On a topology optimization problem governed by two-dimensional Helmholtz equation

被引：10

作者：

Haslinger, Jaroslav ^{[1
]}

Makinen, Raino A. E. ^{[2
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Dept Numer Math, Prague 18675 8, Czech Republic

[2] Univ Jyvaskyla, Dept Math Informat Technol, Jyvaskyla 40014, Finland

来源：

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS | 2015年 / 62卷 / 02期

基金：

芬兰科学院;

关键词：

Helmholtz equation; Topology optimization; Level set method; Radial basis functions; BOUNDARY-CONDITIONS; SYSTEMATIC DESIGN; SHAPE;

D O I：

10.1007/s10589-015-9746-4

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The paper deals with a class of shape/topology optimization problems governed by the Helmholtz equation in 2D. To guarantee the existence of minimizers, the relaxation is necessary. Two numerical methods for solving such problems are proposed and theoretically justified: a direct discretization of the relaxed formulation and a level set parametrization of shapes by means of radial basis functions. Numerical experiments are given.

引用

页码：517 / 544

页数：28

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