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Wavelets generated by layer potentials

✍ Scribed by W. Freeden; C. Mayer

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
735 KB
Volume
14
Category
Article
ISSN
1063-5203

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✦ Synopsis

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 boundaryvalue problem corresponding to regular surfaces.

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