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Volumn 166, Issue 1-2, 1998, Pages 99-114

A posteriori error estimation in least-squares stabilized finite element schemes

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; ESTIMATION; GALERKIN METHODS; LEAST SQUARES APPROXIMATIONS; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 0039774368     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00085-1     Document Type: Article
Times cited : (24)

References (33)
  • 1
    • 51249186403 scopus 로고
    • A stable finite element for the Stokes equations
    • [1] D.N. Arnold, F. Brezzi and M. Fortin, A stable finite element for the Stokes equations, Calcolo 21 (1984) 337-344.
    • (1984) Calcolo , vol.21 , pp. 337-344
    • Arnold, D.N.1    Brezzi, F.2    Fortin, M.3
  • 2
    • 0000613724 scopus 로고
    • Error estimates for adaptive finite element computations
    • [2] I. Babuška and W.C. Rheinboldt, Error estimates for adaptive finite element computations, SIAM J. Numer. Anal. 15 (1978) 736-754.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 736-754
    • Babuška, I.1    Rheinboldt, W.C.2
  • 7
    • 0030383153 scopus 로고    scopus 로고
    • A feed-back approach to error control in finite element methods: Basic analysis and examples
    • [7] R. Becker and R. Rannacher, A feed-back approach to error control in finite element methods: Basic analysis and examples, EAST-WEST J. Numer. Math. 4 (1996) 237-264.
    • (1996) EAST-WEST J. Numer. Math. , vol.4 , pp. 237-264
    • Becker, R.1    Rannacher, R.2
  • 11
    • 0000518260 scopus 로고    scopus 로고
    • A posteriori error estimators for the Raviart-Thomas element
    • [11] D. Braess and R. Verfürth. A posteriori error estimators for the Raviart-Thomas element, SIAM J. Numer. Anal. 33 (1996) 2431-2444.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 2431-2444
    • Braess, D.1    Verfürth, R.2
  • 17
    • 84966225938 scopus 로고
    • An adaptive finite element method for linear elliptic problems
    • [17] K. Eriksson and C. Johnson, An adaptive finite element method for linear elliptic problems, Math. Comput. 50 (1988) 361-383.
    • (1988) Math. Comput. , vol.50 , pp. 361-383
    • Eriksson, K.1    Johnson, C.2
  • 18
    • 0031336890 scopus 로고    scopus 로고
    • An adaptive streamline-diffusion finite element method for hyperbolic conservation laws
    • Preprint, Institute for Applied Mathematics, Heidelberg University, August to appear.
    • [18] Chr. Führer and R. Rannacher, An adaptive streamline-diffusion finite element method for hyperbolic conservation laws, Preprint, Institute for Applied Mathematics, Heidelberg University, August 1997, EAST-WEST J. Numer. Math., to appear.
    • (1997) EAST-WEST J. Numer. Math.
    • Führer, C.1    Rannacher, R.2
  • 19
    • 4243253565 scopus 로고    scopus 로고
    • An adaptive finite element method for unsteady convection-dominated flows with sitff source terms
    • Preprint, Institute for Applied Mathematics, Heidelberg University, April submitted.
    • [19] Chr. Führer, F.-K. Hebeker and R. Rannacher, An adaptive finite element method for unsteady convection-dominated flows with sitff source terms, Preprint, Institute for Applied Mathematics, Heidelberg University, April 1997, SIAM J. Sci. Comput., submitted.
    • (1997) SIAM J. Sci. Comput.
    • Führer, C.1    Hebeker, F.-K.2    Rannacher, R.3
  • 20
    • 0026386228 scopus 로고
    • Error analysis of some Galerkin least squares methods for the elasticity equations
    • [20] L.P. Franca and R. Stenberg, Error analysis of some Galerkin least squares methods for the elasticity equations, SIAM J. Numer. Anal. 28 (1991).
    • (1991) SIAM J. Numer. Anal. , vol.28
    • Franca, L.P.1    Stenberg, R.2
  • 21
    • 0022810283 scopus 로고
    • A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation for the Stokes problem accommodating equal order interpolation
    • [21] T.J.R. Hughes, L.P. Franca and M. Balestra, A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation for the Stokes problem accommodating equal order interpolation, Comput. Methods Appl. Mech. Engrg. 59 (1986) 85-99.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.59 , pp. 85-99
    • Hughes, T.J.R.1    Franca, L.P.2    Balestra, M.3
  • 23
    • 0027004931 scopus 로고
    • Adaptive finite element methods in computational mechanics
    • [23] C. Johnson and P. Hansbo, Adaptive finite element methods in computational mechanics, Comput. Mech. Appl. Mech. Engrg. 101 (1992) 143-181.
    • (1992) Comput. Mech. Appl. Mech. Engrg. , vol.101 , pp. 143-181
    • Johnson, C.1    Hansbo, P.2
  • 25
    • 0003294239 scopus 로고
    • Numerical methods for conservation laws
    • ETH Zürich, Birkhäuser
    • [25] R. LeVeque, Numerical methods for conservation laws, Lectures in Mathematics, ETH Zürich, Birkhäuser, 1992.
    • (1992) Lectures in Mathematics
    • Leveque, R.1
  • 27
    • 0031123544 scopus 로고    scopus 로고
    • A feed-back approach to error control in finite element methods: Application to linear elasticity
    • [27] R. Rannacher and F.-T. Suttmeier, A feed-back approach to error control in finite element methods: Application to linear elasticity, Comput. Mech. 19 (1997) 434-446.
    • (1997) Comput. Mech. , vol.19 , pp. 434-446
    • Rannacher, R.1    Suttmeier, F.-T.2
  • 28
    • 0039939790 scopus 로고    scopus 로고
    • A posteriori error control and mesh adaptation for FE models in elasticity and elasto-plasticity
    • Preprint, Institute for Applied Mathematics, University of Heidelberg, Sept. 17-19, Comput. Methods Appl. Mech. Engrg., in press.
    • [28] R. Rannacher and F.-T. Suttmeier, A posteriori error control and mesh adaptation for FE models in elasticity and elasto-plasticity, Preprint, Institute for Applied Mathematics, University of Heidelberg, Proc. Workshop On New Advances in Adaptive Computational Methods in Mechanics, Paris, Sept. 17-19, 1997, Comput. Methods Appl. Mech. Engrg., in press.
    • (1997) Proc. Workshop On New Advances in Adaptive Computational Methods in Mechanics, Paris
    • Rannacher, R.1    Suttmeier, F.-T.2
  • 30
    • 0040130151 scopus 로고    scopus 로고
    • Bubble stabilization of finite element methods for the linearized Navier-Stokes equations
    • Tech. Rep. 930, Istituto di Analisi Numerica del CNR, Pavia, Italy, 1994
    • [30] A. Russo, Bubble stabilization of finite element methods for the linearized Navier-Stokes equations, Tech. Rep. 930, Istituto di Analisi Numerica del CNR, Pavia, Italy, 1994, Comput. Methods Appl. Mech. Engrg. 132 (1996) 335-343.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.132 , pp. 335-343
    • Russo, A.1
  • 32
    • 0003207769 scopus 로고    scopus 로고
    • A review of a posteriori error estimation and adaptive mesh-refinement techniques
    • Wiley/Teubner, New York-Stuttgart
    • [32] R. Verfürth, A review of a posteriori error estimation and adaptive mesh-refinement techniques, Advances in Numerical Mathematics (Wiley/Teubner, New York-Stuttgart, 1996).
    • (1996) Advances in Numerical Mathematics
    • Verfürth, R.1
  • 33
    • 0040350243 scopus 로고
    • How accurate is the streamline diffusion finite element method?
    • Preprint 95-22, SFB 359, Heidelberg University, April to appear.
    • [33] G. Zhou, How accurate is the streamline diffusion finite element method?, Preprint 95-22, SFB 359, Heidelberg University, April 1995, Math. Comput., to appear.
    • (1995) Math. Comput.
    • Zhou, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.