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Compression of boundary integral operators discretized by anisotropic wavelet bases

Date Issued
2023-04-01
Author(s)
Harbrecht, Helmut  
von Rickenbach, Remo  
Abstract
The present article is devoted to wavelet matrix compression for boundary integral equations when using anisotropic wavelet bases for the discretization. We provide a compression scheme which amounts to only $O(N)$ relevant matrix coefficients in the system matrix without deteriorating the accuracy offered by the underlying Galerkin scheme. Here, $N$ denotes the degrees of freedom in the related trial spaces. By numerical results we validate our theoretical findings.
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