메뉴 건너뛰기




Volumn 74, Issue 251, 2005, Pages 1179-1199

Efficient inversion of the Galerkin matrix of general second-order elliptic operators with nonsmooth coefficients

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21644458055     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-04-01716-8     Document Type: Article
Times cited : (70)

References (20)
  • 1
    • 5844381624 scopus 로고    scopus 로고
    • Approximation of boundary element matrices
    • MR2001j:65022
    • M. Bebendorf: Approximation of boundary element matrices. Numer. Math. 86, 565-589, 2000. MR2001j:65022
    • (2000) Numer. Math. , vol.86 , pp. 565-589
    • Bebendorf, M.1
  • 3
    • 0041841599 scopus 로고    scopus 로고
    • Adaptive low-rank approximation of collocation matrices
    • MR2004a:65177
    • M. Bebendorf and S. Rjasanow: Adaptive Low-Rank Approximation of Collocation Matrices. Computing 70(1), 1-24, 2003. MR2004a:65177
    • (2003) Computing , vol.70 , Issue.1 , pp. 1-24
    • Bebendorf, M.1    Rjasanow, S.2
  • 5
    • 1342347523 scopus 로고    scopus 로고
    • A note on the poincaré-inequality for convex domains
    • MR2004e:65128
    • M. Bebendorf: A Note on the Poincaré-Inequality for Convex Domains. J. Anal. Appl. 22, 751-756, 2003. MR2004e:65128
    • (2003) J. Anal. Appl. , vol.22 , pp. 751-756
    • Bebendorf, M.1
  • 6
    • 84990610636 scopus 로고
    • Fast wavelet transforms and numerical algorithms. I
    • G. Beylkin, R. Coifman, and V. Rokhlin: Fast wavelet transforms and numerical algorithms. I. Comm. Pure Appl. Math. 44(2), 141-183, 1991.
    • (1991) Comm. Pure Appl. Math. , vol.44 , Issue.2 , pp. 141-183
    • Beylkin, G.1    Coifman, R.2    Rokhlin, V.3
  • 7
    • 0000827236 scopus 로고
    • Wavelet approximation methods for pseudodifferential equations. II. Matrix compression and fast solution
    • MR95g:65149
    • W. Dahmen, S. Prössdorf and R. Schneider: Wavelet approximation methods for pseudodifferential equations. II. Matrix compression and fast solution. Adv. Comput. Math. 1(3-4), 259-335, 1993. MR95g:65149
    • (1993) Adv. Comput. Math. , vol.1 , Issue.3-4 , pp. 259-335
    • Dahmen, W.1    Prössdorf, S.2    Schneider, R.3
  • 8
    • 51249161722 scopus 로고
    • Wavelet approximation methods for pseudodifferential equations. I. Stability and convergence
    • MR95g:65148
    • W. Dahmen, S. Prössdorf, and R. Schneider: Wavelet approximation methods for pseudodifferential equations. I. Stability and convergence. Math. Z. 215(4), 583-620, 1994. MR95g:65148
    • (1994) Math. Z. , vol.215 , Issue.4 , pp. 583-620
    • Dahmen, W.1    Prössdorf, S.2    Schneider, R.3
  • 12
    • 0000539082 scopus 로고
    • The Green function for uniformly elliptic equations
    • MR83h:35033
    • M. Grüter and K.-O. Widman: The Green function for uniformly elliptic equations. Manuscripta Math. 37, 303-342, 1982. MR83h:35033
    • (1982) Manuscripta Math. , vol.37 , pp. 303-342
    • Grüter, M.1    Widman, K.-O.2
  • 13
    • 85011484616 scopus 로고    scopus 로고
    • A new version of the fast multipole method for the Laplace equation in three dimensions
    • Cambridge Univ. Press, Cambridge, 1997. MR99c:65012
    • L. Greengard and V. Rokhlin: A new version of the fast multipole method for the Laplace equation in three dimensions. Acta Numerica, 1997, pages 229-269. Cambridge Univ. Press, Cambridge, 1997. MR99c:65012
    • (1997) Acta Numerica , pp. 229-269
    • Greengard, L.1    Rokhlin, V.2
  • 16
    • 0032637646 scopus 로고    scopus 로고
    • A sparse matrix arithmetic based on ℋ-matrices. I. Introduction to ℋ-matrices
    • MR2000c:65039
    • W. Hackbusch: A sparse matrix arithmetic based on ℋ-matrices. I. Introduction to ℋ-matrices. Computing 62, 89-108, 1999. MR2000c:65039
    • (1999) Computing , vol.62 , pp. 89-108
    • Hackbusch, W.1
  • 17
    • 0002133258 scopus 로고    scopus 로고
    • A sparse ℋ-matrix arithmetic. II. Application to multi-dimensional problems
    • MR2001i:65053
    • W. Hackbusch and B. N. Khoromskij: A sparse ℋ-matrix arithmetic. II. Application to multi-dimensional problems. Computing 64, 21-47, 2000. MR2001i:65053
    • (2000) Computing , vol.64 , pp. 21-47
    • Hackbusch, W.1    Khoromskij, B.N.2
  • 18
    • 0001617415 scopus 로고
    • On the fast matrix multiplication in the boundary element method by panel clustering
    • MR89k:65162
    • W. Hackbusch and Z. P. Nowak: On the fast matrix multiplication in the boundary element method by panel clustering. Numer. Math. 54, 463-491, 1989. MR89k:65162
    • (1989) Numer. Math. , vol.54 , pp. 463-491
    • Hackbusch, W.1    Nowak, Z.P.2
  • 20
    • 0029692981 scopus 로고    scopus 로고
    • Mosaic-skeleton approximations
    • MR99f:15005
    • E. Tyrtyshnikov: Mosaic-skeleton approximations. Calcolo 33(1-2), 47-57 (1998), 1996. MR99f:15005
    • (1996) Calcolo , vol.33 , Issue.1-2 , pp. 47-57
    • Tyrtyshnikov, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.