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Volumn 29, Issue 7, 2005, Pages 673-688

On the preconditioners for fast multipole boundary element methods for 2D multi-domain elastostatics

Author keywords

Boundary element; Elastostatics; Fast multipole; GMRES; Inclusion; Preconditioner; Sparse approximate inverse

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; ELASTICITY; ELECTROMAGNETISM; INTEGRAL EQUATIONS; ITERATIVE METHODS; MATRIX ALGEBRA; VECTORS;

EID: 20744444228     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2005.03.002     Document Type: Article
Times cited : (71)

References (39)
  • 1
    • 0000048673 scopus 로고
    • GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems
    • Y. Saad, and M.H. Schultz GMRES: a generalized minimum residual algorithm for solving nonsymmetric linear systems SIAM J Sci Stat Comput 7 1986 856 869
    • (1986) SIAM J Sci Stat Comput , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 2
    • 0023263792 scopus 로고
    • Iterative methods for solving boundary element equations
    • R.L. Mullen, and J.J. Rencis Iterative methods for solving boundary element equations Comput Struct 25 1987 713 723
    • (1987) Comput Struct , vol.25 , pp. 713-723
    • Mullen, R.L.1    Rencis, J.J.2
  • 3
    • 0026169030 scopus 로고
    • Iterative solution techniques in boundary element analysis
    • J.H. Kane, D.E. Keyes, and K.G. Prasad Iterative solution techniques in boundary element analysis Int J Numer Meth Eng 31 1991 1511 1536
    • (1991) Int J Numer Meth Eng , vol.31 , pp. 1511-1536
    • Kane, J.H.1    Keyes, D.E.2    Prasad, K.G.3
  • 4
    • 84986946256 scopus 로고
    • Solution of BEM systems of equations via iterative techniques
    • W.J. Mansur, F.C. Araujo, and J.E.B. Malaghini Solution of BEM systems of equations via iterative techniques Int J Numer Meth Eng 33 1992 1823 1841
    • (1992) Int J Numer Meth Eng , vol.33 , pp. 1823-1841
    • Mansur, W.J.1    Araujo, F.C.2    Malaghini, J.E.B.3
  • 7
    • 0036867930 scopus 로고    scopus 로고
    • Preconditioning techniques for large linear systems: A survey
    • M. Benzi Preconditioning techniques for large linear systems: a survey J Comput Phys 182 2002 418 477
    • (2002) J Comput Phys , vol.182 , pp. 418-477
    • Benzi, M.1
  • 8
    • 0033149240 scopus 로고    scopus 로고
    • A comparative study of sparse approximate inverse preconditioners
    • M. Benzi, and M. Tuma A comparative study of sparse approximate inverse preconditioners Appl Numer Math 30 2-3 1999 305 340
    • (1999) Appl Numer Math , vol.30 , Issue.2-3 , pp. 305-340
    • Benzi, M.1    Tuma, M.2
  • 9
    • 20744440852 scopus 로고    scopus 로고
    • Some sparse pattern selection strategies for robust Frobenius norm minimization preconditioners in electromagnetism
    • CERFACS, France
    • Carpentieri B, Duff IS, Giraud L. Some sparse pattern selection strategies for robust Frobenius norm minimization preconditioners in electromagnetism. Technical report TR/PA/00/05, CERFACS, France; 2000.
    • (2000) Technical Report , vol.TR-PA-00-05
    • Carpentieri, B.1    Duff, I.S.2    Giraud, L.3
  • 10
    • 0032385045 scopus 로고    scopus 로고
    • Efficient computation of sparse approximate inverses
    • T. Huckle Efficient computation of sparse approximate inverses Numer Lin Alg Appl 5 1998 57 71
    • (1998) Numer Lin Alg Appl , vol.5 , pp. 57-71
    • Huckle, T.1
  • 11
    • 0033149565 scopus 로고    scopus 로고
    • Approximate sparsity patterns for the inverse of a matrix and preconditioning
    • T. Huckle Approximate sparsity patterns for the inverse of a matrix and preconditioning Appl Numer Math 30 1999 291 303
    • (1999) Appl Numer Math , vol.30 , pp. 291-303
    • Huckle, T.1
  • 12
    • 0036989839 scopus 로고    scopus 로고
    • Explicit approximate inverse preconditioning techniques
    • G.A. Gravvanis Explicit approximate inverse preconditioning techniques Arch Comput Meth Eng 9 4 2002 371 402
    • (2002) Arch Comput Meth Eng , vol.9 , Issue.4 , pp. 371-402
    • Gravvanis, G.A.1
  • 13
    • 0000722586 scopus 로고
    • Preconditioning for boundary integral equations
    • S.A. Vavasis Preconditioning for boundary integral equations SIAM J Matrix Anal Appl 13 3 1992 905 925
    • (1992) SIAM J Matrix Anal Appl , vol.13 , Issue.3 , pp. 905-925
    • Vavasis, S.A.1
  • 14
    • 0032228601 scopus 로고    scopus 로고
    • On a class of preconditioning methods for dense linear systems from boundary elements
    • K. Chen On a class of preconditioning methods for dense linear systems from boundary elements SIAM J Sci Comput 20 2 1998 684 698
    • (1998) SIAM J Sci Comput , vol.20 , Issue.2 , pp. 684-698
    • Chen, K.1
  • 15
    • 0034817549 scopus 로고    scopus 로고
    • Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz equation
    • K. Chen, and P.J. Harris Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz equation Appl Numer Math 36 2001 475 489
    • (2001) Appl Numer Math , vol.36 , pp. 475-489
    • Chen, K.1    Harris, P.J.2
  • 16
    • 0036494039 scopus 로고    scopus 로고
    • A coarse preconditioner for multi-domain boundary element equations
    • K. Davey, S. Bounds, I. Rosindale, and M.T. Alonso Rasgado A coarse preconditioner for multi-domain boundary element equations Comput Struct 80 2002 643 658
    • (2002) Comput Struct , vol.80 , pp. 643-658
    • Davey, K.1    Bounds, S.2    Rosindale, I.3    Alonso Rasgado, M.T.4
  • 17
    • 46549096170 scopus 로고
    • Rapid solution of integral equations of classical potential theory
    • V. Rokhlin Rapid solution of integral equations of classical potential theory J Comput Phys 60 1985 187 207
    • (1985) J Comput Phys , vol.60 , pp. 187-207
    • Rokhlin, V.1
  • 18
    • 0004778733 scopus 로고    scopus 로고
    • Application of the fast multipole method to the 3-D BEM analysis of electron guns
    • M. Marchetti Computational Mechanics Southampton, NY*et al.
    • T. Nishida, and K. Hayami Application of the fast multipole method to the 3-D BEM analysis of electron guns M. Marchetti Boundary elements XIX 1997 Computational Mechanics Southampton, NY 613 622
    • (1997) Boundary Elements XIX , pp. 613-622
    • Nishida, T.1    Hayami, K.2
  • 19
    • 0032762829 scopus 로고    scopus 로고
    • A fast multipole boundary integral equation method for crack problems in 3D
    • N. Nishimura, K. Yoshida, and S. Kobayashi A fast multipole boundary integral equation method for crack problems in 3D Eng Anal Boundary Elements 23 1999 97 105
    • (1999) Eng Anal Boundary Elements , vol.23 , pp. 97-105
    • Nishimura, N.1    Yoshida, K.2    Kobayashi, S.3
  • 20
    • 0035302074 scopus 로고    scopus 로고
    • Application of new fast multipole boundary integral equation method to crack problems in 3D
    • K. Yoshida, N. Nishimura, and S. Kobayashi Application of new fast multipole boundary integral equation method to crack problems in 3D Eng Anal Boundary Elements 25 2001 239 247
    • (2001) Eng Anal Boundary Elements , vol.25 , pp. 239-247
    • Yoshida, K.1    Nishimura, N.2    Kobayashi, S.3
  • 22
    • 0036491037 scopus 로고    scopus 로고
    • BEM for simulation of a 2D elastic body with randomly distributed circular inclusions
    • F.Z. Kong, Z.H. Yao, and X.P. Zheng BEM for simulation of a 2D elastic body with randomly distributed circular inclusions Acta Mech Solida Sinica 15 1 2002 81 88
    • (2002) Acta Mech Solida Sinica , vol.15 , Issue.1 , pp. 81-88
    • Kong, F.Z.1    Yao, Z.H.2    Zheng, X.P.3
  • 23
    • 33846349887 scopus 로고
    • A hierarchical O(N log N) force calculation algorithm
    • J. Barnes, and P. Hut A hierarchical O(N log N) force calculation algorithm Nature 324 1986 446 449
    • (1986) Nature , vol.324 , pp. 446-449
    • Barnes, J.1    Hut, P.2
  • 24
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • L. Greengrad, and V. Rokhlin A fast algorithm for particle simulations J Comput Phys 73 1987 325 348
    • (1987) J Comput Phys , vol.73 , pp. 325-348
    • Greengrad, L.1    Rokhlin, V.2
  • 25
    • 2942609063 scopus 로고    scopus 로고
    • A multipole boundary element method for two dimensional elastostatics
    • Department of Mathematical Engineering and Information Physics, Faculty of Engineering, The University of Tokyo, METR
    • Yamada Y, Hayami K. A multipole boundary element method for two dimensional elastostatics. Technical Reports 1995, Department of Mathematical Engineering and Information Physics, Faculty of Engineering, The University of Tokyo, METR. 95-07: 1-20
    • Technical Reports 1995 , vol.95 , Issue.7 , pp. 1-20
    • Yamada, Y.1    Hayami, K.2
  • 26
    • 14744301688 scopus 로고    scopus 로고
    • A multipole boundary element method for two dimensional elastostatics
    • W. Hackbusch G. Wittum, Boundary elements: Implementation and analysis of dvanced algorithms
    • Y. Yamada, and K. Hayami A multipole boundary element method for two dimensional elastostatics W. Hackbusch G. Wittum Boundary elements: implementation and analysis of advanced algorithms Proceedings of the 12th GAMM-Seminar Kiel, notes in numerical fluid mechanics vol. 54A 1996 255 267
    • (1996) Proceedings of the 12th GAMM-Seminar Kiel, Notes in Numerical Fluid Mechanics , vol.54 , pp. 255-267
    • Yamada, Y.1    Hayami, K.2
  • 27
    • 0032136801 scopus 로고    scopus 로고
    • On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites
    • L. Greengard, and J. Helsing On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites J Mech Phys Solids 46 8 1998 1441 1462
    • (1998) J Mech Phys Solids , vol.46 , Issue.8 , pp. 1441-1462
    • Greengard, L.1    Helsing, J.2
  • 28
    • 0030140338 scopus 로고    scopus 로고
    • Integral equation methods for stocks flow and isotropic elasticity in the plane
    • L. Greengard, M.C. Kropinski, and A. Mayo Integral equation methods for stocks flow and isotropic elasticity in the plane J Comput Phys 125 2 1996 403 414
    • (1996) J Comput Phys , vol.125 , Issue.2 , pp. 403-414
    • Greengard, L.1    Kropinski, M.C.2    Mayo, A.3
  • 29
    • 0029479424 scopus 로고
    • A spectral multipole method for efficient solutions of large scale boundary element models in elastostatics
    • A.P. Peirce, and J.A.L. Napier A spectral multipole method for efficient solutions of large scale boundary element models in elastostatics Int J Numer Meth Eng 38 1995 4009 4034
    • (1995) Int J Numer Meth Eng , vol.38 , pp. 4009-4034
    • Peirce, A.P.1    Napier, J.A.L.2
  • 30
    • 0035094497 scopus 로고    scopus 로고
    • An O(N) Taylor series multipole boundary element method for three-dimensional elasticity problems
    • V. Popov, and H. Power An O(N) Taylor series multipole boundary element method for three-dimensional elasticity problems Eng Anal Boundary Elements 25 2001 7 18
    • (2001) Eng Anal Boundary Elements , vol.25 , pp. 7-18
    • Popov, V.1    Power, H.2
  • 31
    • 0035124335 scopus 로고    scopus 로고
    • Application of fast multipole Galerkin boundary integral equation method to crack problems in 3D
    • K. Yoshida, N. Nishimura, and S. Kobayashi Application of fast multipole Galerkin boundary integral equation method to crack problems in 3D Int J Numer Meth Eng 50 2001 525 547
    • (2001) Int J Numer Meth Eng , vol.50 , pp. 525-547
    • Yoshida, K.1    Nishimura, N.2    Kobayashi, S.3
  • 32
    • 0033295484 scopus 로고    scopus 로고
    • Fast and accurate numerical solution to an elastostatic problem involving ten thousand randomly oriented cracks
    • J. Helsing Fast and accurate numerical solution to an elastostatic problem involving ten thousand randomly oriented cracks Int J Fract 100 4 1999 321 327
    • (1999) Int J Fract , vol.100 , Issue.4 , pp. 321-327
    • Helsing, J.1
  • 33
    • 0042530122 scopus 로고    scopus 로고
    • Fast boundary element method for three-dimensional solids containing many cracks
    • Y.S. Lai, and G.J. Rodin Fast boundary element method for three-dimensional solids containing many cracks Eng Anal Boundary Elements 27 2003 845 852
    • (2003) Eng Anal Boundary Elements , vol.27 , pp. 845-852
    • Lai, Y.S.1    Rodin, G.J.2
  • 34
    • 0032203448 scopus 로고    scopus 로고
    • An improved fast multipole algorithm for potential fields
    • T. Hrycak, and V. Rokhlin An improved fast multipole algorithm for potential fields SIAM J Sci Comput 19 1998 1804 1826
    • (1998) SIAM J Sci Comput , vol.19 , pp. 1804-1826
    • Hrycak, T.1    Rokhlin, V.2
  • 35
    • 85011484616 scopus 로고    scopus 로고
    • A new version of the fast multipole method for the Laplace equation in three dimensions
    • L. Greengard, and V. Rokhlin A new version of the fast multipole method for the Laplace equation in three dimensions Acta Numer 6 1997 229 270
    • (1997) Acta Numer , vol.6 , pp. 229-270
    • Greengard, L.1    Rokhlin, V.2
  • 36
    • 0000362580 scopus 로고    scopus 로고
    • A fast adaptive multipole algorithm in three dimensions
    • H. Cheng, L. Greengard, and V. Rokhlin A fast adaptive multipole algorithm in three dimensions J Comput Phys 155 1999 468 498
    • (1999) J Comput Phys , vol.155 , pp. 468-498
    • Cheng, H.1    Greengard, L.2    Rokhlin, V.3
  • 38
    • 13244256065 scopus 로고    scopus 로고
    • Application of a new fast multipole BEM for simulation of 2D elastic solid with large number of inclusions
    • H.T. Wang, and Z.H. Yao Application of a new fast multipole BEM for simulation of 2D elastic solid with large number of inclusions Acta Mechanica Sinica 20 6 2004 613 622
    • (2004) Acta Mechanica Sinica , vol.20 , Issue.6 , pp. 613-622
    • Wang, H.T.1    Yao, Z.H.2
  • 39
    • 20744459469 scopus 로고    scopus 로고
    • A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model
    • in press
    • Liu YJ, Nishimura N, Otani Y, Takahashi T, Chen XL, Munakata H. A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model. ASME J Appl Mech; in press.
    • ASME J Appl Mech
    • Liu, Y.J.1    Nishimura, N.2    Otani, Y.3    Takahashi, T.4    Chen, X.L.5    Munakata, H.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.