On a topology optimization problem governed by two-dimensional Helmholtz equation
Abstract
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.
Main Authors
Format
Articles
Research article
Published
2015
Series
Subjects
Publication in research information system
Publisher
Springer New York LLC
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201510133359Use this for linking
Review status
Peer reviewed
ISSN
0926-6003
DOI
https://doi.org/10.1007/s10589-015-9746-4
Language
English
Published in
Computational Optimization and Applications
Citation
- Haslinger, J., & Mäkinen, R. (2015). On a topology optimization problem governed by two-dimensional Helmholtz equation. Computational Optimization and Applications, 62(2), 517-544. https://doi.org/10.1007/s10589-015-9746-4
License
Copyright© Springer Science+Business Media New York 2015. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.