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Volumn 12, Issue 1, 1996, Pages 123-145

Pointwise Superconvergence of the Streamline Diffusion Finite-Element Method

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EID: 0000243677     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2426(199601)12:1<123::AID-NUM7>3.0.CO;2-U     Document Type: Article
Times cited : (31)

References (14)
  • 1
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    • Eckhaus, W.1
  • 3
    • 0001235787 scopus 로고
    • Numerical method for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
    • J. Douglas, Jr. and T. Russel, "Numerical method for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures," SIAM J. Numer. Anal. 19, 871 (1982).
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 871
    • Douglas Jr., J.1    Russel, T.2
  • 4
    • 0022681271 scopus 로고
    • A new finite element formulation for computational fluid dynamics: II. Beyond SUPG
    • T. J. R. Hughes, M. Mallet, and A. Mizukami, "A new finite element formulation for computational fluid dynamics: II. Beyond SUPG," Comput. Methods Appl. Mech. Engrg. 54, 341 (1986).
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.54 , pp. 341
    • Hughes, T.J.R.1    Mallet, M.2    Mizukami, A.3
  • 6
    • 84966258545 scopus 로고
    • Crosswind smear ad pointwise errors in streamline diffusion finite element methods
    • C. Johnson, A. H. Schatz, and L. B. Wahlbin, "Crosswind smear ad pointwise errors in streamline diffusion finite element methods," Math. Comp. 49, 25 (1987).
    • (1987) Math. Comp. , vol.49 , pp. 25
    • Johnson, C.1    Schatz, A.H.2    Wahlbin, L.B.3
  • 7
    • 0001546173 scopus 로고
    • Pointwise error estimates for a streamline diffusion finite element scheme
    • K. Niijima, "Pointwise error estimates for a streamline diffusion finite element scheme," Numer. Math. 56, 707 (1990).
    • (1990) Numer. Math. , vol.56 , pp. 707
    • Niijima, K.1
  • 8
    • 70350504045 scopus 로고
    • Local behavior in finite element methods
    • P. G. Ciarlet and L. J. Lions, Eds., North-Holland, Amsterdam
    • L. B. Wahlbin, "Local behavior in finite element methods," in Handbook of Numerical Analysis, P. G. Ciarlet and L. J. Lions, Eds., North-Holland, Amsterdam, 1991.
    • (1991) Handbook of Numerical Analysis
    • Wahlbin, L.B.1
  • 9
    • 0012217145 scopus 로고
    • A rectangle test for finite element analysis
    • Great Wall (H.K.) Culture Publish Co., Hong Kong
    • Q. Lin, "A rectangle test for finite element analysis," Proc. Of Systems Science & Systems Engineering, Great Wall (H.K.) Culture Publish Co., Hong Kong, 1991, p. 213.
    • (1991) Proc. of Systems Science & Systems Engineering , pp. 213
    • Lin, Q.1
  • 10
    • 0000497851 scopus 로고
    • Bounds for a class of linear functionals with applications to Hermite interpolation
    • J. H. Bramble and S. R. Hilbert, "Bounds for a class of linear functionals with applications to Hermite interpolation," Numer. Math. 16, 362 (1971).
    • (1971) Numer. Math. , vol.16 , pp. 362
    • Bramble, J.H.1    Hilbert, S.R.2
  • 12
    • 0002280148 scopus 로고
    • Asymptotic error expansion and Richardson extrapolation for linear finite elements
    • H. Blum, Q. Lin, and R. Rannacher, "Asymptotic error expansion and Richardson extrapolation for linear finite elements," Numer. Math. 49, 11 (1986).
    • (1986) Numer. Math. , vol.49 , pp. 11
    • Blum, H.1    Lin, Q.2    Rannacher, R.3
  • 13
    • 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. 28, 133 (1991).
    • (1991) SIAM, J. Numer. Anal. , vol.28 , pp. 133
    • Peterson, T.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.