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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.
Author: | W. Freeden, C. Mayer |
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URN: | urn:nbn:de:hbz:386-kluedo-11768 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (239) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 2001 |
Year of first Publication: | 2001 |
Publishing Institution: | 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: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |