Global optimization methods for computational electromagnetics

Author

Gottvald, A. ; Preis, K. ; Magele, C. ; Biro, O. ; Savini, A.

Author_Institution

Inst. of Sci. Instrum., Brno, Czechoslovakia

Volume

28

Issue

2

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

1537

Lastpage

1540

Abstract

Both higher-order (pseudo)deterministic and zeroth-order probabilistic optimization methods have been analyzed and tested for solving the global optimization problems arising in computational electromagnetics. Previously recommended, but seemingly independent schemes (evolution strategies, simulated annealing, Monte Carlo iteration) have been unified into a robust general method: the global evolution strategy (GES). Regularization techniques, the stability of solutions, and nonlinear phenomena are shown to be topics closely related to global optimization and inverse problems. The speed of convergence is evaluated for different optimization methods. A real-world application (from nuclear magnetic resonance and magnetic resonance imaging) demonstrates the favorable behavior of GES in the context of the finite element method

Keywords

convergence of numerical methods; electromagnetic fields; finite element analysis; optimisation; computational electromagnetics; convergence; finite element method; global evolution strategy; magnetic resonance imaging; nonlinear phenomena; nuclear magnetic resonance; regularization techniques; stability; Computational electromagnetics; Computational modeling; Electromagnetic analysis; Inverse problems; Monte Carlo methods; Optimization methods; Robustness; Simulated annealing; Stability; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.123990

Filename

123990