메뉴 건너뛰기




Volumn 65, Issue 215, 1996, Pages 983-997

The frequency decomposition multilevel method: A robust additive hierarchical basis preconditioner

Author keywords

Additive Schwarz method; Finite elements; Frequency decomposition; Hierarchical basis; Multilevel method; Robustness; Semicoarsening; Subspace decomposition

Indexed keywords

DECOMPOSITION METHOD; ERROR ESTIMATION; GRID PATTERN; PRECONDITIONING; ROBUSTNESS;

EID: 0030361367     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-96-00740-5     Document Type: Article
Times cited : (6)

References (25)
  • 1
    • 84966253230 scopus 로고    scopus 로고
    • New convergence estimates for multigrid algorithms
    • J.H. Bramble and J.E. Pasciak, New convergence estimates for multigrid algorithms, Math. Comp. 49 (1987), 311-329. MR 89b:65234
    • (1987) Math. Comp. , vol.49 , pp. 311-329
    • Bramble, J.H.1    Pasciak, J.E.2
  • 2
    • 84966253230 scopus 로고    scopus 로고
    • J.H. Bramble and J.E. Pasciak, New convergence estimates for multigrid algorithms, Math. Comp. 49 (1987), 311-329. MR 89b:65234
    • MR , vol.89 B , pp. 65234
  • 4
    • 0042702587 scopus 로고    scopus 로고
    • W. Hackbusch, A new approach to robust multi-grid methods, ICIAM '87: Proceedings of the First International Conference on Industrial and Applied Mathematics (Philadelphia) (J. McKenna and R. Temam, eds.), SIAM, 1988. MR 90f:65193
    • MR , vol.90 F , pp. 65193
  • 5
    • 34249963996 scopus 로고    scopus 로고
    • The frequency decomposition multi-grid method I. Application to anisotropic equations
    • _, The frequency decomposition multi-grid method I. Application to anisotropic equations, Numer. Math. 56 (1989), 229-245. MR 90i:65212
    • (1989) Numer. Math. , vol.56 , pp. 229-245
  • 6
    • 34249963996 scopus 로고    scopus 로고
    • _, The frequency decomposition multi-grid method I. Application to anisotropic equations, Numer. Math. 56 (1989), 229-245. MR 90i:65212
    • MR , vol.90 I , pp. 65212
  • 8
    • 0039068179 scopus 로고    scopus 로고
    • _, Iterative lösung großer schwachbesetzter gleichungssysten e, B.G. Teubner, Stuttgart, 1991. MR 92i:65002
    • MR , vol.92 I , pp. 65002
  • 9
    • 21144473803 scopus 로고    scopus 로고
    • The frequency decomposition multi-grid method II. Convergence analysis based on the additive Schwarz method
    • _, The frequency decomposition multi-grid method II. Convergence analysis based on the additive Schwarz method, Numer. Math. 63 (1992), 433-453. MR 93j:65203
    • (1992) Numer. Math. , vol.63 , pp. 433-453
  • 10
    • 21144473803 scopus 로고    scopus 로고
    • _, The frequency decomposition multi-grid method II. Convergence analysis based on the additive Schwarz method, Numer. Math. 63 (1992), 433-453. MR 93j:65203
    • MR , vol.93 J , pp. 65203
  • 11
    • 0041590264 scopus 로고
    • The frequency decomposition multi-grid method
    • Multigrid Methods IV, (Basel) (P.W. Hemker and P. Wesseling, eds.), Birkhäuser
    • _, The frequency decomposition multi-grid method, Multigrid Methods IV, Proceedings of the Fourth European Multigrid Conference, Amsterdam, July 6-9, 1993 (Basel) (P.W. Hemker and P. Wesseling, eds.), Birkhäuser, 1994, pp. 43-56. MP, 95h:65095
    • (1994) Proceedings of the Fourth European Multigrid Conference, Amsterdam, July 6-9, 1993 , pp. 43-56
  • 12
    • 0041700823 scopus 로고    scopus 로고
    • _, The frequency decomposition multi-grid method, Multigrid Methods IV, Proceedings of the Fourth European Multigrid Conference, Amsterdam, July 6-9, 1993 (Basel) (P.W. Hemker and P. Wesseling, eds.), Birkhäuser, 1994, pp. 43-56. MP, 95h:65095
    • MP , vol.95 H , pp. 65095
  • 14
    • 0001233373 scopus 로고    scopus 로고
    • A new multigrid approach to convection problems
    • W. Mulder, A new multigrid approach to convection problems, J. Comp. Phys. 83 (1989), 303-323. MR 90f:76013
    • (1989) J. Comp. Phys. , vol.83 , pp. 303-323
    • Mulder, W.1
  • 15
    • 0001233373 scopus 로고    scopus 로고
    • W. Mulder, A new multigrid approach to convection problems, J. Comp. Phys. 83 (1989), 303-323. MR 90f:76013
    • MR , vol.90 F , pp. 76013
  • 16
    • 0027542359 scopus 로고    scopus 로고
    • The improved robustness of multigrid elliptic solvers based on multiple semicoarsened grids
    • N.H. Naik and J. Van Rosendale, The improved robustness of multigrid elliptic solvers based on multiple semicoarsened grids, SIAM J. Numer. Anal. 30 (1993), 215-229. MR 94b:65159
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 215-229
    • Naik, N.H.1    Van Rosendale, J.2
  • 17
    • 0027542359 scopus 로고    scopus 로고
    • N.H. Naik and J. Van Rosendale, The improved robustness of multigrid elliptic solvers based on multiple semicoarsened grids, SIAM J. Numer. Anal. 30 (1993), 215-229. MR 94b:65159
    • MR , vol.94 B , pp. 65159
  • 18
    • 84984018022 scopus 로고    scopus 로고
    • On the robustness of a multiple semi-coarsened grid method
    • C.W. Oosterlee and P. Wesseling, On the robustness of a multiple semi-coarsened grid method, ZAMM 75 (1995), no. 4, 251-257. CMP 95:12
    • (1995) ZAMM , vol.75 , Issue.4 , pp. 251-257
    • Oosterlee, C.W.1    Wesseling, P.2
  • 19
    • 84984018022 scopus 로고    scopus 로고
    • C.W. Oosterlee and P. Wesseling, On the robustness of a multiple semi-coarsened grid method, ZAMM 75 (1995), no. 4, 251-257. CMP 95:12
    • CMP , vol.95 , pp. 12
  • 20
    • 0029220909 scopus 로고    scopus 로고
    • Robustness of the additive and multiplicative frequency decomposition multilevel method
    • R.P. Stevenson, Robustness of the additive and multiplicative frequency decomposition multilevel method, Computing 54 (1995), 331-346. CMP 95:13
    • (1995) Computing , vol.54 , pp. 331-346
    • Stevenson, R.P.1
  • 21
    • 0029220909 scopus 로고    scopus 로고
    • R.P. Stevenson, Robustness of the additive and multiplicative frequency decomposition multilevel method, Computing 54 (1995), 331-346. CMP 95:13
    • CMP , vol.95 , pp. 13
  • 22
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • J. Xu, Iterative methods by space decomposition and subspace correction, SIAM Rev. 34 (1992), 581-613. MR 93k:65029
    • (1992) SIAM Rev. , vol.34 , pp. 581-613
    • Xu, J.1
  • 23
    • 0040846958 scopus 로고    scopus 로고
    • J. Xu, Iterative methods by space decomposition and subspace correction, SIAM Rev. 34 (1992), 581-613. MR 93k:65029
    • MR , vol.93 K , pp. 65029
  • 24
    • 84971922635 scopus 로고    scopus 로고
    • Old and new convergence proofs for multigrid methods
    • H. Yserentant, Old and new convergence proofs for multigrid methods, Acta Numerica (1993), 285-326. MR 94i:65128
    • (1993) Acta Numerica , pp. 285-326
    • Yserentant, H.1
  • 25
    • 84971922635 scopus 로고    scopus 로고
    • H. Yserentant, Old and new convergence proofs for multigrid methods, Acta Numerica (1993), 285-326. MR 94i:65128
    • MR , vol.94 I , pp. 65128


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.