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

Abstrakt

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.

Klíčová slova

• topology optimization
• Helmholtz equation
• level set method
• radial baisis functions.