Journal article
ISOGEOMETRIC SHAPE OPTIMIZATION FOR ELECTROMAGNETIC SCATTERING PROBLEMS
We consider the benchmark problem of magnetic energy density enhancement in a small spatial region by varying the shape of two symmetric conducting scatterers. We view this problem as a prototype for a wide variety of geometric design problems in electromagnetic applications. Our approach for solving this problem is based on shape optimization and isogeometric analysis.
One of the major di±culties we face to make these methods work together is the need to maintain a valid parametrization of the computational domain during the optimization. Our approach to generating a domain parametrization is based on minimizing a second order approximation to the Winslow functional in the vicinity of a reference parametrization.
Furthermore, we enforce the validity of the parametrization by ensuring the non-negativity of the coe±cients of a B-spline expansion of the Jacobian. The shape found by this approach outperforms earlier design computed using topology optimization by a factor of one billion
Language: | English |
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Year: | 2012 |
Pages: | 117-146 |
ISSN: | 19376472 |
Types: | Journal article |
DOI: | 10.2528/PIERB12091308 |
ORCIDs: | Evgrafov, Anton and Gravesen, Jens |