메뉴 건너뛰기




Volumn 33, Issue 1, 2000, Pages 471-477

Finite element multigrid preconditioner for Chebyshev-collocation methods

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ITERATIVE METHODS; LINEAR SYSTEMS; NONLINEAR EQUATIONS; OPTIMIZATION; STIFFNESS MATRIX;

EID: 0034190393     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00114-2     Document Type: Article
Times cited : (22)

References (18)
  • 2
    • 0000359606 scopus 로고
    • Preconditioner minimal residual methods for Chebyshev spectral calculations
    • C. Canuto, A. Quarteroni, Preconditioner minimal residual methods for Chebyshev spectral calculations, J. Comput. Phys. 60 (1985) 315-337.
    • (1985) J. Comput. Phys. , vol.60 , pp. 315-337
    • Canuto, C.1    Quarteroni, A.2
  • 3
    • 0001194652 scopus 로고
    • Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning
    • M.O. Deville, E.H. Mund, Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning, J. Comput. Phys. 60 (1985) 517-533.
    • (1985) J. Comput. Phys. , vol.60 , pp. 517-533
    • Deville, M.O.1    Mund, E.H.2
  • 4
    • 0000464822 scopus 로고
    • Finite element preconditioning for pseudospectral solution of elliptic equations
    • M.O. Deville, E.H. Mund, Finite element preconditioning for pseudospectral solution of elliptic equations, SIAM J. Sci. Statist. Comput. 11 (1990) 311-342.
    • (1990) SIAM J. Sci. Statist. Comput. , vol.11 , pp. 311-342
    • Deville, M.O.1    Mund, E.H.2
  • 5
    • 0025449227 scopus 로고
    • On the spectrum of the iteration operator associated to the finite preconditioning of Chebyshev collocation calculations
    • C. Canuto, A. Quarteroni (Eds.), North-Holland
    • R. Francken, M.O. Deville, E.H. Mund, On the spectrum of the iteration operator associated to the finite preconditioning of Chebyshev collocation calculations, in: C. Canuto, A. Quarteroni (Eds.), Proceedings of Icosahom'89, North-Holland, 1990, pp. 295-304.
    • (1990) Proceedings of Icosahom'89 , pp. 295-304
    • Francken, R.1    Deville, M.O.2    Mund, E.H.3
  • 6
    • 0000556061 scopus 로고
    • The spectrum of the Chebyshev collocation operator for the heat equation
    • D. Gottlieb, L. Lustman, The spectrum of the Chebyshev collocation operator for the heat equation, SIAM J. Numer. Anal. 20 (1983) 909-921.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 909-921
    • Gottlieb, D.1    Lustman, L.2
  • 8
    • 0000954586 scopus 로고
    • Multi-grid convergence theory
    • W. Hackbusch, U. Trottenberg (Eds.), Springer-Verlag, Berlin
    • W. Hackbusch, Multi-grid convergence theory, in: W. Hackbusch, U. Trottenberg (Eds.), Multigrid Methods, Lecture Notes in Mathematics, Vol. 960, Springer-Verlag, Berlin, 1982, pp. 177-219.
    • (1982) Multigrid Methods, Lecture Notes in Mathematics , vol.960 , pp. 177-219
    • Hackbusch, W.1
  • 9
    • 0043054758 scopus 로고
    • Chebyshev 3-d spectral and 2-d pseudospectral solvers for the Helmholtz equation
    • P. Haldenwang, G. Labrosse, S. Abboudi, M. Deville, Chebyshev 3-d spectral and 2-d pseudospectral solvers for the Helmholtz equation, J. Comput. Phys. 55 (1984) 115-128.
    • (1984) J. Comput. Phys. , vol.55 , pp. 115-128
    • Haldenwang, P.1    Labrosse, G.2    Abboudi, S.3    Deville, M.4
  • 10
    • 0008482859 scopus 로고    scopus 로고
    • Preconditioning Chebyshev spectral collocation method for elliptic partial differential equations
    • S.D. Kim, S.V. Parter, Preconditioning Chebyshev spectral collocation method for elliptic partial differential equations, SIAM J. Numer. Anal. 33 (6) (1996) 2375-2400.
    • (1996) SIAM J. Numer. Anal. , vol.33 , Issue.6 , pp. 2375-2400
    • Kim, S.D.1    Parter, S.V.2
  • 11
    • 0008515049 scopus 로고    scopus 로고
    • Preconditioning Chebyshev spectral collocation by finite difference operators
    • S.D. Kim, S.V. Parter, Preconditioning Chebyshev spectral collocation by finite difference operators, SIAM J. Numer. Anal. 34 (3) (1997) 939-958.
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.3 , pp. 939-958
    • Kim, S.D.1    Parter, S.V.2
  • 12
    • 85013126603 scopus 로고
    • Spectral methods for complex geometries
    • S.A. Orszag, Spectral methods for complex geometries, J. Comput. Phys. 37 (1980) 70-92.
    • (1980) J. Comput. Phys. , vol.37 , pp. 70-92
    • Orszag, S.A.1
  • 13
    • 0000567049 scopus 로고
    • Efficient spectral-Galerkin method I. Direct solvers for second- and fourth-order equations by using legendre polynomials
    • J. Schen, Efficient spectral-Galerkin method I. Direct solvers for second- and fourth-order equations by using legendre polynomials, SIAM J. Sci. Comput. 15 (1994) 1489-1505.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 1489-1505
    • Schen, J.1
  • 14
    • 0002543392 scopus 로고
    • Efficient spectral-Galerkin method II. Direct solvers for second- and fourth-order equations by using Chebyshev polynomials
    • J. Shen, Efficient spectral-Galerkin method II. Direct solvers for second- and fourth-order equations by using Chebyshev polynomials, SIAM J. Sci. Comput. 16 (1995) 74-87.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 74-87
    • Shen, J.1
  • 15
    • 0002043336 scopus 로고    scopus 로고
    • Efficient Chebyshev-Legendre-Galerkin methods for elliptic problems
    • A.V Ilin, R. Scott (Eds.), Houston J. Math
    • J. Shen, Efficient Chebyshev-Legendre-Galerkin methods for elliptic problems, in: A.V Ilin, R. Scott (Eds.), Proceedings of Icosahom'95, Houston J. Math. (1996) pp. 233-240.
    • (1996) Proceedings of Icosahom'95 , pp. 233-240
    • Shen, J.1
  • 18
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • J. Xu, Iterative methods by space decomposition and subspace correction, SIAM Rev. 34 (1992) 581-613.
    • (1992) SIAM Rev. , vol.34 , pp. 581-613
    • Xu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.