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The H2-wavelet method

Alm, Daniel and Harbrecht, Helmut and Krämer, Ulf. (2014) The H2-wavelet method. Journal of computational and applied mathematics, Vol. 267. pp. 131-159.

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Official URL: http://edoc.unibas.ch/dok/A6233714

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Abstract

In the present paper, we introduce the H2-wavelet method for the fast solution of nonlocal operator equations on unstructured meshes. On the given mesh, we construct a wavelet basis which provides vanishing moments with respect to the traces of polynomials in the space. With this basis at hand, the system matrix in wavelet coordinates is compressed to O(N log N) relevant matrix coefficients, where N denotes the number of boundary elements. The compressed system matrix is computed with nearly linear complexity by using the H2-matrix approach. Numerical results in three spatial dimensions validate that we succeeded in developing a fast wavelet Galerkin scheme on unstructured triangular or quadrangular meshes.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)
UniBasel Contributors:Harbrecht, Helmut
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:Elsevier
ISSN:0377-0427
Note:Publication type according to Uni Basel Research Database: Journal article
Last Modified:27 Mar 2014 13:13
Deposited On:27 Mar 2014 13:13

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