Inhalt des Dokuments
Preprint 13-2003
Exterior Electromagnetic Shaping using Wavelet BEM
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,