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Acta Mathematicae Applicatae Sinica
Volumn 15, Issue 2, 1999, Pages 132-143
A unified framework for the construction of various algebraic multilevel preconditioning methods
Author keywords

Finite element method; Multilevel method; Optimal order preconditioner; Polynomial acceleration
Indexed keywords

EID: 0006743875     PISSN: 01689673     EISSN: 16183932     Source Type: Journal    
DOI: 10.1007/bf02720488     Document Type: Article
Times cited : (3)
References (9)
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    • Algebraic Multilevel Preconditioning Methods I
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    • Axelsson, O.1    Vassilevski, P.S.2
  • 2
    • 0000523893 scopus 로고    scopus 로고
    • A Class of Hybrid Algebraic Multilevel Preconditioning Methods
    • Bai Zhongzhi. A Class of Hybrid Algebraic Multilevel Preconditioning Methods. Appl. Numer. Math., 1996, 19: 389-399
    • (1996) Appl. Numer. Math. , vol.19 , pp. 389-399
    • Zhongzhi, B.1
  • 3
    • 0042126829 scopus 로고    scopus 로고
    • A Class of New Hybrid Algebraic Multilevel Preconditioning Methods
    • Bai Zhonhzhi, Wang Deren. A Class of New Hybrid Algebraic Multilevel Preconditioning Methods. Linear Algebra Appl., 1997, 260: 223-255
    • (1997) Linear Algebra Appl. , vol.260 , pp. 223-255
    • Zhonhzhi, B.1    Deren, W.2
  • 4
    • 0001573921 scopus 로고
    • Algebraic Multilevel Preconditioning Methods II
    • O. Axelsson, P.S. Vassilevski. Algebraic Multilevel Preconditioning Methods II. SIAM J. Numer. Anal., 1990, 27: 1569-1590
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 1569-1590
    • Axelsson, O.1    Vassilevski, P.S.2
  • 5
    • 0040844602 scopus 로고
    • Asymptotic Work Estimates for AMLI Methods
    • O. Axelsson, P.S. Vassilevski. Asymptotic Work Estimates for AMLI Methods. Appl. Numer. Math., 1991, 7: 437-451
    • (1991) Appl. Numer. Math. , vol.7 , pp. 437-451
    • Axelsson, O.1    Vassilevski, P.S.2
  • 6
    • 0001547219 scopus 로고
    • Hybrid V-cycle Algebraic Multilevel Preconditioners
    • P.S. Vassilevski. Hybrid V-cycle Algebraic Multilevel Preconditioners. Math. Comp., 1992, 58: 489-512
    • (1992) Math. Comp. , vol.58 , pp. 489-512
    • Vassilevski, P.S.1
  • 7
    • 0000279499 scopus 로고
    • The Nested Recursive Two-level Factorization Method for Nine-point Difference Matrices
    • O. Axelsson, V. Eijkhout. The Nested Recursive Two-level Factorization Method for Nine-point Difference Matrices. SIAM J. Sci. Stat. Comp., 1991, 12: 1373-1400
    • (1991) SIAM J. Sci. Stat. Comp. , vol.12 , pp. 1373-1400
    • Axelsson, O.1    Eijkhout, V.2
  • 8
    • 84966225868 scopus 로고
    • Preconditioning and Two Level Multigrid Methods of Arbitrary Degree of Approximation
    • O. Axelsson and I. Gustafsson. Preconditioning and Two Level Multigrid Methods of Arbitrary Degree of Approximation. Math. Comp., 1983, 40: 219-242
    • (1983) Math. Comp. , vol.40 , pp. 219-242
    • Axelsson, O.1    Gustafsson, I.2
  • 9
    • 34250126304 scopus 로고
    • On the Multilevel Splitting of Finite Element Spaces
    • H. Yserentant. On the Multilevel Splitting of Finite Element Spaces. Numer. Math., 1986, 49: 379-412
    • (1986) Numer. Math. , vol.49 , pp. 379-412
    • Yserentant, H.1

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