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Volumn 9, Issue 4, 2002, Pages 281-304

Blended kernel approximation in the ℋ-matrix techniques

Author keywords

BEM; Data sparse approximation; FEM; Hierarchical matrices

Indexed keywords


EID: 0038467423     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.273     Document Type: Article
Times cited : (4)

References (16)
  • 1
    • 0001617415 scopus 로고
    • On the fast matrix multiplication in the boundary element method by panel clustering
    • Hackbusch W, Nowak ZP. On the fast matrix multiplication in the boundary element method by panel clustering. Numerische Mathematik 1989; 54:463-491.
    • (1989) Numerische Mathematik , vol.54 , pp. 463-491
    • Hackbusch, W.1    Nowak, Z.P.2
  • 2
    • 0000827236 scopus 로고
    • Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution
    • Dahmen W, Prößdorf S. Schneider R. Wavelet approximation methods for pseudodifferential equations II: matrix compression and fast solution. Advances in Computational Mathematics 1993; 1:259-335.
    • (1993) Advances in Computational Mathematics , vol.1 , pp. 259-335
    • Dahmen, W.1    Prößdorf, S.2    Schneider, R.3
  • 3
    • 85011484616 scopus 로고    scopus 로고
    • A new version of the fast multipole method for the Laplace equation in three dimensions
    • Greengard L, Rokhlin V. A new version of the fast multipole method for the Laplace equation in three dimensions. Acta Numerica 1997; 6:229-269.
    • (1997) Acta Numerica , vol.6 , pp. 229-269
    • Greengard, L.1    Rokhlin, V.2
  • 4
    • 0029692981 scopus 로고    scopus 로고
    • Mosaic-skeleton approximations
    • Tyrtyshnikov EE. Mosaic-skeleton approximations. Calcolo 1996; 33:47-57.
    • (1996) Calcolo , vol.33 , pp. 47-57
    • Tyrtyshnikov, E.E.1
  • 5
    • 38149147298 scopus 로고
    • Effective algorithms with circulant-block matrices
    • Rjasanow S. Effective algorithms with circulant-block matrices. Linear Algebra and its Applications 1994; 202:55-69.
    • (1994) Linear Algebra and Its Applications , vol.202 , pp. 55-69
    • Rjasanow, S.1
  • 6
    • 0142045302 scopus 로고
    • Some cost-effective algorithms using Toeplitz-type matrices
    • Nauka: Moscow; (in Russian)
    • Zhidkov EP, Khoromskij BN. Some cost-effective algorithms using Toeplitz-type matrices. In Numerical Processes and Systems (6). Nauka: Moscow, 1988; 134-144 (in Russian).
    • (1988) Numerical Processes and Systems (6) , pp. 134-144
    • Zhidkov, E.P.1    Khoromskij, B.N.2
  • 8
    • 0032637646 scopus 로고    scopus 로고
    • A sparse matrix arithmetic based on ℋ-matrices. Part I: Introduction to ℋ-matrices
    • Hackbusch W. A sparse matrix arithmetic based on ℋ-matrices. Part I: Introduction to ℋ-matrices. Computing 1999; 62:89-108.
    • (1999) Computing , vol.62 , pp. 89-108
    • Hackbusch, W.1
  • 9
    • 0002133258 scopus 로고    scopus 로고
    • A sparse ℋ-matrix arithmetic. Part II: Application to multi-dimensional problems
    • Hackbusch W, Khoromskij BN. A sparse ℋ-matrix arithmetic. Part II: Application to multi-dimensional problems. Computing 2000; 64:21-47.
    • (2000) Computing , vol.64 , pp. 21-47
    • Hackbusch, W.1    Khoromskij, B.N.2
  • 12
    • 0013004192 scopus 로고    scopus 로고
    • Towards ℋ-matrix approximation of the linear complexity
    • Birkhäuser: Basel
    • Hackbusch W, Khoromskij BN. Towards ℋ-matrix approximation of the linear complexity. In Operator Theory: Advances and Applications, vol. 121. Birkhäuser: Basel, 2001; 194-220.
    • (2001) Operator Theory: Advances and Applications , vol.121 , pp. 194-220
    • Hackbusch, W.1    Khoromskij, B.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.