译：半平面中修改后的亥姆霍兹方程的高频渐近性
4. Asymptotics of the Green functions for Helmholtz operators in almost stratified medias [C] . Perez, R.M., Rabinovich, . 2005

机译：几乎分层媒体中亥姆霍兹算子的格林函数渐近性
5. Asymptotic Solutions for High Frequency Helmholtz Equations [D] . Jacobs, Matthew. 2020

机译：高频亥姆霍兹方程的渐近解
6. Power and Sample Size Calculations for Generalized Estimating Equations via Local Asymptotics [O] . Zhigang Li, Ian W. McKeague -1

机译：通过局部渐近学的广义估计方程的功率和样本量计算
7. On the periodic and asymptotically periodic nonlinear Helmholtz equation [O] . Evéquoz, Gilles 2016

机译：关于周期和渐近周期非线性Helmholtz方程
8. Asymptotically Derived Boundary Element Method for the Helmholtz Equation [R] . Giladi, E. , Keller, J. B. 2004

机译：Helmholtz方程的渐近推导边界元方法

The topological asymptotic for the Helmholtz equation

摘要

著录项

相似文献

相关主题

期刊订阅