On equilibrium finite elements in three-dimensional case

Sergey Korotov

Applications of Mathematics (1997)

  • Volume: 42, Issue: 3, page 233-242
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Korotov, Sergey. "On equilibrium finite elements in three-dimensional case." Applications of Mathematics 42.3 (1997): 233-242. <http://eudml.org/doc/32978>.

@article{Korotov1997,
abstract = {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.},
author = {Korotov, Sergey},
journal = {Applications of Mathematics},
keywords = {divergence-free functions; finite elements; internal approximation; stream function.; Fourier transform; divergence-free functions; finite elements; internal approximation; stream function; Fourier transform},
language = {eng},
number = {3},
pages = {233-242},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On equilibrium finite elements in three-dimensional case},
url = {http://eudml.org/doc/32978},
volume = {42},
year = {1997},
}

TY - JOUR
AU - Korotov, Sergey
TI - On equilibrium finite elements in three-dimensional case
JO - Applications of Mathematics
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 3
SP - 233
EP - 242
AB - 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.
LA - eng
KW - divergence-free functions; finite elements; internal approximation; stream function.; Fourier transform; divergence-free functions; finite elements; internal approximation; stream function; Fourier transform
UR - http://eudml.org/doc/32978
ER -

References

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  1. Finite Element Approximation of the Navier-Stokes Equations, Springer-Verlag, Berlin, 1979. (1979) MR0548867
  2. Internal finite element approximations in the dual variational methods for second order elliptic problems with curved boundaries, Apl. Mat. 29 (1984), 52–69. (1984) MR0729953
  3. 10.1002/fld.1650061104, Internat. J. Numer. Methods Fluids 6 (1986), 811–817. (1986) MR0865678DOI10.1002/fld.1650061104
  4. Finite Element Approximation of Variational Problems and Applications, Longman Scientific & Technical, Harlow, 1990. (1990) MR1066462
  5. 10.1007/BF01399314, Numer. Math. 39 (1982), 97–112. (1982) MR0664539DOI10.1007/BF01399314
  6. Navier-Stokes Equations, North-Holland, Amsterdam, 1979. (1979) Zbl0454.35073MR0603444
  7. Equations of Mathematical Physics, Marcel Dekker, New York, 1971. (1971) Zbl0231.35002MR0268497

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