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Volumn 37, Issue 6, 2003, Pages 991-1011

A posteriori error estimates for the 3D stabilized mortar finite element method applied to the Laplace equation

Author keywords

A posteriori estimates; Mixed variational formulation; Mortar finite element method; Non matching grids; Stabilization technique

Indexed keywords


EID: 0346947005     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2003064     Document Type: Article
Times cited : (4)

References (16)
  • 1
    • 0347376341 scopus 로고    scopus 로고
    • A stabilized domain decomposition method with non-matching grids to the Stokes problem in three dimensions
    • to appear
    • F. Ben Belgacem, A stabilized domain decomposition method with non-matching grids to the Stokes problem in three dimensions. SIAM. J. Numer. Anal. (to appear).
    • SIAM. J. Numer. Anal.
    • Ben Belgacem, F.1
  • 2
    • 0347376340 scopus 로고    scopus 로고
    • Some nonstandard finite element estimates with applications to 3D Poisson and Signorini problems
    • F. Ben Belgacem and S.C. Brenner, Some nonstandard finite element estimates with applications to 3D Poisson and Signorini problems. Electron. Trans. Numer. Anal. 37 (2000) 1198-1216.
    • (2000) Electron. Trans. Numer. Anal. , vol.37 , pp. 1198-1216
    • Ben Belgacem, F.1    Brenner, S.C.2
  • 3
    • 0005311960 scopus 로고    scopus 로고
    • The mortar element method for three dimensional elements
    • F. Ben Belgacem and Y. Maday, The mortar element method for three dimensional elements. RAIRO Model Anal. Numér. 31 (1997) 289-302.
    • (1997) RAIRO Model Anal. Numér. , vol.31 , pp. 289-302
    • Ben Belgacem, F.1    Maday, Y.2
  • 4
    • 0036792339 scopus 로고    scopus 로고
    • Error indicators for the mortar finite element discretization of the Laplace equation
    • C. Bernardi and F. Hecht, Error indicators for the mortar finite element discretization of the Laplace equation. Math. Comp. 71 (2002) 1339-1370.
    • (2002) Math. Comp. , vol.71 , pp. 1339-1370
    • Bernardi, C.1    Hecht, F.2
  • 5
    • 0001625423 scopus 로고    scopus 로고
    • A local regularization operator for triangular and quadrilateral finite elements
    • C. Bernardi and V. Girault, A local regularization operator for triangular and quadrilateral finite elements. SIAM. J. Numer. Anal. 35 (1998) 1893-1916.
    • (1998) SIAM. J. Numer. Anal. , vol.35 , pp. 1893-1916
    • Bernardi, C.1    Girault, V.2
  • 6
    • 0010659647 scopus 로고    scopus 로고
    • Mesh adaptivity in finite elements by the mortar method
    • C. Bernardi and Y. Maday, Mesh adaptivity in finite elements by the mortar method. Rev. Européeenne Élém. Finis 9 (2000) 451-465.
    • (2000) Rev. Européeenne Élém. Finis , vol.9 , pp. 451-465
    • Bernardi, C.1    Maday, Y.2
  • 9
    • 8544220284 scopus 로고
    • Basic error estimates for elliptic problems
    • P.G. Ciarlet, J.-L. Lions Eds., North-Holland
    • P.O. Ciarlet, Basic error estimates for elliptic problems, in The Handbook of Numerical Analysis, Vol. II, P.G. Ciarlet, J.-L. Lions Eds., North-Holland (1991) 17-351.
    • (1991) The Handbook of Numerical Analysis , vol.2 , pp. 17-351
    • Ciarlet, P.O.1
  • 11
    • 84966238632 scopus 로고
    • Primal hybrid finite element method for 2nd order elliptic equations
    • P.A. Raviart and J.M. Thomas, Primal hybrid finite element method for 2nd order elliptic equations. Math. Comp. 31 (1977) 391-396.
    • (1977) Math. Comp. , vol.31 , pp. 391-396
    • Raviart, P.A.1    Thomas, J.M.2
  • 12
    • 84966200902 scopus 로고
    • Finite element interpolation of nonsmooth functions satisfying boundary conditions
    • L.R. Scott and S. Zhang, Finite element interpolation of nonsmooth functions satisfying boundary conditions. Math. Comp. 54 (1990) 483-493.
    • (1990) Math. Comp. , vol.54 , pp. 483-493
    • Scott, L.R.1    Zhang, S.2
  • 13
    • 0033450371 scopus 로고    scopus 로고
    • Error estimates for some quasi-interpolation operators
    • R. Verfürth, Error estimates for some quasi-interpolation operators. Modél. Math. Anal. Numér. 33 (1999) 695-713.
    • (1999) Modél. Math. Anal. Numér. , vol.33 , pp. 695-713
    • Verfürth, R.1
  • 16
    • 22844453536 scopus 로고    scopus 로고
    • A residual based error estimator for mortar finite element discretization
    • B. Wohlmuth, A residual based error estimator for mortar finite element discretization. Numer. Math. 84 (1999) 143-171.
    • (1999) Numer. Math. , vol.84 , pp. 143-171
    • Wohlmuth, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.