Multiwavelet Galerkin boundary element solution of Laplace's equation

Engineering Analysis with Boundary Elements

Volumn 30, Issue 2, 2006, Pages 116-123

  Amini, S ^a   Nixon, S P ^a  

^a UNIVERSITY OF SALFORD   (United Kingdom)

Author keywords

Boundary element methods; Laplace's equation; Matrix compression; Multiwavelets

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTATIONAL COMPLEXITY; GALERKIN METHODS; MATRIX ALGEBRA; WAVELET TRANSFORMS;

LAPLACE'S EQUATION; MATRIX COMPRESSION; MULTIWAVELETS;

LAPLACE TRANSFORMS;

EID: 31044435079     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2005.09.004     Document Type: Article

References (18)

1. Alpert BK. Sparse representation of smooth linear operators. PhD Thesis, Yale University; 1990.
2. Amini S, Elmazuzi R, Nixon SP. Multiwavelet collocation boundary element solution of Laplace's equation. In: International conference on computational & experimental engineering and sciences; 2004.
3. Amini S, Nixon SP. A comparison between collocation and Galerkin multiwavelet solution of Laplace's equation. In: Fourth UK conference on boundary integral methods; 2003: p. 254-63. ISBN 0-902896-40-7.
4. Amini S, Nixon SP. Multiwavelet boundary integral solution of Laplace's equation. In: Advances in boundary element techniques IV; 2003. p. 295-136. ISBN: 0904 188965.
5. Amini S, Nixon SP. Multiwavelet Galerkin boundary integral method for Laplace's equation. In: Fourth UK conference on boundary integral methods; 2003. p. 127-36. ISBN: 0-902896-40-7.
6. G. Beylkin, R. Coifman, and V. Roklin Fast wavelet transforms and numerical algorithms I Commun Pure Appl Math 44 1991 141 183
7. C.K. Chui An introduction to wavelets 1992 Academic Press New York
8. C.k. Chui Wavelets: a tutorial in theory and applications 1992 Academic Press New York
9. Dahmen W, Harbrecht H, Schneider R. Compression techniques for boundary integral equations - optimal complexity estimates. Preprint SFB393/02-06, Technische Universität Chemnitz; 2002.
10. W. Dahmen, S. Prossdorf, and R. Schneider Wavelet approximation methods for pseudodifferential equations Ii: matrix compression and fast solution Adv Comput Math 1 1993 259 335
11. Daubechies I. Ten lectures on wavelets, vol. 61. CBMS-NSF regional conference series in applied mathematics; 1992.
12. G.H. Golub, and C.F. Van Loan Matrix computations 1991 The John Hopkins University Press London
13. H. Harbrecht, M. Konik, and R. Schneider Fully discrete wavelet Galerkin schemes Eng Anal Bound Elements 27 2003 423 437
14. Harbrecht H, Schneider R. Wavelet Galerkin Schemes for 2d-Bem. Preprint SFB393/00-20, Technische Universität Chemnitz; 2000.
15. Christian Lage, and Christoph Schwab Wavelet Galerkin algorithms for boundary integral equations SIAM J Sci Comput 20 6 1999 1999 2222
16. Nixon SP. Theory and applications of the multiwavelets for compression of boundary integral operators. PhD Thesis, University of Salford; 2004.
17. Peter S. Wavelet algorithms for illumination computations. PhD Thesis, Princeton University; 1994.
18. R. Wagner, and W. Chew A study of wavelets for the solution of electromagnetic integral equations IEEE Trans Antennas Propag 43 8 1995 802 810