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Volumn 121, Issue 3, 2012, Pages 433-460

Fast evaluation of singular BEM integrals based on tensor approximations

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EID: 84862256346     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-011-0436-6     Document Type: Article
Times cited : (9)

References (15)
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    • Bonnet, M.1
  • 3
    • 18844441348 scopus 로고    scopus 로고
    • Lecture Note 21 of the Max Planck Institute for Mathematics in the Sciences
    • Börm, S., Grasedyck, L., Hackbusch, W.: Hierarchical Matrices. Lecture Note 21 of the Max Planck Institute for Mathematics in the Sciences (2003).
    • (2003) Hierarchical Matrices
    • Börm, S.1    Grasedyck, L.2    Hackbusch, W.3
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    • Black box low tensor rank approximation using fibre-crosses
    • Espig M., Grasedyck L., Hackbusch W.: Black box low tensor rank approximation using fibre-crosses. Constr. Approx. 30, 557-597 (2009).
    • (2009) Constr. Approx. , vol.30 , pp. 557-597
    • Espig, M.1    Grasedyck, L.2    Hackbusch, W.3
  • 6
    • 77956032667 scopus 로고    scopus 로고
    • Hierarchical singular value decomposition of tensors
    • Grasedyck L.: Hierarchical singular value decomposition of tensors. SIAM J. Matrix Anal. Appl. 31, 2029-2054 (2010).
    • (2010) SIAM J. Matrix Anal. Appl. , vol.31 , pp. 2029-2054
    • Grasedyck, L.1
  • 7
    • 77952289640 scopus 로고    scopus 로고
    • A new scheme for the tensor representation
    • Hackbusch W., Kühn S.: A new scheme for the tensor representation. J. Fourier Anal. Appl. 15(5), 706-722 (2009).
    • (2009) J. Fourier Anal. Appl. , vol.15 , Issue.5 , pp. 706-722
    • Hackbusch, W.1    Kühn, S.2
  • 8
    • 68649096448 scopus 로고    scopus 로고
    • Tensor decompositions and applications
    • Kolda T. G., Bader B. W.: Tensor decompositions and applications. SIAM Rev. 51(3), 455-500 (2009).
    • (2009) SIAM Rev. , vol.51 , Issue.3 , pp. 455-500
    • Kolda, T.G.1    Bader, B.W.2
  • 9
    • 21444445529 scopus 로고    scopus 로고
    • On the efficient computation of singular and nearly singular integrals arising in 3D Galerkin BEM
    • Lage C., Sauter S. A.: On the efficient computation of singular and nearly singular integrals arising in 3D Galerkin BEM. ZAMM 76, 273-275 (1996).
    • (1996) Zamm , vol.76 , pp. 273-275
    • Lage, C.1    Sauter, S.A.2
  • 10
    • 70449528138 scopus 로고    scopus 로고
    • Breaking the curse of dimensionality, or how to use svd in many dimensions
    • Oseledets I. V., Tyrtyshnikov E. E.: Breaking the curse of dimensionality, or how to use svd in many dimensions. SIAM J. Sci. Comput. 31(5), 3744-3759 (2009).
    • (2009) SIAM J. Sci. Comput. , vol.31 , Issue.5 , pp. 3744-3759
    • Oseledets, I.V.1    Tyrtyshnikov, E.E.2
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    • TT-cross approximation for multidimensional arrays
    • Oseledets I. V., Tyrtyshnikov E. E.: TT-cross approximation for multidimensional arrays. Linear Algebra Appl. 432, 70-88 (2010).
    • (2010) Linear Algebra Appl. , vol.432 , pp. 70-88
    • Oseledets, I.V.1    Tyrtyshnikov, E.E.2
  • 14
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    • Kernel properties and representations of boundary integral operators
    • Schwab C., Wendland W. L.: Kernel properties and representations of boundary integral operators. Math. Nachr. 156, 187-218 (1992).
    • (1992) Math. Nachr. , vol.156 , pp. 187-218
    • Schwab, C.1    Wendland, W.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.