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Volumn 22-23, Issue , 2005, Pages 347-370

Energy norm shape a posteriori error estimation for mixed discontinuous Galerkin approximations of the stokes problem

Author keywords

A posteriori errorestimation; Discontinuous Galerkin methods; Stokes problem

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; PROBLEM SOLVING;

EID: 17444413054     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-004-4143-7     Document Type: Article
Times cited : (55)

References (24)
  • 1
    • 0036410391 scopus 로고    scopus 로고
    • Unified analysis of discontinuous Galerkin methods for elliptic problems
    • Arnold, D.N., Brezzi, F., Cockburn, B., and Marini, L. D. (2001). Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. 39, 1749-1779.
    • (2001) SIAM J. Numer. Anal. , vol.39 , pp. 1749-1779
    • Arnold, D.N.1    Brezzi, F.2    Cockburn, B.3    Marini, L.D.4
  • 2
    • 0000812911 scopus 로고
    • Piecewise solenoidal vector fields and the Stokes problem
    • Baker, G. A., Jureidini, W. N., and Karakashian, O. A. (1990). Piecewise solenoidal vector fields and the Stokes problem. SIAM J. Numer. Anal. 27, 1466-1485.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 1466-1485
    • Baker, G.A.1    Jureidini, W.N.2    Karakashian, O.A.3
  • 3
    • 0037474430 scopus 로고    scopus 로고
    • Energy norm a posteriori error estimation for discontinuous Galerkin methods
    • Becker, R., Hansbo, P., and Larson, M. G. (2003). Energy norm a posteriori error estimation for discontinuous Galerkin methods. Comput. Meth. Appl. Mech. Eng. 192, 723-733.
    • (2003) Comput. Meth. Appl. Mech. Eng. , vol.192 , pp. 723-733
    • Becker, R.1    Hansbo, P.2    Larson, M.G.3
  • 4
    • 0038682938 scopus 로고    scopus 로고
    • A finite element method for domain decomposition with non-matching grids
    • Becker, R., Hansbo, P., and Stenberg, R. (2003). A finite element method for domain decomposition with non-matching grids. Math. Model. Anal. Numer. 37, 209-225.
    • (2003) Math. Model. Anal. Numer. , vol.37 , pp. 209-225
    • Becker, R.1    Hansbo, P.2    Stenberg, R.3
  • 6
    • 1642602854 scopus 로고    scopus 로고
    • The local discontinuous Galerkin method for the Oseen equations
    • Cockburn, B., Kanschat, G., and Schötzau, D. (2004). The local discontinuous Galerkin method for the Oseen equations. Math. Comp. 73, 569-593.
    • (2004) Math. Comp. , vol.73 , pp. 569-593
    • Cockburn, B.1    Kanschat, G.2    Schötzau, D.3
  • 8
    • 0002307515 scopus 로고
    • Stationary Stokes and Navier-Stokes systems on two- Or three-dimensional domains with corners. Part I: Linearized equations
    • Dauge, M. (1989). Stationary Stokes and Navier-Stokes systems on two- or three-dimensional domains with corners. Part I: Linearized equations. SIAM J. Math. Anal. 20(1), 74-97.
    • (1989) SIAM J. Math. Anal. , vol.20 , Issue.1 , pp. 74-97
    • Dauge, M.1
  • 9
    • 0009522795 scopus 로고
    • Introduction to adaptive methods for differential equations
    • Iserles, A. (ed.), Cambridge University Press
    • Eriksson, K., Estep, D., Hansbo, P., and Johnson, C. (1995). Introduction to adaptive methods for differential equations. In Iserles, A. (ed.), Acta Numerica, Cambridge University Press, pp. 105-158.
    • (1995) Acta Numerica , pp. 105-158
    • Eriksson, K.1    Estep, D.2    Hansbo, P.3    Johnson, C.4
  • 12
    • 0037085994 scopus 로고    scopus 로고
    • Discontinuous finite element methods for incompressible and nearly incompressible elasticity by use of Nitsche's method
    • Hansbo, P., and Larson, M. G. (2002). Discontinuous finite element methods for incompressible and nearly incompressible elasticity by use of Nitsche's method. Comput. Meth. Appl. Mech. Eng. 191, 1895-1908.
    • (2002) Comput. Meth. Appl. Mech. Eng. , vol.191 , pp. 1895-1908
    • Hansbo, P.1    Larson, M.G.2
  • 13
    • 20144385612 scopus 로고    scopus 로고
    • Mixed discontinuous Galerkin approximation of the Maxwell operator
    • Houston, P., Perugia, I., and Schötzau, D. (2004). Mixed discontinuous Galerkin approximation of the Maxwell operator. SIAM J: Numer. Anal. 42, 434-459.
    • (2004) SIAM J: Numer. Anal. , vol.42 , pp. 434-459
    • Houston, P.1    Perugia, I.2    Schötzau, D.3
  • 15
    • 0036992402 scopus 로고    scopus 로고
    • Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems
    • Kanschat G., and Rannacher, R. (2002). Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. J. Numer. Math. 10, 249-274.
    • (2002) J. Numer. Math. , vol.10 , pp. 249-274
    • Kanschat, G.1    Rannacher, R.2
  • 16
    • 0001408252 scopus 로고    scopus 로고
    • A nonconforming finite element method for the stationary Navier-Stokes equations
    • Karakashian, O. A., and Jureidini, W. N. (1998). A nonconforming finite element method for the stationary Navier-Stokes equations. SIAM J. Numer. Anal. 35, 93-120.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 93-120
    • Karakashian, O.A.1    Jureidini, W.N.2
  • 17
    • 11044220115 scopus 로고    scopus 로고
    • A posteriori error estimation for a discontinuous Galerkin approximation of second order elliptic problems
    • Karakashian, O. A., and Pascal, F. (2003). A posteriori error estimation for a discontinuous Galerkin approximation of second order elliptic problems. SIAM J. Numer. Anal. 41, 2374-2399.
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 2374-2399
    • Karakashian, O.A.1    Pascal, F.2
  • 18
    • 0348152044 scopus 로고    scopus 로고
    • An hp-analysis of the local discontinuous Galerkin method for diffusion problems
    • Perugia, I., and Schötzau, D. (2002). An hp-analysis of the local discontinuous Galerkin method for diffusion problems. J. Sci. Comput. 17, 561-571.
    • (2002) J. Sci. Comput. , vol.17 , pp. 561-571
    • Perugia, I.1    Schötzau, D.2
  • 19
    • 0041823208 scopus 로고    scopus 로고
    • A Posteriori error estimates for a discontinous Galerkin method applied to elliptic problems
    • Rivière, B., and Wheeler. M. F. (2003). A Posteriori error estimates for a discontinous Galerkin method applied to elliptic problems. Comput. Math. Appl. 46, 141-163.
    • (2003) Comput. Math. Appl. , vol.46 , pp. 141-163
    • Rivière, B.1    Wheeler, M.F.2
  • 21
    • 0842346959 scopus 로고    scopus 로고
    • Exponential convergence of mixed hp-DGFEM for Stokes flow in polygons
    • Schötzau, D., and Wihler, T. P. (2003). Exponential convergence of mixed hp-DGFEM for Stokes flow in polygons. Numer. Math. 96, 339-361.
    • (2003) Numer. Math. , vol.96 , pp. 339-361
    • Schötzau, D.1    Wihler, T.P.2
  • 22
    • 0036857697 scopus 로고    scopus 로고
    • Hp-Discontinuous Galerkin approximations for the Stokes problem
    • Toselli, A. (2002). hp-Discontinuous Galerkin approximations for the Stokes problem. Math. Models Meth. Appl. Sci. 12, 1565-1616.
    • (2002) Math. Models Meth. Appl. Sci. , vol.12 , pp. 1565-1616
    • Toselli, A.1
  • 24
    • 0042324063 scopus 로고    scopus 로고
    • Exponential convergence of the hp-DGFEM for diffusion problems
    • Wihler, T. P., Frauenfelder, P., and Schwab, C. (2003). Exponential convergence of the hp-DGFEM for diffusion problems. Comput. Math. Appl. 46, 183-205.
    • (2003) Comput. Math. Appl. , vol.46 , pp. 183-205
    • Wihler, T.P.1    Frauenfelder, P.2    Schwab, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.