6533b7d3fe1ef96bd1261324
RESEARCH PRODUCT
On a topology optimization problem governed by two-dimensional Helmholtz equation
Raino A. E. MäkinenJaroslav Haslingersubject
Computational MathematicsControl and OptimizationLevel setLevel set methodDiscretizationHelmholtz equationApplied MathematicsNumerical analysisTopology optimizationMathematical analysisRelaxation (approximation)ParametrizationMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-04-03 | Computational Optimization and Applications |