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Volumn 21, Issue 1, 2001, Pages 107-122

The reliability of local error estimators for convection-diffusion equations

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYERS; DIFFUSION IN LIQUIDS; EQUATIONS OF STATE; HEAT CONVECTION; MESH GENERATION; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0035529763     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/21.1.107     Document Type: Article
Times cited : (16)

References (15)
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    • (1996) J. Comp. Appl. Math. , vol.74 , pp. 3-17
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  • 2
    • 0028497908 scopus 로고
    • The performance of Bank-Weiser's error estimator for quadrilateral elements
    • AINSWORTH, M. 1994 The performance of Bank-Weiser's error estimator for quadrilateral elements. Num. Meth. PDEs. 10, 609-623.
    • (1994) Num. Meth. Pdes. , vol.10 , pp. 609-623
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  • 3
    • 0000924189 scopus 로고    scopus 로고
    • Reliable and robust a posteriori error estimation for singularly perturbed reaction-diffusion problems
    • AINSWORTH, M. & BABUŠKA, I. 1999 Reliable and robust a posteriori error estimation for singularly perturbed reaction-diffusion problems. SIAM J. Numer. Anal. 36, 331-353.
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 331-353
    • Ainsworth, M.1    Babuška, I.2
  • 4
    • 0026973251 scopus 로고
    • A procedure for a posteriori error estimation for h - p finite element methods
    • AINSWORTH, M. & ODEN, J. T. 1992 A procedure for a posteriori error estimation for h - p finite element methods. Comp. Meth. Appl. Mech. Eng. 101, 73-96.
    • (1992) Comp. Meth. Appl. Mech. Eng. , vol.101 , pp. 73-96
    • Ainsworth, M.1    Oden, J.T.2
  • 5
    • 0028407162 scopus 로고
    • A model study of the quality of a posteriori error estimators for linear elliptic problem error estimation in the interior of patchwise uniform grids of triangles
    • BABUŠKA, I., STROUBOULIS, T., UPADHYAY, C. S., & GANGARAJ, S. K. 1994 A model study of the quality of a posteriori error estimators for linear elliptic problem error estimation in the interior of patchwise uniform grids of triangles. Comp. Meth. Appl. Mech. Eng. 114, 307-378.
    • (1994) Comp. Meth. Appl. Mech. Eng. , vol.114 , pp. 307-378
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3    Gangaraj, S.K.4
  • 6
    • 84966215690 scopus 로고
    • Some a posteriori error estimators for elliptic partial differential equations
    • BANK, R. E. & WEISER, A. 1985 Some a posteriori error estimators for elliptic partial differential equations. Math. Comp. 44, 283-301.
    • (1985) Math. Comp. , vol.44 , pp. 283-301
    • Bank, R.E.1    Weiser, A.2
  • 7
    • 0003854283 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • BRAESS, D. 1997 Finite Elements. Cambridge: Cambridge University Press.
    • (1997) Finite Elements
    • Braess, D.1
  • 8
    • 0016541865 scopus 로고
    • Approximation by finite element functions using local regularization
    • CLÉMENT, P. 1975 Approximation by finite element functions using local regularization. R.A.I.R.O. Anal. Numér. 2, 77-84.
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  • 9
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    • On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems
    • FISCHER, B., RAMAGE, A., SILVESTER, D. J., & WATHEN, A. J. 1999 On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems. Comp. Meth. Appl. Mech. Eng. 179, 179-196.
    • (1999) Comp. Meth. Appl. Mech. Eng. , vol.179 , pp. 179-196
    • Fischer, B.1    Ramage, A.2    Silvester, D.J.3    Wathen, A.J.4
  • 12
    • 0033294668 scopus 로고    scopus 로고
    • A posteriori error estimation for stabilised mixed approximations of the Stokes equations
    • KAY, D. & SILVESTER, D. 2000 A posteriori error estimation for stabilised mixed approximations of the Stokes equations. SIAM J. Sci. Comput. 21, 1321-1336.
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    • A posteriori error estimators for convection-diffusion equations
    • VERFÜRTH, R. 1998 A posteriori error estimators for convection-diffusion equations. Numer. Math. 80, 641-663.
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    • Verfürth, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.