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

• ID: 2697, RIV: 10314307
• ISSN: 0926-6003, ISBN: not specified
• source: Computational Optimization and Applications
• keywords: topology optimization; Helmholtz equation; level set method; radial baisis functions.
• authors: Jaroslav Haslinger, Raino Makinen
• authors from KNM: Haslinger Jaroslav

Abstract

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