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Volumn 39, Issue 1, 2002, Pages 264-285

Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids

Author keywords

Cartesian grids; Discontinuous Galerkin methods; Elliptic problems; Finite elements; Superconvergence

Indexed keywords


EID: 0035734429     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142900371544     Document Type: Article
Times cited : (268)

References (9)
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    • 0009954017 scopus 로고    scopus 로고
    • An optimal error estimate for the local discontinuous Galerkin method
    • B. Cockburn, G.E. Karniadakis, and C.-W. Shu, eds., Lect. Notes Comput. Sci. Eng., Springer-Verlag, Heidelberg
    • P. CASTILLO, An optimal error estimate for the local discontinuous Galerkin method, in Discontinuous Galerkin Methods: Theory, Computation and Applications, B. Cockburn, G.E. Karniadakis, and C.-W. Shu, eds., Lect. Notes Comput. Sci. Eng. 11, Springer-Verlag, Heidelberg, 2000, pp. 285-290.
    • (2000) Discontinuous Galerkin Methods: Theory, Computation and Applications , vol.11 , pp. 285-290
    • Castillo, P.1
  • 3
    • 0034548629 scopus 로고    scopus 로고
    • An a pnon error analysis of the local discontinuous Galerkin method for elliptic problems
    • P. CASTILLO, B. COCKBURN, I. PERUGIA, AND D. SCHÖTZAU, An a pnon error analysis of the local discontinuous Galerkin method for elliptic problems, SIAM J. Numer. Anal., 38 (2000), pp. 1676-1706.
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 1676-1706
    • Castillo, P.1    Cockburn, B.2    Perugia, I.3    Schötzau, D.4
  • 4
    • 0012262716 scopus 로고    scopus 로고
    • An optimal a priori error estimate for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems
    • to appear
    • P. CASTILLO, B. COCKBURN, D. SCHÖTZAU, AND C. SCHWAB, An optimal a priori error estimate for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems, Math. Comp., to appear.
    • Math. Comp.
    • Castillo, P.1    Cockburn, B.2    Schötzau, D.3    Schwab, C.4
  • 7
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous Galerkin method for time-dependent convection-diffusion systems
    • B. COCKBURN AND C.-W. SHU, The local discontinuous Galerkin method for time-dependent convection-diffusion systems, SIAM J. Numer. Anal., 35 (1998), pp. 2440-2463.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2440-2463
    • Cockburn, B.1    Shu, C.-W.2
  • 9
    • 0034437086 scopus 로고    scopus 로고
    • Time discretization of parabolic problems by the hp-version of the discontinuous Galerkin finite element method
    • D. SCHÖTZAU AND C. SCHWAB, Time discretization of parabolic problems by the hp-version of the discontinuous Galerkin finite element method, SIAM J. Numer. Anal., 38 (2000), pp. 837-875.
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 837-875
    • Schötzau, D.1    Schwab, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.