메뉴 건너뛰기




Volumn 39, Issue 6, 2007, Pages 681-691

An adaptive fast multipole boundary element method for three-dimensional potential problems

Author keywords

Boundary element method; Fast multipole method; Three dimensional potential problems

Indexed keywords

ADAPTIVE SYSTEMS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; PROBLEM SOLVING; TREES (MATHEMATICS);

EID: 33847255005     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-006-0046-9     Document Type: Article
Times cited : (76)

References (26)
  • 1
    • 0000048673 scopus 로고
    • A generalized minimal residual algorithm for solving nonsymmetric linear system
    • Saad Y, Schultz M (1986) A generalized minimal residual algorithm for solving nonsymmetric linear system. SIAM J Sci Stat Comput 7:856-869
    • (1986) SIAM J Sci Stat Comput , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.2
  • 2
    • 46549096170 scopus 로고
    • Rapid solution of integral equations of classical potential theory
    • Rokhlin V (1985) Rapid solution of integral equations of classical potential theory. J Comput Phys 60:187-207
    • (1985) J Comput Phys , vol.60 , pp. 187-207
    • Rokhlin, V.1
  • 3
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • Greengard LF, Rokhlin V (1987) A fast algorithm for particle simulations. J Comput Phys 73:325-348
    • (1987) J Comput Phys , vol.73 , pp. 325-348
    • Greengard, L.F.1    Rokhlin, V.2
  • 5
    • 10844230300 scopus 로고    scopus 로고
    • Thermal analysis of carbon-nanotube composites using a rigid-line inclusion model by the boundary integral equation method
    • Nishimura N, Liu YJ (2004) Thermal analysis of carbon-nanotube composites using a rigid-line inclusion model by the boundary integral equation method. Comput Mech 35:1-10
    • (2004) Comput Mech , vol.35 , pp. 1-10
    • Nishimura, N.1    Liu, Y.J.2
  • 6
    • 33847305486 scopus 로고    scopus 로고
    • The fast multipole boundary element method for potential problems - a tutorial
    • in press
    • Liu YJ, Nishimura N (2005) The fast multipole boundary element method for potential problems - a tutorial. Eng Anal Bound Elem (in press)
    • (2005) Eng Anal Bound Elem
    • Liu, Y.J.1    Nishimura, N.2
  • 7
    • 0038377193 scopus 로고    scopus 로고
    • Fast multipole accelerated boundary integral equation methods
    • Nishimura N (2002) Fast multipole accelerated boundary integral equation methods. Appl Mech Rev 55:299-324
    • (2002) Appl Mech Rev , vol.55 , pp. 299-324
    • Nishimura, N.1
  • 8
    • 0035302074 scopus 로고    scopus 로고
    • Application of new fast multipole boundary integral equation method to crack problems in 3D
    • Yoshida K, Nishimura N, Kobayashi S (2001) Application of new fast multipole boundary integral equation method to crack problems in 3D. Eng Anal Bound Elem 25:239-247
    • (2001) Eng Anal Bound Elem , vol.25 , pp. 239-247
    • Yoshida, K.1    Nishimura, N.2    Kobayashi, S.3
  • 9
    • 0035124335 scopus 로고    scopus 로고
    • Application of fast multipole Galerkin boundary integral equation method to crack problems in 3D
    • Yoshida K, Nishimura N, Kobayashi S (2001) Application of fast multipole Galerkin boundary integral equation method to crack problems in 3D. Int J Num Meth Eng 50:525-547
    • (2001) Int J Num Meth Eng , vol.50 , pp. 525-547
    • Yoshida, K.1    Nishimura, N.2    Kobayashi, S.3
  • 10
    • 33847288310 scopus 로고    scopus 로고
    • Yoshida K, Nishimura N, Kobayashi S (2001) Application of new fast multipole boundary integral equation method to elastostatic crack problems in three dimensions. JSCE J Struct Eng 47 A: 169-179
    • Yoshida K, Nishimura N, Kobayashi S (2001) Application of new fast multipole boundary integral equation method to elastostatic crack problems in three dimensions. JSCE J Struct Eng 47 A: 169-179
  • 11
    • 0032762829 scopus 로고    scopus 로고
    • A fast multipole boundary integral equation method for crack problems in 3D
    • Nishimura N, Yoshida K, Kobayashi S (1999) A fast multipole boundary integral equation method for crack problems in 3D. Eng Anal Bound Elem 23:97-105
    • (1999) Eng Anal Bound Elem , vol.23 , pp. 97-105
    • Nishimura, N.1    Yoshida, K.2    Kobayashi, S.3
  • 12
    • 0041528161 scopus 로고    scopus 로고
    • Fast integral equation solvers in computational electromagnetics of complex structures
    • Chew WC et al (2003) Fast integral equation solvers in computational electromagnetics of complex structures. Eng Anal Bound Elem 27:803-823
    • (2003) Eng Anal Bound Elem , vol.27 , pp. 803-823
    • Chew, W.C.1
  • 13
    • 19944386956 scopus 로고    scopus 로고
    • Large-scale modeling of carbon-nanotube composites by the boundary element method based on a rigid-inclusion model
    • Liu YJ, Nishimura N, Otani Y (2005) Large-scale modeling of carbon-nanotube composites by the boundary element method based on a rigid-inclusion model. Comput Mater Sci 34:173-187
    • (2005) Comput Mater Sci , vol.34 , pp. 173-187
    • Liu, Y.J.1    Nishimura, N.2    Otani, Y.3
  • 14
    • 14644415869 scopus 로고    scopus 로고
    • A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model
    • Liu YJ, Nishimura N, Otani Y et al (2005) A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model. J Appl Mech 72:115-128
    • (2005) J Appl Mech , vol.72 , pp. 115-128
    • Liu, Y.J.1    Nishimura, N.2    Otani, Y.3
  • 15
    • 0001922098 scopus 로고    scopus 로고
    • A short course on fast multipole methods
    • Ainsworth M et al eds, Oxford University Press, Oxford, pp
    • Beatson R, Greengard L (1996) A short course on fast multipole methods, In: Ainsworth M et al (eds) Wavelets, multilevel methods and elliptic PDEs. Oxford University Press, Oxford, pp 1-37
    • (1996) Wavelets, multilevel methods and elliptic PDEs , pp. 1-37
    • Beatson, R.1    Greengard, L.2
  • 16
    • 0346996418 scopus 로고    scopus 로고
    • Rotating around the quartic angular momentum barrier in fast multipole method calculations
    • White CA, Head-Gordon M (1996) Rotating around the quartic angular momentum barrier in fast multipole method calculations. J Chem Phys 105:5061-5067
    • (1996) J Chem Phys , vol.105 , pp. 5061-5067
    • White, C.A.1    Head-Gordon, M.2
  • 17
    • 85011484616 scopus 로고    scopus 로고
    • A new version of the fast multipole method for the Laplace equation in three dimensions
    • Greengard L, Rokhlin V (1997) A new version of the fast multipole method for the Laplace equation in three dimensions. Acta Num 6:229-269
    • (1997) Acta Num , vol.6 , pp. 229-269
    • Greengard, L.1    Rokhlin, V.2
  • 18
    • 13244257042 scopus 로고    scopus 로고
    • A new fast multipole boundary element method for large scale analysis of mechanical properties in 3D particle-reinforced composites
    • Wang H, Yao ZH (2005) A new fast multipole boundary element method for large scale analysis of mechanical properties in 3D particle-reinforced composites. Comput Model Eng Sci 7:85
    • (2005) Comput Model Eng Sci , vol.7 , pp. 85
    • Wang, H.1    Yao, Z.H.2
  • 19
    • 0000362580 scopus 로고    scopus 로고
    • A fast adaptive multipole algorithm in three dimensions
    • Cheng H, Greengard L, Rokhlin V (1999) A fast adaptive multipole algorithm in three dimensions. J Comput Phys 155:468-498
    • (1999) J Comput Phys , vol.155 , pp. 468-498
    • Cheng, H.1    Greengard, L.2    Rokhlin, V.3
  • 25
    • 20444435025 scopus 로고    scopus 로고
    • The hybrid boundary node method accelerated by fast multipole expansion technique for 3D potential problems
    • Zhang J, Tanaka M, Endo M (2005) The hybrid boundary node method accelerated by fast multipole expansion technique for 3D potential problems. Int J Num Meth Eng 63:660-680
    • (2005) Int J Num Meth Eng , vol.63 , pp. 660-680
    • Zhang, J.1    Tanaka, M.2    Endo, M.3
  • 26
    • 27744484668 scopus 로고    scopus 로고
    • A fast multipole accelerated method of fundamental solutions for potential problems
    • Liu YJ, Nishimura N, Yao ZH (2005) A fast multipole accelerated method of fundamental solutions for potential problems. Eng Anal Bound Elem 29:1016-1024
    • (2005) Eng Anal Bound Elem , vol.29 , pp. 1016-1024
    • Liu, Y.J.1    Nishimura, N.2    Yao, Z.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.