메뉴 건너뛰기




Volumn 57, Issue 195, 1991, Pages 23-45

Convergence estimates for multigrid algorithms without regularity assumptions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84966255975     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1991-1079008-4     Document Type: Article
Times cited : (183)

References (22)
  • 2
    • 0022107998 scopus 로고
    • Sharp estimates for multigrid rates of convergence with general smoothing and acceleration, SIAM
    • R. E. Bank, and C. C. Douglas, Sharp estimates for multigrid rates of convergence with general smoothing and acceleration, SIAM J. Numer. Anal. 22 (1985), 617-633.
    • (1985) J. Numer. Anal , vol.22 , pp. 617-633
    • Bank, R.E.1    Douglas, C.C.2
  • 3
    • 84966225317 scopus 로고
    • An optimal order process for solving finite element equations
    • R. E. Bank and T. Dupont, An optimal order process for solving finite element equations, Math. Comp. 36 (1981), 35-51.
    • (1981) Math. Comp , vol.36 , pp. 35-51
    • Bank, R.E.1    Dupont, T.2
  • 4
    • 0000671861 scopus 로고
    • A new convergence proof for the multigrid method including the V-cycleS, IAM
    • D. Braess and W. Hackbusch, A new convergence proof for the multigrid method including the V-cycleS, IAM J. Numer. Anal. 20 (1983), 967-975.
    • (1983) J. Numer. Anal , vol.20 , pp. 967-975
    • Braess, D.1    Hackbusch, W.2
  • 5
    • 84966253230 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.
    • (1987) Math. Comp , vol.49 , pp. 311-329
    • Bramble, J.H.1    Pasciak, J.E.2
  • 7
    • 84966234078 scopus 로고
    • The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems
    • J. H. Bramble, J. E. Pasciak, and J. Xu, The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems, Math. Comp. 51 (1988), 389-414.
    • (1988) Math. Comp , vol.51 , pp. 389-414
    • Bramble, J.H.1    Pasciak, J.E.2    Xu, J.3
  • 8
    • 84966234195 scopus 로고
    • Parallel multilevel preconditioners
    • J. H. Bramble, J. E. Pasciak, and J. Xu, Parallel multilevel preconditioners, Math. Comp. 55(1990), 1-22.
    • (1990) Math. Comp , vol.55 , pp. 1-22
    • Bramble, J.H.1    Pasciak, J.E.2    Xu, J.3
  • 9
    • 84966232695 scopus 로고
    • The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms
    • J. H. Bramble, J. E. Pasciak, and J. Xu, The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms, Math. Comp. 56 (1991), 1-34.
    • (1991) Math. Comp , vol.56 , pp. 1-34
    • Bramble, J.H.1    Pasciak, J.E.2    Xu, J.3
  • 10
    • 84966231734 scopus 로고
    • Some estimates for a weighted L projection
    • J. H. Bramble and J. Xu, Some estimates for a weighted L projection, Math. Comp. 56 (1991), 463-476.
    • (1991) Math. Comp , vol.56 , pp. 463-476
    • Bramble, J.H.1    Xu, J.2
  • 11
    • 0001927250 scopus 로고
    • Algebraic multigrid theory: The symmetric case, Appl
    • A. Brandt, Algebraic multigrid theory: the symmetric case, Appl. Math. Comput. 19(1986), 23-56.
    • (1986) Math. Comput , vol.19 , pp. 23-56
    • Brandt, A.1
  • 12
    • 84966233568 scopus 로고
    • Multi-level adaptive solutions to boundary-value problems
    • A. Brandt, Multi-level adaptive solutions to boundary-value problems, Math. Comp. 31 (1977), 333-390.
    • (1977) Math. Comp , vol.31 , pp. 333-390
    • Brandt, A.1
  • 15
    • 38249034707 scopus 로고
    • A multigrid method for three-dimensional elasticity and algebraic convergence estimates, Appl
    • M. Kocvara and J. Mandel, A multigrid method for three-dimensional elasticity and algebraic convergence estimates, Appl. Math. Comput. 23 (1987), 121-135.
    • (1987) Math. Comput , vol.23 , pp. 121-135
    • Kocvara, M.1    Mandel, J.2
  • 16
    • 0343959849 scopus 로고
    • Algebraic formalization of the multigrid method in the symmetric and positive definite case a convergence estimation for the V-cycle
    • D. J. Paddon and H. Holstein, edsClarendon Press, Oxford
    • J. F. Maitre and F. Musy, Algebraic formalization of the multigrid method in the symmetric and positive definite case a convergence estimation for the V-cycle, Multigrid Methods for Integral and Differential Equations (D. J. Paddon and H. Holstein, eds.), Clarendon Press, Oxford, 1985.
    • (1985) Multigrid Methods for Integral and Differential Equations
    • Maitre, J.F.1    Musy, F.2
  • 17
    • 0040229571 scopus 로고
    • Étude algébrique d'une méthode multigrille pour quelques problèmes de frontière libre
    • J. Mandel, Étude algébrique d'une méthode multigrille pour quelques problèmes de frontière libre, C.R. Acad. Sei. Paris Sér. I. Math. 298 (1984), 469-472.
    • (1984) C.R. Acad. Sei. Paris Sér. I. Math , vol.298 , pp. 469-472
    • Mandel, J.1
  • 18
    • 38249038871 scopus 로고
    • Multigrid convergencef or nonsymmetric, indefinite variational problems and one smoothing step
    • Proa Copper Mtn. Conf. Multigrid Methods
    • J. Mandel, Multigrid convergencef or nonsymmetric, indefinite variational problems and one smoothing step, (Proa Copper Mtn. Conf. Multigrid Methods), Applied Math. Comput. 19 (1986), 201-216.
    • (1986) Applied Math. Comput , vol.19 , pp. 201-216
    • Mandel, J.1
  • 20
    • 84966238937 scopus 로고    scopus 로고
    • Iterative methods for solving finite element equations based on multilevel splitting of the matrix
    • Sofia, Bulgaria, (preprint)
    • P. Vassilevski, Iterative methods for solving finite element equations based on multilevel splitting of the matrix, Bulgarian Academy of Sciences, Sofia, Bulgaria, (preprint).
    • Bulgarian Academy of Sciences
    • Vassilevski, P.1
  • 21
    • 0039188959 scopus 로고
    • Convergence estimates for some multigrid algorithms, Proc. 1989 Houston Domain Decomp. Methods Conf. Third Internat. Sympos
    • (T. Chan, R. Glowinski, J. Periaux, and O. Widlund, eds.), SIAM, Philadelphia, PA
    • J. Xu, Convergence estimates for some multigrid algorithms, Proc. 1989 Houston Domain Decomp. Methods Conf. Third Internat. Sympos. Domain Decomposition Methods for Partial Differential Equations (T. Chan, R. Glowinski, J. Periaux, and O. Widlund, eds.), SIAM, Philadelphia, PA, 1990, pp. 174-187.
    • (1990) Domain Decomposition Methods for Partial Differential Equations , pp. 174-187
    • Xu, J.1
  • 22
    • 84966209955 scopus 로고
    • Theory of multilevel methods, Ph.D. Thesis, Cornell University and Penn State University
    • J. Xu, Theory of multilevel methods, Ph.D. Thesis, Cornell University and Penn State University, Dept. Math. Rep AM-48, 1989.
    • (1989) Dept. Math. Rep AM , vol.48
    • Xu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.