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Preprint 13-2003

Exterior Electromagnetic Shaping using Wavelet BEM

Source file is available as :   Postscript Document

Author(s) : Karsten Eppler , Helmut Harbrecht

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 13-2003

MSC 2000

49Q10 Optimization of shapes other than minimal surfaces
65N38 Boundary element methods

Abstract :
The present paper is concerned with exterior electromagnetic shaping in two dimensions. We model the conductors by regular densities which leads to a finite value for the objective and makes a line-search realizable. In order to compute the pressure on the surface we optimize an Augmented Lagrangian by a Newton method using a second order approach for the Lagrange multiplier. Since the underlying state function satisfies an exterior boundary value problem, we compute its first and second order derivatives by boundary integral equations which are solved numerically by a fast wavelet Galerkin scheme. Numerical results demonstrate that we arrive at a fast and robust algorithm for the solution of the considered class of problems.

Keywords : exterior electromagnetic shaping, boundary element method, multiscale methods, augmented Lagrangian approach, Newton method,

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