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Volumn 30, Issue 7, 2006, Pages 523-530

Preconditioned multiwavelet Galerkin boundary element solution of Laplace's equation

Author keywords

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

Indexed keywords

FUNCTIONS; LAPLACE TRANSFORMS; MATRIX ALGEBRA; NUMERICAL METHODS; WAVELET TRANSFORMS;

EID: 33744806336     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2006.02.003     Document Type: Article
Times cited : (8)

References (21)
  • 1
    • 33744798499 scopus 로고    scopus 로고
    • Alpert BK. Sparse representation of smooth linear operators. PhD thesis. Yale University; 1990.
  • 2
    • 0032021403 scopus 로고    scopus 로고
    • Preconditioned krylov subspace methods for the boundary integral solution of the Helmholtz problem
    • Amini S., and Maines N. Preconditioned krylov subspace methods for the boundary integral solution of the Helmholtz problem. Int J Numer Methods Eng 41 (1998) 875-898
    • (1998) Int J Numer Methods Eng , vol.41 , pp. 875-898
    • Amini, S.1    Maines, N.2
  • 3
    • 33744790922 scopus 로고    scopus 로고
    • Amini S, Nixon SP. Multiwavelet boundary integral solution of Laplace's equation. In: Advances in boundary element techniques IV; 2003 p. 295-300 [ISBN: 0904 188965].
  • 4
    • 33744802639 scopus 로고    scopus 로고
    • 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].
  • 5
    • 31044435079 scopus 로고    scopus 로고
    • Multiwavelet Galerkin boundary element solution of Laplace's equation
    • Amini S., and Nixon S.P. Multiwavelet Galerkin boundary element solution of Laplace's equation. Eng Anal Bound Elem 30 (2006) 116-123
    • (2006) Eng Anal Bound Elem , vol.30 , pp. 116-123
    • Amini, S.1    Nixon, S.P.2
  • 6
    • 0004665984 scopus 로고
    • Collocation methods for second kind integral equations with non-compact operators
    • Amini S., and Sloan I.H. Collocation methods for second kind integral equations with non-compact operators. J Integral Equat Appl 2 (1989) 1-30
    • (1989) J Integral Equat Appl , vol.2 , pp. 1-30
    • Amini, S.1    Sloan, I.H.2
  • 7
    • 84990610636 scopus 로고
    • Fast wavelet transforms and numerical algorithms I
    • Beylkin G., Coifman R., and Roklin V. Fast wavelet transforms and numerical algorithms I. Commun Pure Appl Math 44 (1991) 141-183
    • (1991) Commun Pure Appl Math , vol.44 , pp. 141-183
    • Beylkin, G.1    Coifman, R.2    Roklin, V.3
  • 10
    • 85011480386 scopus 로고    scopus 로고
    • Wavelet and multiscale methods for operator equations
    • Dahmen W. Wavelet and multiscale methods for operator equations. Acta Numer 6 (1997) 55-228
    • (1997) Acta Numer , vol.6 , pp. 55-228
    • Dahmen, W.1
  • 11
    • 33744819184 scopus 로고    scopus 로고
    • Dahmen W, Harbrecht H, Schneider R. Compression techniques for boundary integral equations-optimal complexity estimates. Preprint SFB393/02-06, Technische Universität Chemnitz; 2002.
  • 12
    • 0000827236 scopus 로고
    • Wavelet approximation methods for pseudodifferential equations. II: matrix compression and fast solution
    • Dahmen W., Prossdorf S., and Schneider R. Wavelet approximation methods for pseudodifferential equations. II: matrix compression and fast solution. Adv Comput Math 1 (1993) 259-335
    • (1993) Adv Comput Math , vol.1 , pp. 259-335
    • Dahmen, W.1    Prossdorf, S.2    Schneider, R.3
  • 13
    • 33744808007 scopus 로고    scopus 로고
    • Daubechies I. Ten lectures on wavelets. CBMS-NSF regional conference series in applied mathematics, vol. 61; 1992.
  • 16
    • 33744784580 scopus 로고    scopus 로고
    • Harbrecht H, Schneider R. Wavelet Galerkin Schemes for 2D-BEM. Preprint SFB393/00-20, Technische Universität Chemnitz; 2000.
  • 17
    • 0033293793 scopus 로고    scopus 로고
    • Wavelet Galerkin algorithms for boundary integral equations
    • Christian Lage, Christoph Schwab
    • Christian Lage, Christoph Schwab. Wavelet Galerkin algorithms for boundary integral equations. SIAM J Sci Comput 20 6 (1999) 2195-2222
    • (1999) SIAM J Sci Comput , vol.20 , Issue.6 , pp. 2195-2222
  • 18
    • 33744811983 scopus 로고    scopus 로고
    • Nixon SP. Theory and applications of the multiwavelets for compression of boundary integral operators. PhD thesis. University of Salford; 2004.
  • 19
    • 0000048673 scopus 로고
    • GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Saad Y., and Schultz M. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J Sci Stat Comput 7 3 (1986) 856-869
    • (1986) SIAM J Sci Stat Comput , vol.7 , Issue.3 , pp. 856-869
    • Saad, Y.1    Schultz, M.2
  • 20
    • 33744803740 scopus 로고    scopus 로고
    • Peter Schröder. Wavelet algorithms for illumination computations. PhD thesis. Princeton University; 1994.
  • 21
    • 0029358579 scopus 로고
    • A study of wavelets for the solution of electromagnetic integral equations
    • Wagner R., and Chew W. A study of wavelets for the solution of electromagnetic integral equations. IEEE Trans Antenn Propag 43 8 (1995) 802-810
    • (1995) IEEE Trans Antenn Propag , vol.43 , Issue.8 , pp. 802-810
    • Wagner, R.1    Chew, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.