A variable order wavelet method for the sparse representation of layer potentials in the non-standard form
Gespeichert in:
Verfasser / Beitragende:
[J. Tausch]
Ort, Verlag, Jahr:
2004
Enthalten in:
Journal of Numerical Mathematics, 12/3(2004-09-01), 233-254
Format:
Artikel (online)
Online Zugang:
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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 | |
| 773 | 0 | |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/3(2004-09-01), 233-254 |x 1570-2820 |q 12:3<233 |1 2004 |2 12 |o jnma | |
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| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Tausch |D J. |u Department of Mathematics, Southern Methodist University, Dallas, TX 75275 | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Numerical Mathematics |d Walter de Gruyter |g 12/3(2004-09-01), 233-254 |x 1570-2820 |q 12:3<233 |1 2004 |2 12 |o jnma | ||
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