Multilevel solvers for three-dimensional optimal shape design with an application to magneto-optics

Dalibor Lukas; Dalibor Ciprian; Jaromir Pistora; Kamil Postava; Martin Foldyna

doi:10.1117/12.560131

7 April 2004 Multilevel solvers for three-dimensional optimal shape design with an application to magneto-optics

Dalibor Lukas, Dalibor Ciprian, Jaromir Pistora, Kamil Postava, Martin Foldyna

Proceedings Volume 5445, Microwave and Optical Technology 2003; (2004) https://doi.org/10.1117/12.560131
Event: Microwave and Optical Technology 2003, 2003, Ostrava, Czech Republic

Abstract

This paper presents a new numerical technique for solving design shape optimization problems. The idea is to apply a standard optimization algorithm within a hierarchy of discretizations such that a coarse optimized design is used as the initial guess at the next finer discretized level. We give a comparison with the standard optimization approach which proceeds only on the finest discretization. The method is used for 3-dimensional optimal shape design of an electromagnet that arises in the research on magneto-optic effects.

Citation Download Citation

Dalibor Lukas, Dalibor Ciprian, Jaromir Pistora, Kamil Postava, and Martin Foldyna "Multilevel solvers for three-dimensional optimal shape design with an application to magneto-optics", Proc. SPIE 5445, Microwave and Optical Technology 2003, (7 April 2004); https://doi.org/10.1117/12.560131

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