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.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
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
Date of the Publication (Server):2001/11/27
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:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011