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Volumn 14, Issue 1, 2006, Pages 41-56

Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems

Author keywords

Discontinuous Galerkin; Singularly perturbed problems

Indexed keywords

DISCONTINUOUS GALERKIN; SINGULARLY PERTURBED PROBLEMS;

EID: 33744494816     PISSN: 15702820     EISSN: None     Source Type: Journal    
DOI: 10.1163/156939506776382157     Document Type: Article
Times cited : (39)

References (11)
  • 1
    • 0036410391 scopus 로고    scopus 로고
    • Unified analysis of discontinuous Galerkin methods for elliptic problems
    • D. N. Arnold, F. Brezzi, B.Cockburn, and L. D. Marini, Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. (2002) 39, 1749-1779.
    • (2002) SIAM J. Numer. Anal. , vol.39 , pp. 1749-1779
    • Arnold, D.N.1    Brezzi, F.2    Cockburn, B.3    Marini, L.D.4
  • 2
    • 0345060037 scopus 로고    scopus 로고
    • A multilevel discontinuous Galerkin method
    • J. Gopalakrishnan and G. Kanschat, A multilevel discontinuous Galerkin method. Numer. Math. (2003) 95, 527-550.
    • (2003) Numer. Math. , vol.95 , pp. 527-550
    • Gopalakrishnan, J.1    Kanschat, G.2
  • 3
    • 33744494900 scopus 로고
    • A multidimensional upwind scheme with no crosswind diffusion
    • (Eds. 0. Axelsson, L. S. Frank, and A. van der Sluis), North-Holland, Amsterdam
    • T. J. R. Hughes and A. N. Brooks, A multidimensional upwind scheme with no crosswind diffusion. In: Analytical and Numerical Approaches to Asymptotic Problems in Analysis (Eds. 0. Axelsson, L. S. Frank, and A. van der Sluis), North-Holland, Amsterdam, 1981, pp. 99 -116.
    • (1981) Analytical and Numerical Approaches to Asymptotic Problems in Analysis , pp. 99-116
    • Hughes, T.J.R.1    Brooks, A.N.2
  • 5
    • 84966238599 scopus 로고
    • An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation
    • C. Johnson and J. Pitkäranta, An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation. Math. Comp. (1986) 46, 1-26.
    • (1986) Math. Comp. , vol.46 , pp. 1-26
    • Johnson, C.1    Pitkäranta, J.2
  • 6
    • 84966258545 scopus 로고
    • Crosswind smear and pointwise error estimates in streamline diffusion finite element methods
    • C. Johnson, A. H. Schatz, and L. B. Wahlbin, Crosswind smear and pointwise error estimates in streamline diffusion finite element methods. Math. Comp. (1987) 49, 25-38.
    • (1987) Math. Comp. , vol.49 , pp. 25-38
    • Johnson, C.1    Schatz, A.H.2    Wahlbin, L.B.3
  • 8
    • 0001546173 scopus 로고
    • Pointwise error estimates for the streamline diffusion finite element scheme
    • K. Niijima, Pointwise error estimates for the streamline diffusion finite element scheme. Numer. Math. (1990) 56, 707-719.
    • (1990) Numer. Math. , vol.56 , pp. 707-719
    • Niijima, K.1
  • 9
    • 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. (1991) 28, 133-140.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 133-140
    • Peterson, T.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.