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Volumn 4, Issue 5, 1997, Pages 393-423

Block SSOR Preconditionings for High-Order 3D FE Systems. III: Incomplete BSSOR Preconditionings Based on p-Partitionings

Author keywords

3D equilibrium equations; Hierarchical high order FE approximations; IBSSOR preconditionings; Large SPD linear systems; p partitionings

Indexed keywords


EID: 0031487925     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(199709/10)4:5<393::AID-NLA114>3.0.CO;2-R     Document Type: Article
Times cited : (3)

References (12)
  • 1
    • 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. Comput. 40, 219-242, 1983.
    • (1983) Math. Comput. , vol.40 , pp. 219-242
    • Axelsson, O.1    Gustafsson, I.2
  • 2
    • 84985315720 scopus 로고
    • Diagonally compensated reduction and related preconditioning methods
    • O. Axelsson and L. Yu. Kolotilina. Diagonally compensated reduction and related preconditioning methods. Numer. Linear Algebra with Appl., 1(2), 155-177, 1994.
    • (1994) Numer. Linear Algebra with Appl. , vol.1 , Issue.2 , pp. 155-177
    • Axelsson, O.1    Kolotilina, L.Yu.2
  • 3
    • 21844508438 scopus 로고
    • On eigenvalue estimates for block incomplete factorization methods
    • O. Axelsson and H. Lu. On eigenvalue estimates for block incomplete factorization methods. SIAM J. Matrix Anal. Appl., 16, 1074-1085, 1995.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 1074-1085
    • Axelsson, O.1    Lu, H.2
  • 4
    • 0001810214 scopus 로고
    • The conjugate gradient method for linear and nonlinear operator equations
    • Ph.D. thesis, Stanford Univ.
    • J. W. Daniel. The conjugate gradient method for linear and nonlinear operator equations. Ph.D. thesis, Stanford Univ., SIAM J. Numer. Anal., 4, 10-26, 1967.
    • (1967) SIAM J. Numer. Anal. , vol.4 , pp. 10-26
    • Daniel, J.W.1
  • 6
    • 0001253456 scopus 로고
    • A comparison of domain decomposition techniques for elliptic partial differential equations and their parallel implementation
    • D. E. Keyes and W. D. Gropp. A comparison of domain decomposition techniques for elliptic partial differential equations and their parallel implementation. SIAM J. Sci. Stat. Comput., 8, 166-201, 1987.
    • (1987) SIAM J. Sci. Stat. Comput. , vol.8 , pp. 166-201
    • Keyes, D.E.1    Gropp, W.D.2
  • 7
    • 0041750799 scopus 로고
    • Eigenvalue bounds for block preconditioned matrices
    • Engl. translation to appear in J. of Math. Sci.
    • L. Yu. Kolotilina. Eigenvalue bounds for block preconditioned matrices. Zap. Nauchn. Semin. POMI, 219, 5-41, 1994. (Engl. translation to appear in J. of Math. Sci.)
    • (1994) Zap. Nauchn. Semin. POMI , vol.219 , pp. 5-41
    • Kolotilina, L.Yu.1
  • 8
    • 0345890601 scopus 로고
    • Block SSOR preconditionings for high-order 3D FE systems. Incomplete BSSOR preconditionings
    • L. Yu. Kolotilina, I.E. Kaporin and A.Yu. Yeremin. Block SSOR preconditionings for high-order 3D FE systems. Incomplete BSSOR preconditionings. Linear Algebra Appl., 154-156, 647-674, 1991.
    • (1991) Linear Algebra Appl. , vol.154-156 , pp. 647-674
    • Kolotilina, L.Yu.1    Kaporin, I.E.2    Yeremin, A.Yu.3
  • 9
    • 0642375971 scopus 로고
    • Block SSOR preconditionings for high order 3D FE systems
    • L. Yu. Kolotilina and A.Yu. Yeremin. Block SSOR preconditionings for high order 3D FE systems. BIT, 29, 805-823, 1989.
    • (1989) BIT , vol.29 , pp. 805-823
    • Kolotilina, L.Yu.1    Yeremin, A.Yu.2
  • 10
    • 0028447775 scopus 로고
    • An iterative solver for p-version finite elements in three dimensions
    • J. Mandel. An iterative solver for p-version finite elements in three dimensions. Comput. Methods Appl. Mech. Engrg., 116, 175-183, 1994.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.116 , pp. 175-183
    • Mandel, J.1
  • 11
    • 84966241510 scopus 로고
    • An incomplete factorization technique for positive definite linear systems
    • T. A. Manteuffel. An incomplete factorization technique for positive definite linear systems. Math. Comput., 34, 473-497, 1980.
    • (1980) Math. Comput. , vol.34 , pp. 473-497
    • Manteuffel, T.A.1
  • 12
    • 0012189842 scopus 로고
    • Regular incomplete factorizations of real positive definite matrices
    • Y. Robert. Regular incomplete factorizations of real positive definite matrices. Linear Algebra Appl., 48, 105-117, 1982.
    • (1982) Linear Algebra Appl. , vol.48 , pp. 105-117
    • Robert, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.