Multiresolution Data Analysis - Numerical Realization by use of Domain Decomposition Methods and Fast Multipole Techniques / Multiscale Solutions of Oblique Boundary-Value Problems by Layer Potentials

  • This survey paper deals with multiresolution analysis from geodetically relevant data and its numerical realization for functions harmonic outside a (Bjerhammar) sphere inside the Earth. Harmonic wavelets are introduced within a suit- able framework of a Sobolev-like Hilbert space. Scaling functions and wavelets are defined by means of convolutions. A pyramid scheme provides efficient implementation und economical computation. Essential tools are the multiplicative Schwarz alternating algorithm (providing domain decomposition procedures) and fast multipole techniques (accelerating iterative solvers of linear systems).

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Author:W. Freeden, C. Mayer
URN (permanent link):urn:nbn:de:hbz:386-kluedo-12353
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (251)
Document Type:Preprint
Language of publication:English
Year of Completion:2002
Year of Publication:2002
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2002/09/12
Tag:Multiresolution analysis ; domain decomposition methods; harmonic wavelets ; pyramid schemes ; reconstruction formula
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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