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Volumn 16, Issue 2, 2006, Pages 69-82

Distributed finite element normalized approximate inverse preconditioning

Author keywords

Distributed computations; Finite element method; Normalized approximate factorization procedures; Normalized approximate inverses; Parallel computations; Parallel preconditioned conjugate gradient methods; Preconditioning; Sparse linear systems

Indexed keywords

DISTRIBUTED COMPUTER SYSTEMS; LINEAR SYSTEMS; MATRIX ALGEBRA; OPTIMIZATION; PARALLEL PROCESSING SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 33846416215     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (18)
  • 2
    • 0036867930 scopus 로고    scopus 로고
    • Preconditioning techniques for large linear systems: A survey
    • Benzi, M. (2002): Preconditioning techniques for large linear systems: A survey. Journal of Computational Physics, vol. 182, pp. 418-477.
    • (2002) Journal of Computational Physics , vol.182 , pp. 418-477
    • Benzi, M.1
  • 3
    • 0004675411 scopus 로고    scopus 로고
    • A sparse approximate inverse preconditioner for the conjugate gradient method
    • Benzi, M.; Meyer, C.; Tuma, M. (1996): A sparse approximate inverse preconditioner for the conjugate gradient method. SIAM J. Sci. Comput., vol. 17, pp. 1135-1149.
    • (1996) SIAM J. Sci. Comput , vol.17 , pp. 1135-1149
    • Benzi, M.1    Meyer, C.2    Tuma, M.3
  • 5
    • 0013255139 scopus 로고    scopus 로고
    • Parallel matrix techniques
    • Papailiou, K, Tsahalis, D, Periaux, J, Hirsch, C, Pandolfi, M.Eds, Wiley
    • Gravvanis, G. (1998): Parallel matrix techniques. In Papailiou, K.; Tsahalis, D.; Periaux, J.; Hirsch, C.; Pandolfi, M.(Eds): Computational Fluid Dynamics, volume I, pp. 472-477. Wiley.
    • (1998) Computational Fluid Dynamics , vol.1 , pp. 472-477
    • Gravvanis, G.1
  • 6
    • 0036989839 scopus 로고    scopus 로고
    • Explicit Approximate Inverse Preconditioning Techniques
    • Gravvanis, G. (2002): Explicit Approximate Inverse Preconditioning Techniques. Archives of Computational Methods in Engineering, vol. 9(4), pp. 371-402.
    • (2002) Archives of Computational Methods in Engineering , vol.9 , Issue.4 , pp. 371-402
    • Gravvanis, G.1
  • 8
    • 4444228817 scopus 로고    scopus 로고
    • On the rate of convergence and computational complexity of normalized implicit preconditioning for solving finite difference equations in three space variables
    • Gravvanis, G.; Giannoutakis, K. (2004): On the rate of convergence and computational complexity of normalized implicit preconditioning for solving finite difference equations in three space variables. I. J. of Computational Methods, vol. 1(2), pp. 367-386.
    • (2004) I. J. of Computational Methods , vol.1 , Issue.2 , pp. 367-386
    • Gravvanis, G.1    Giannoutakis, K.2
  • 9
    • 33645243630 scopus 로고    scopus 로고
    • Normalized implicit preconditioned methods based on normalized finite element approximate factorization procedures
    • K.J.BatheEd, Elsevier
    • Gravvanis, G.; Giannoutakis, K. (2005): Normalized implicit preconditioned methods based on normalized finite element approximate factorization procedures. In K.J.Bathe(Ed): Computational Fluid and Solid Mechanics 2005, volume 2, pp. 1115-1119. Elsevier.
    • (2005) Computational Fluid and Solid Mechanics 2005 , vol.2 , pp. 1115-1119
    • Gravvanis, G.1    Giannoutakis, K.2
  • 11
    • 0031129197 scopus 로고    scopus 로고
    • Parallel preconditioning with sparse approximate inverses
    • Grote, M.; Huckle, T. (1997): Parallel preconditioning with sparse approximate inverses. SIAM J. Sci. Comput., vol. 18, pp. 838-853.
    • (1997) SIAM J. Sci. Comput , vol.18 , pp. 838-853
    • Grote, M.1    Huckle, T.2
  • 12
    • 0033149565 scopus 로고    scopus 로고
    • Approximate sparsity patterns for the inverse of a matrix and preconditioning
    • Huckle, T. (1999): Approximate sparsity patterns for the inverse of a matrix and preconditioning. Applied Numerical Mathematics, vol. 30, pp. 291-303.
    • (1999) Applied Numerical Mathematics , vol.30 , pp. 291-303
    • Huckle, T.1
  • 13
    • 0021408223 scopus 로고
    • Solving linear finite element systems by normalized approximate matrix factorization semi-direct methods
    • Lipitakis, E.; Evans, D. (1984): Solving linear finite element systems by normalized approximate matrix factorization semi-direct methods. Computer Methods in Applied Mechanics & Engineering, vol. 43, pp. 1-19.
    • (1984) Computer Methods in Applied Mechanics & Engineering , vol.43 , pp. 1-19
    • Lipitakis, E.1    Evans, D.2
  • 17
    • 0039179703 scopus 로고    scopus 로고
    • Iterative solution of linear systems in the 20th century
    • Saad, Y.; van der Vorst, H. (2000): Iterative solution of linear systems in the 20th century. J. Comp. Applied Math, Vol. 123, pp. 1-33.
    • (2000) J. Comp. Applied Math , vol.123 , pp. 1-33
    • Saad, Y.1    van der Vorst, H.2
  • 18
    • 0002716985 scopus 로고
    • High performance preconditioning
    • van der Vorst, H. (1989): High performance preconditioning. SIAM J. Sci. Stat. Comput., vol. 10, pp. 1174-1185.
    • (1989) SIAM J. Sci. Stat. Comput , vol.10 , pp. 1174-1185
    • van der Vorst, H.1


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