Shape optimization for the Helmholtz equation
Seifrt F, Leugering G, Rohan E (2008)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2008
Journal
Publisher: Gesellschaft für Angewandte Mathematik und Mechanik (GAMM)
Book Volume: 8
Pages Range: 10705-10706
Volume: 8
Issue: 1
Journal Issue: 1
URI: http://onlinelibrary.wiley.com/doi/10.1002/pamm.200810705/full
Open Access Link: http://onlinelibrary.wiley.com/doi/10.1002/pamm.200810705/epdf
Abstract
The aim of our work is to develop optimal dielectric composite structures with specific qualities. The task is to design interfaces of given material components such that the originated structure attains certain optical properties. Propagation of the electromagnetic waves in the composite is described by the Helmholtz equation. Success of the structure is enumerated by the objective function which is to be minimized. Interfaces of the given materials are parametrized by the cubic B–spline curves. The design variables are afterwards the positions of B–spline control points. For objective function evaluation one forward computation of the Helmholtz equation is needed. To get the sensitivity of the objective function we solve the backward (adjoint) equation.
Authors with CRIS profile
Frantiek Seifrt
Lehrstuhl für Angewandte Mathematik
Günter Leugering
Lehrstuhl für Angewandte Mathematik
Additional Organisation(s)
Involved external institutions
Czech Republic (CZ)How to cite
APA:
Seifrt, F., Leugering, G., & Rohan, E. (2008). Shape optimization for the Helmholtz equation. Proceedings in Applied Mathematics and Mechanics, 8(1), 10705-10706. https://dx.doi.org/10.1002/pamm.200810705
MLA:
Seifrt, František, Günter Leugering, and Eduard Rohan. "Shape optimization for the Helmholtz equation." Proceedings in Applied Mathematics and Mechanics 8.1 (2008): 10705-10706.
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