Wavelets Generated by Layer Potentials

  • By means of the limit and jump relations of classical potential theory the framework of a wavelet approach on a regular surface is established. The properties of a multiresolution analysis are verified, and a tree algorithm for fast computation is developed based on numerical integration. As applications of the wavelet approach some numerical examples are presented, including the zoom-in property as well as the detection of high frequency perturbations. At the end we discuss a fast multiscale representation of the solution of (exterior) Dirichlet's or Neumann's boundary-value problem corresponding to regular surfaces.

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Metadaten
Author:W. Freeden, C. Mayer
URN (permanent link):urn:nbn:de:hbz:386-kluedo-11768
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (239)
Document Type:Preprint
Language of publication:English
Year of Completion:2001
Year of Publication:2001
Publishing Institute:Technische Universität Kaiserslautern
Tag:boundary-value problems of potent; limit and jump relations ; multiscale analysis ; potential operators ; pyramid scheme ; regular surface ; wavelets
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik

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