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 for boundary integral operators of order $$2q$$ 2 q on patchwise smooth and globally Lipschitz continuous mainfolds which amounts to only O(N) O ( N ) relevant matrix coefficients in the system matrix without deteriorating the accuracy offered by the underlying Galerkin scheme. Here, N N denotes the degrees of freedom in the related trial spaces. By numerical results we validate our theoretical findings.
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Harbrecht et al. (2024) studied this question.
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