6533b852fe1ef96bd12aba98
RESEARCH PRODUCT
On a topology optimization problem governed by two-dimensional Helmholtz equation
Jaroslav HaslingerRaino Mäkinensubject
Radial basis functionsLevel set methodTopology optimizationHelmholtz equationdescription
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. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-01-01 |