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Volumn 89, Issue 1, 1998, Pages 135-153

An algebraic multilevel iteration method for finite element matrices

Author keywords

Algebraic multilevel iterative method; Generalized eigenvalue problem; Preconditioned conjugate gradient method

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; ITERATIVE METHODS; PROBLEM SOLVING;

EID: 0032498779     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00241-0     Document Type: Article
Times cited : (7)

References (11)
  • 1
    • 38149145454 scopus 로고
    • The method of diagonal compensation of reduced matrix entries and multilevel iteration
    • [1] O. Axelsson, The method of diagonal compensation of reduced matrix entries and multilevel iteration, J. Comput. Appl. Math. 38 (1991) 31-43.
    • (1991) J. Comput. Appl. Math. , vol.38 , pp. 31-43
    • Axelsson, O.1
  • 2
    • 0000279499 scopus 로고
    • The nested recursive two-level factorization method for nine-point difference matrices
    • [2] O. Axelsson, V. Eijkhout, The nested recursive two-level factorization method for nine-point difference matrices, SIAM J. Sci. Statist. Comput. 12 (1991) 1373-1400.
    • (1991) SIAM J. Sci. Statist. Comput. , vol.12 , pp. 1373-1400
    • Axelsson, O.1    Eijkhout, V.2
  • 3
    • 84985315720 scopus 로고
    • Diagonally compensated reduction and related preconditioning methods
    • Report 9117, Catholic University, Nijmegen, Netherlands, 1991
    • [3] O. Axelsson, L. Kolotilina, Diagonally compensated reduction and related preconditioning methods, Report 9117, Catholic University, Nijmegen, Netherlands, 1991; appeared later in: Numer. Linear Algebra Appl. 1 (1994) 155-178.
    • (1994) Numer. Linear Algebra Appl. , vol.1 , pp. 155-178
    • Axelsson, O.1    Kolotilina, L.2
  • 4
    • 84985315236 scopus 로고
    • Algebraic multilevel iteration method for Stieltjes matrices
    • [4] O. Axelsson, M. Neytcheva, Algebraic multilevel iteration method for Stieltjes matrices, Numer. Linear Algebra Appl. 1 (1994) 213-236.
    • (1994) Numer. Linear Algebra Appl. , vol.1 , pp. 213-236
    • Axelsson, O.1    Neytcheva, M.2
  • 5
    • 0000779223 scopus 로고
    • Algebraic multilevel preconditioning methods I
    • [5] O. Axelsson, P.S. Vassilevski, Algebraic multilevel preconditioning methods I, Numer. Math. 56 (1989) 157-177.
    • (1989) Numer. Math. , vol.56 , pp. 157-177
    • Axelsson, O.1    Vassilevski, P.S.2
  • 6
    • 0001573921 scopus 로고
    • Algebraic multilevel preconditioning methods II
    • [6] O. Axelsson, P.S. Vassilevski, Algebraic multilevel preconditioning methods II, SIAM J. Numer. Anal. 27 (1990) 1509-1590.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 1509-1590
    • Axelsson, O.1    Vassilevski, P.S.2
  • 7
    • 0001089735 scopus 로고
    • An incomplete factorization preconditioning using repeated red black ordering
    • [7] C.W. Brand, An incomplete factorization preconditioning using repeated red black ordering, Numer. Math. 61 (1990) 433-454.
    • (1990) Numer. Math. , vol.61 , pp. 433-454
    • Brand, C.W.1
  • 9
    • 0026263239 scopus 로고
    • Algebraic multigrid substrucluring preconditioned on triangular grids
    • [9] Yu.R. Hakopian, Yu.A. Kuznetsov, Algebraic multigrid substrucluring preconditioned on triangular grids. Sov. J. Numer. Anal. Math. Modelling 6 (1989) 453-483.
    • (1989) Sov. J. Numer. Anal. Math. Modelling , vol.6 , pp. 453-483
    • Hakopian, Yu.R.1    Kuznetsov, Yu.A.2
  • 10
    • 0024878671 scopus 로고
    • Algebraic multigrid domain decomposition methods
    • [10] Yu.A. Kuznetsov, Algebraic Multigrid Domain Decomposition Methods, Sov. J. Numer. Anal. Math. Modelling 4 (1989) 351-380.
    • (1989) Sov. J. Numer. Anal. Math. Modelling , vol.4 , pp. 351-380
    • Kuznetsov, Yu.A.1
  • 11
    • 0001547219 scopus 로고
    • Hybrid V-cycle algebraic multilevel preconditioners
    • [11] P.S. Vassilevski, Hybrid V-cycle algebraic multilevel preconditioners, Math. Comput. 58 (1992) 489-512.
    • (1992) Math. Comput. , vol.58 , pp. 489-512
    • Vassilevski, P.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.