Topology Optimization of Conductive Media Described by Maxwell's Equations

Authors:
Ronald H. W. Hoppe;Svetozara Petrova;Volker H. Schulz
Affiliations:
-;-;-
Venue:
NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
Year:
2000

Citing 3
Cited 0

Analysis of a finite element method for Maxwell's equations

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On the formulation and theory of the Newton interior-point method for nonlinear programming

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Primal-Dual Interior Methods for Nonconvex Nonlinear Programming

SIAM Journal on Optimization

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Abstract

The problem of an energy dissipation optimization in a conductive electromagnetic media is considered. The domain is known a priori and is fixed throughout the optimization process. We apply a perturbed and damped interior-point Newton method for the primal-dual formulation of the nonlinear programming problem. Nonnegative slack variables are added to the inequality constraints in the optimization problem. Computational results concerning a two-dimensional isotropic system are included.