On a topology optimization problem governed by two-dimensional Helmholtz equation
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
Published in
Computational Optimization and ApplicationsDate
2015Copyright
© 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.
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.
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Springer New York LLCISSN Search the Publication Forum
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