Abstract
AbstractThis paper is devoted to the fast solution of boundary integral equations on unstructured meshes by the Galerkin scheme. Since traditional discretizations yield densely populated system matrices it is necessary to use fast techniques like ACA, the multipole method or wavelet matrix compression, which will be the topic of the present paper. On the given, possibly unstructered, mesh we construct a wavelet basis providing vanishing moments with respect to the traces of polynomials in the space. With this basis at hand, the system matrix in wavelet coordinates can be compressed to 𝒪(N logN ) relevant matrix coefficients, where N denotes the number of unknowns. The compressed system matrix can be computed within suboptimal complexity by using fast multipole or ℋ︁‐matrix techniques. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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