Biorthogonal wavelet bases for the boundary element method

  title={Biorthogonal wavelet bases for the boundary element method},
  author={Helmut Harbrecht and Reinhold Schneider},
As shown by Dahmen, Harbrecht and Schneider [7, 23, 32], the fully discrete wavelet Galerkin scheme for boundary integral equations scales linearly with the number of unknowns without compromising the accuracy of the underlying Galerkin scheme. The supposition is a wavelet basis with a sufficiently large number of vanishing moments. In this paper we present several constructions of appropriate wavelet bases on manifolds based on the biorthogonal spline wavelets of A. Cohen, I. Daubechies and J… CONTINUE READING
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