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Volumn , Issue , 2001, Pages

Eigensolution analysis of the discontinuous galerkin method with non-uniform grids

Author keywords

[No Author keywords available]

Indexed keywords

DISCONTINUOUS GALERKIN METHODS; DISCONTINUOUS GALERKIN SCHEMES; LINEAR HYPERBOLIC EQUATION; NON-UNIFORM GRIDS; NUMERICAL DISPERSION RELATION; NUMERICAL IMPLEMENTATION; PARTIAL DIFFERENTIAL EQUATIONS (PDE); REFLECTION AND TRANSMISSION COEFFICIENTS;

EID: 84896814289     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (1)

References (22)
  • 1
    • 0029289813 scopus 로고
    • High-order finite element methods for singularly perturbed elliptic and parabolic problems
    • S. Adjerid, M. Aiffa and J. E. Flaherty, High-order finite element methods for singularly perturbed elliptic and parabolic problems, SIAM J. Applied Math., Vol. 55 (2), 520-543, 1995.
    • (1995) SIAM J. Applied Math , vol.55 , Issue.2 , pp. 520-543
    • Adjerid, S.1    Aiffa, M.2    Flaherty, J.E.3
  • 2
    • 0000653923 scopus 로고    scopus 로고
    • Quadrature-free implementation of discontinuous Galerkin methods for hyperbolic equations
    • H. Atkins and C. -W. Shu, Quadrature-free implementation of discontinuous Galerkin methods for hyperbolic equations, AIAA Journal, Vol. 36, 775-782, 1998.
    • (1998) AIAA Journal , vol.36 , pp. 775-782
    • Atkins, H.1    Shu C., -W.2
  • 3
    • 0001416032 scopus 로고    scopus 로고
    • A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
    • F. Bassi and S. Rebay, A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations, Journal of Computational Physics, Vol. 131, 267-279, 1997.
    • (1997) Journal of Computational Physics , vol.131 , pp. 267-279
    • Bassi, F.1    Rebay, S.2
  • 4
    • 0028407037 scopus 로고
    • Parallel, adaptive finite element methods for conservation laws
    • R. Biswas, K. D. Devine and J. E. Flaherty, Parallel, adaptive finite element methods for conservation laws, Applied Numerical Math., Vol. 14, 255-283, 1994.
    • (1994) Applied Numerical Math , vol.14 , pp. 255-283
    • Biswas, R.1    Devine, K.D.2    Flaherty, J.E.3
  • 7
    • 0001690553 scopus 로고    scopus 로고
    • The Runge-Kutta discontinuous Galerkin method for the conservation Laws V
    • B. Cockburn and C.-W. Shu, The Runge-Kutta discontinuous Galerkin method for the conservation Laws V, Journal of Computational Physics, Vol. 141, 199-224, 1998.
    • (1998) Journal of Computational Physics , vol.141 , pp. 199-224
    • Cockburn, B.1    Shu, C.-W.2
  • 8
    • 84896854906 scopus 로고    scopus 로고
    • Eigensolution analysis of the discontinuous Galerkin method with non-uniform grids in one dimensional space
    • to be submitted to
    • F. Q. Hu and H. L. Atkins, Eigensolution analysis of the discontinuous Galerkin method with non-uniform grids in one dimensional space, to be submitted to Journal of Computational Physics.
    • Journal of Computational Physics
    • Hu, F.Q.1    Atkins, H.L.2
  • 9
    • 0000458188 scopus 로고    scopus 로고
    • An analysis of the discontinuous Galerkin method for wave propagation problems
    • F. Q. Hu, M. Y. Hussaini and P. Rasetarinera, An analysis of the discontinuous Galerkin method for wave propagation problems, Journal of Computational Physics, Vol. 151, 921-946, 1999.
    • (1999) Journal of Computational Physics , vol.151 , pp. 921-946
    • Hu, F.Q.1    Hussaini, M.Y.2    Rasetarinera, P.3
  • 10
    • 0344006664 scopus 로고    scopus 로고
    • Low dissipation and low dispersion Runge-Kutta schemes for computational acoustics
    • F. Q. Hu, M. Y. Hussaini and J. L. Manthey, Low dissipation and low dispersion Runge-Kutta schemes for computational acoustics, Journal of Computational Physics, Vol. 124, 177-191, 1996.
    • (1996) Journal of Computational Physics , vol.124 , pp. 177-191
    • Hu, F.Q.1    Hussaini, M.Y.2    Manthey, J.L.3
  • 11
    • 0001299857 scopus 로고    scopus 로고
    • Finite element solution of the Helmholtz equation with high wave number part II: The h-p version of the FEM
    • F. Ihlenburg and I. Babuska, Finite element solution of the Helmholtz equation with high wave number part II: the h-p version of the FEM, SIAM J. Numer. Anal., Vol. 34 (1), 315-358, 1997.
    • (1997) SIAM J. Numer. Anal , vol.34 , Issue.1 , pp. 315-358
    • Ihlenburg, F.1    Babuska, I.2
  • 12
    • 0012187269 scopus 로고
    • Convergence of a fully discrete scheme for two-dimensional neutron transport
    • C. Johnson and J. Pitkaranta, Convergence of a fully discrete scheme for two-dimensional neutron transport, SIAM J. Numer. Anal., Vol. 20, 951-966, 1983.
    • (1983) SIAM J. Numer. Anal , vol.20 , pp. 951-966
    • Johnson, C.1    Pitkaranta, J.2
  • 17
    • 0026106576 scopus 로고
    • A note on the convergence of the discontinuous Galerkin method for a scalar hyperbolic equation
    • T. E. Peterson, A note on the convergence of the discontinuous Galerkin method for a scalar hyperbolic equation, SIAM J. Numer. Anal., Vol. 38, No. 1, 133-140, 1991.
    • (1991) SIAM J. Numer. Anal , vol.38 , Issue.1 , pp. 133-140
    • Peterson, T.E.1
  • 19
    • 84966227504 scopus 로고
    • An optimal-order error estimate for the discontinuous Galerkin method
    • G. R. Ritcher, An optimal-order error estimate for the discontinuous Galerkin method, Mathematics of Computation, Vol. 50, 75-88, 1988.
    • (1988) Mathematics of Computation , vol.50 , pp. 75-88
    • Ritcher, G.R.1
  • 21
    • 0028196254 scopus 로고
    • Complex wavenumber Fourier analysis of the p-version finite element method
    • L. L. Thompson and P. M. Pinsky, Complex wavenumber Fourier analysis of the p-version finite element method, Computational Mechanics, Vol. 13, 255-275, 1994.
    • (1994) Computational Mechanics , vol.13 , pp. 255-275
    • Thompson, L.L.1    Pinsky, P.M.2
  • 22
    • 0142160893 scopus 로고    scopus 로고
    • A discontinuous Galerkin method for the viscous MHD equations
    • T. Warburton and G. E. Karniadakis, A discontinuous Galerkin method for the viscous MHD equations, Journal of computational Physics, Vol. 152, 608-641, 1999.
    • (1999) Journal of Computational Physics , vol.152 , pp. 608-641
    • Warburton, T.1    Karniadakis, G.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.