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Volumn 185, Issue 2, 2003, Pages 427-444

Essential imposition of Neumann condition in Galerkin-Legendre elliptic solvers

Author keywords

Diagonalization algorithm; Direct product structure; Fast elliptic spectral solver; Galerkin Legendre spectral method; Lifting of the nonhomogeneous Neumann datum; Neumann boundary condition; Poisson and Helmholtz equations; Separation of variables

Indexed keywords

BOUNDARY CONDITIONS; GALERKIN METHODS;

EID: 0037337789     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(02)00064-5     Document Type: Article
Times cited : (27)

References (12)
  • 2
    • 49249143705 scopus 로고
    • The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
    • D.B. Haidvogel, T.A. Zang, The accurate solution of Poisson's equation by expansion in Chebyshev polynomials, J. Comput. Phys. 30 (1979) 167-180.
    • (1979) J. Comput. Phys. , vol.30 , pp. 167-180
    • Haidvogel, D.B.1    Zang, T.A.2
  • 5
    • 0000567049 scopus 로고
    • Efficient spectral-Galerkin method. I. Direct solvers of second- and fourth-order equations using Legendre polynomials
    • J. Shen, Efficient spectral-Galerkin method. I. Direct solvers of second- and fourth-order equations using Legendre polynomials, SIAM J. Sci. Comput. 15 (1994) 1489-1505.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 1489-1505
    • Shen, J.1
  • 6
    • 0002543392 scopus 로고
    • Efficient spectral-Galerkin method. II. Direct solvers of second- and fourth-order equations using Chebyshev polynomials
    • J. Shen, Efficient spectral-Galerkin method. II. Direct solvers of second- and fourth-order equations using Chebyshev polynomials, SIAM J. Sci. Comput. 16 (1995) 74-87.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 74-87
    • Shen, J.1
  • 7
    • 0346838024 scopus 로고    scopus 로고
    • Galerkin spectral method for the vorticity and stream function equations
    • F. Auteri, L. Quartapelle, Galerkin spectral method for the vorticity and stream function equations, J. Comput. Phys. 149 (1999) 306-332.
    • (1999) J. Comput. Phys. , vol.149 , pp. 306-332
    • Auteri, F.1    Quartapelle, L.2
  • 8
    • 0000432625 scopus 로고    scopus 로고
    • Galerkin-Legendre spectral method for the 3D Helmholtz equation
    • F. Auteri, L. Quartapelle, Galerkin-Legendre spectral method for the 3D Helmholtz equation, J. Comput. Phys. 161 (2000) 454-483.
    • (2000) J. Comput. Phys. , vol.161 , pp. 454-483
    • Auteri, F.1    Quartapelle, L.2
  • 9
    • 0003513286 scopus 로고
    • Approximations spectrales des problèmes aux limites elliptiques
    • Springer, Paris
    • C. Bernardi, Y. Maday, Approximations spectrales des problèmes aux limites elliptiques, Springer, Paris, 1992.
    • (1992)
    • Bernardi, C.1    Maday, Y.2
  • 11
    • 0004088932 scopus 로고
    • Elliptic Problems in Nonsmooth Domains
    • Pitman, London
    • P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman, London, 1985.
    • (1985)
    • Grisvard, P.1
  • 12
    • 0002711788 scopus 로고    scopus 로고
    • Simulation of the differentially heated 8:1 rectangular cavity by a Galerkin-Legendre spectral projection method
    • K.J Bathe (Ed.), Elsevier, Amsterdam
    • F. Auteri, N. Parolini, Simulation of the differentially heated 8:1 rectangular cavity by a Galerkin-Legendre spectral projection method, in: K.J. Bathe (Ed.), Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, Elsevier, Amsterdam, 2001, pp. 1451-1455.
    • (2001) Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics , pp. 1451-1455
    • Auteri, F.1    Parolini, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.