Special exact curved finite elements

Jitka Křížková

Applications of Mathematics (1991)

  • Volume: 36, Issue: 2, page 81-95
  • ISSN: 0862-7940

Abstract

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Special exact curved finite elements useful for solving contact problems of the second order in domains boundaries of which consist of a finite number of circular ares and a finite number of line segments are introduced and the interpolation estimates are proved.

How to cite

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Křížková, Jitka. "Special exact curved finite elements." Applications of Mathematics 36.2 (1991): 81-95. <http://eudml.org/doc/15662>.

@article{Křížková1991,
abstract = {Special exact curved finite elements useful for solving contact problems of the second order in domains boundaries of which consist of a finite number of circular ares and a finite number of line segments are introduced and the interpolation estimates are proved.},
author = {Křížková, Jitka},
journal = {Applications of Mathematics},
keywords = {finite elements; special exact curved finite elements; interpolation estimates; contact problems; interpolation estimates; curved elements; contact problems; finite elements},
language = {eng},
number = {2},
pages = {81-95},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Special exact curved finite elements},
url = {http://eudml.org/doc/15662},
volume = {36},
year = {1991},
}

TY - JOUR
AU - Křížková, Jitka
TI - Special exact curved finite elements
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 2
SP - 81
EP - 95
AB - Special exact curved finite elements useful for solving contact problems of the second order in domains boundaries of which consist of a finite number of circular ares and a finite number of line segments are introduced and the interpolation estimates are proved.
LA - eng
KW - finite elements; special exact curved finite elements; interpolation estimates; contact problems; interpolation estimates; curved elements; contact problems; finite elements
UR - http://eudml.org/doc/15662
ER -

References

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  1. J. Křižková O. Blahník, Application of Special Curved Elements to the Solution of the Electromagnetic Field, Applied Mathematics Notes, vol. 14 (1989), 8-25. (1989) 
  2. L. Holuša A. Ženíšek, Applications of Curved Triangular Finite C 1 - Elements, Proceedings of Algorithms 79, Vysoké Tatry 1979, 128-136. (1979) 
  3. V. Kolář J. Kratochvíl F. Leitner A. Ženíšek, Computation of Surface and Space Constructions by the Finite Element Method, (Czech). Praha, SNTL 1979. (1979) 
  4. A. Kufner O. John S. Fučík, Function Spaces, Academia, Praha 1977. (1977) MR0482102
  5. J. Nečas, Les méthodes directes en théorie des equations elliptiques, Academia, Praha 1967. (1967) MR0227584
  6. K. Rektorys, Variační metody v inženýrských problémech a problémech matematické fyziky, Praha SNTL 1979. (1979) 
  7. M. Zlámal, On the Finite Element Method, Numer. Math. 12 (1968), 394-409. (1968) MR0243753
  8. M. Zlámal, Curved Elements in the Finite Element Method I, SIAM J. Numer. Anal. vol. 10. No 1 (1973), 229-240. (1973) MR0395263
  9. M. Zlámal, Curved Elements in the Finite Element Method II, SIAM J. Numer. Anal. vol. 11. No 2 (1974), 347-462. (1974) MR0343660
  10. A. Ženíšek, Interpolation Polynomials on the Triangle, Numer. Math. 15 (1970), 283-296. (1970) MR0275014
  11. A. Ženíšek, Curved Triangular Finite C m -Elements, Aplikace matematiky 23 (1978), 346-377. (1978) MR0502072
  12. A. Ženíšek, Curved Triangular C m -Elements and their Applications, (Czech), Sborník referátů III. letní školy Software a algoritmy numer. mat., Nové Město na Moravě 1979. (1979) MR0566166

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