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Title: On equilibrium finite elements in three-dimensional case (English)
Author: Korotov, Sergey
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 42
Issue: 3
Year: 1997
Pages: 233-242
Summary lang: English
Category: math
Summary: The space of divergence-free functions with vanishing normal flux on the boundary is approximated by subspaces of finite elements that have the same property. The easiest way of generating basis functions in these subspaces is considered. (English)
Keyword: divergence-free functions
Keyword: finite elements
Keyword: internal approximation
Keyword: stream function.
Keyword: Fourier transform
MSC: 65N30
MSC: 74S05
MSC: 76M10
idZBL: Zbl 0902.65055
idMR: MR1441632
DOI: 10.1023/A:1022421722236
Date available: 2009-09-22T17:54:41Z
Last updated: 2020-07-02
Stable URL:
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Reference: [2] I. Hlaváček, M. Křížek: Internal finite element approximations in the dual variational methods for second order elliptic problems with curved boundaries.Apl. Mat. 29 (1984), 52–69. MR 0729953
Reference: [3] M. Křížek, P. Neittaanmäki: Internal FE approximation of spaces of divergence-free functions in 3-dimensional domains.Internat. J. Numer. Methods Fluids 6 (1986), 811–817. MR 0865678, 10.1002/fld.1650061104
Reference: [4] M. Křížek, P. Neittaanmäki: Finite Element Approximation of Variational Problems and Applications.Longman Scientific & Technical, Harlow, 1990. MR 1066462
Reference: [5] J. C. Nedelec: Eléments finis mixtes incompressibles pour l’equation de Stokes dans $^3$.Numer. Math. 39 (1982), 97–112. MR 0664539, 10.1007/BF01399314
Reference: [6] R. Temam: Navier-Stokes Equations.North-Holland, Amsterdam, 1979. Zbl 0454.35073, MR 0603444
Reference: [7] V. S. Vladimirov: Equations of Mathematical Physics.Marcel Dekker, New York, 1971. Zbl 0231.35002, MR 0268497


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