Treffer: Fast wavelet BEM for 3d electromagnetic shaping
Title:
Fast wavelet BEM for 3d electromagnetic shaping
Authors:
Source:
Selected papers from the 16th Chemnitz Finite Element Symposium 2003Applied numerical mathematics. 54(3-4):537-554
Publisher Information:
Amsterdam: Elsevier, 2005.
Publication Year:
2005
Physical Description:
print, 23 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Analyse de fourier, Fourier analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Optimisation et calcul variationnel numériques, Numerical methods in optimization and calculus of variations, Analyse Fourier, Fourier analysis, Análisis Fourier, Analyse numérique, Numerical analysis, Análisis numérico, Approximation numérique, Numerical approximation, Aproximación numérica, Champ magnétique, Magnetic field, Campo magnético, Harmonique sphérique, Spherical harmonic, Armónica esférica, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Méthode optimisation, Optimization method, Método optimización, Méthode élément frontière, Boundary element method, Método elemento frontera, Ondelette, Wavelets, Programmation mathématique, Mathematical programming, Programación matemática, Surface, Superficie, Série Fourier, Fourier series, Serie Fourier, Transformation ondelette, Wavelet transformation, Transformación ondita, Optimisation forme, Boundary element methods, Shape optimization
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany
Institute of Computer Science and Applied Mathematics, Christian-Albrechts- University of Kiel, Christian-Albrechts-Platz 4, 24098 Kiel, Germany
Institute of Computer Science and Applied Mathematics, Christian-Albrechts- University of Kiel, Christian-Albrechts-Platz 4, 24098 Kiel, Germany
ISSN:
0168-9274
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.16940511
Database:
PASCAL Archive
Weitere Informationen
In the present paper we combine an energy variational approach with shape optimization techniques to compute numerically free surfaces in electromagnetic shaping and levitation of liquid metals in three dimensions. Assuming the domains to be starshaped, the surfaces are represented via an ansatz by spherical harmonics, which generalizes the approximation by Fourier series in two dimensions. We will show that all ingredients of the shape optimization algorithm, particularly the shape gradient and the cost functional, can be computed by boundary integrals. A wavelet based fast boundary element method of optimal complexity is employed for the computation of the exterior magnetic field and its Neumann-to-Dirichlet map.