A variable order wavelet method for the sparse representation of layer potentials in the non-standard form

Verfasser / Beitragende:
[J. Tausch]
Ort, Verlag, Jahr:
2004
Enthalten in:
Journal of Numerical Mathematics, 12/3(2004-09-01), 233-254
Format:
Artikel (online)
ID: 378883461
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100 1 |a Tausch  |D J.  |u Department of Mathematics, Southern Methodist University, Dallas, TX 75275 
245 1 2 |a A variable order wavelet method for the sparse representation of layer potentials in the non-standard form  |h [Elektronische Daten]  |c [J. Tausch] 
520 3 |a We discuss a variable order wavelet method for boundary integral formulations of elliptic boundary value problems. The wavelet basis functions are transformations of standard nodal basis functions and have a variable number of vanishing moments. For integral equations of the second kind we will show that the non-standard form can be compressed to contain only O(N) non-vanishing entries while retaining the asymptotic converge of the full Galerkin scheme, where N is the number of degrees of freedom in the discretization. 
540 |a Copyright 2004, Walter de Gruyter 
690 7 |a boundary element methods  |2 nationallicence 
690 7 |a wavelets  |2 nationallicence 
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