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dc.contributor.authorEppler, Karsten
dc.contributor.authorHarbrecht, Helmut
dc.description.abstractThe 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.en
dc.subject.ddc510 Mathematiken
dc.subject.otherexterior electromagnetic shapingen
dc.subject.otherboundary element methoden
dc.subject.othermultiscale methodsen
dc.subject.otheraugmented Lagrangian approachen
dc.subject.otherNewton methoden
dc.titleExterior Electromagnetic Shaping using Wavelet BEMen
dc.typeResearch Paperen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2003, 13en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften » Inst. Mathematikde
tub.subject.msc200049Q10 Optimization of shapes other than minimal surfacesen
tub.subject.msc200065N38 Boundary element methodsen
Appears in Collections:Technische Universität Berlin » Publications

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