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Volumn 34, Issue 4, 1997, Pages 1545-1573

Nonconforming mortar element methods for the spectral discretization of two-dimensional fourth-order problems

Author keywords

Ellipticity, optimal error; Partial differential equations; Spectral elements

Indexed keywords


EID: 0001041436     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142995284363     Document Type: Article
Times cited : (17)

References (23)
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    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.116 , pp. 53-58
    • Belhachmi, Z.1    Bernardi, C.2
  • 5
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    • Some spectral approximations of bidimensional fourth-order problems
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    • (1992) Math. Comp. , vol.59 , pp. 63-76
    • Bernardi, C.1    Coppoletta, C.2    Maday, Y.3
  • 6
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    • Polynomials in Weighted Sobolev Spaces
    • Université Pierre et Marie Curie, Paris, Lecture Notes, in preparation
    • C. BERNARDI, M. DAUGE, AND Y. MADAY, Polynomials in Weighted Sobolev Spaces, Rapport interne du Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Paris, 1992; Lecture Notes, in preparation.
    • (1992) Rapport Interne du Laboratoire D'Analyse Numérique
    • Bernardi, C.1    Dauge, M.2    Maday, Y.3
  • 7
    • 0010194989 scopus 로고
    • Couplage de méthodes spectrales et d'éléments finis: Premiers résultats
    • C. BERNARDI, N. DEBIT, AND Y. MADAY, Couplage de méthodes spectrales et d'éléments finis: premiers résultats, C.R. Acad. Sci. Paris 305 Sér. I, 1987, pp. 353-356.
    • (1987) C.R. Acad. Sci. Paris 305 Sér. I , vol.305 , pp. 353-356
    • Bernardi, C.1    Debit, N.2    Maday, Y.3
  • 8
    • 0002659384 scopus 로고
    • Some spectral approximations of one-dimensional fourth-order problems
    • P. Nevai and A. Pinkus, eds., Academic Press, San Diego
    • C. BERNARDI AND Y. MADAY, Some spectral approximations of one-dimensional fourth-order problems, in Progress in Approximation Theory, P. Nevai and A. Pinkus, eds., Academic Press, San Diego, 1991, pp. 43-116.
    • (1991) Progress in Approximation Theory , pp. 43-116
    • Bernardi, C.1    Maday, Y.2
  • 9
    • 0003881208 scopus 로고
    • Approximations spectrales de problèmes aux limites elliptiques
    • Springer-Verlag, Paris
    • C. BERNARDI AND Y.MADAY, Approximations spectrales de problèmes aux limites elliptiques, Collect. Mathématiques et Applications, 10 (1992), Springer-Verlag, Paris.
    • (1992) Collect. Mathématiques et Applications , vol.10
    • Bernardi, C.1    Maday, Y.2
  • 10
    • 38249007906 scopus 로고
    • Polynomial interpolation results in Sobolev spaces
    • C. BERNARDI AND Y. MADAY, Polynomial interpolation results in Sobolev spaces, J. Comput. Appl. Math., 43 (1992), pp. 53-80.
    • (1992) J. Comput. Appl. Math. , vol.43 , pp. 53-80
    • Bernardi, C.1    Maday, Y.2
  • 11
    • 0000950141 scopus 로고    scopus 로고
    • Spectral element methods
    • P.G. Ciarlet and J.-L. Lions, eds., North-Holland, Amsterdam, to appear
    • C. BERNARDI, Y. MADAY, AND A. T. PATERA, Spectral element methods, in Handbook of Numerical Analysis, P.G. Ciarlet and J.-L. Lions, eds., North-Holland, Amsterdam, to appear.
    • Handbook of Numerical Analysis
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 12
    • 0002336587 scopus 로고
    • A new non conforming approach to domain decomposition: The mortar element method
    • Collège de France Seminar XI, H. Brézis and J.-L. Lions, eds., Pitman, Boston, MA
    • C. BERNARDI, Y. MADAY, AND A. T. PATERA, A new non conforming approach to domain decomposition: the mortar element method, in Non Linear Partial Differential Equations and Their Applications, Collège de France Seminar XI, H. Brézis and J.-L. Lions, eds., Pitman, Boston, MA, 1992.
    • (1992) Non Linear Partial Differential Equations and Their Applications
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 13
    • 51649163033 scopus 로고
    • Méthodes d'éléments finis mixtes pour les équations de Navier-Stokes dans un polygone non convexe
    • C. BERNARDI AND G. RAUGEL, Méthodes d'éléments finis mixtes pour les équations de Navier-Stokes dans un polygone non convexe, Calcolo, XVIII(1981), pp. 255-291.
    • (1981) Calcolo , vol.18 , pp. 255-291
    • Bernardi, C.1    Raugel, G.2
  • 23
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    • Pergamon Press, Oxford, London, Edinburgh, Now York, Paris, Frankfurt
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    • (1964) A Course of Higher Mathematics , vol.2-3
    • Smirnov, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.