On the solution of one problem of the plate with ribs

Petr Procházka

Aplikace matematiky (1980)

  • Volume: 25, Issue: 3, page 196-208
  • ISSN: 0862-7940

Abstract

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In the present paper the convergence of the finite element method to the solution of the problem of a plate with ribs which are stiff against torsion in the sense of Vlasov is studied. According to the conclusions of a paper by the author and J. Haslinger it suffices to prove a density theorem (Theorem 2.1).

How to cite

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Procházka, Petr. "On the solution of one problem of the plate with ribs." Aplikace matematiky 25.3 (1980): 196-208. <http://eudml.org/doc/15142>.

@article{Procházka1980,
abstract = {In the present paper the convergence of the finite element method to the solution of the problem of a plate with ribs which are stiff against torsion in the sense of Vlasov is studied. According to the conclusions of a paper by the author and J. Haslinger it suffices to prove a density theorem (Theorem 2.1).},
author = {Procházka, Petr},
journal = {Aplikace matematiky},
keywords = {convergence of finite element approach; bending of plates with ribs; density theorem; convergence of finite element approach; bending of plates with ribs; density theorem},
language = {eng},
number = {3},
pages = {196-208},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the solution of one problem of the plate with ribs},
url = {http://eudml.org/doc/15142},
volume = {25},
year = {1980},
}

TY - JOUR
AU - Procházka, Petr
TI - On the solution of one problem of the plate with ribs
JO - Aplikace matematiky
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 25
IS - 3
SP - 196
EP - 208
AB - In the present paper the convergence of the finite element method to the solution of the problem of a plate with ribs which are stiff against torsion in the sense of Vlasov is studied. According to the conclusions of a paper by the author and J. Haslinger it suffices to prove a density theorem (Theorem 2.1).
LA - eng
KW - convergence of finite element approach; bending of plates with ribs; density theorem; convergence of finite element approach; bending of plates with ribs; density theorem
UR - http://eudml.org/doc/15142
ER -

References

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  1. P. G. Ciarlet P. A. Raviart, General Lagrange and Hermite Interpolation in R n with Aplications to Finite Element Methods, Arch. Rat. Mech. Anal., sv. 46, 1972. (1972) MR0336957
  2. J. Haslinger, Sur la solution d'un problème de la plaque, Apl. mat. с. 5, sv. 19, 1974. (1974) Zbl0324.73049MR0369902
  3. J. Haslinger P. Procházka, Conforming finite element method in the problem of a plate with ribs, Apl. mat. c. 4, sv. 22 1977. (1977) MR0449141
  4. V. Janovský P. Procházka, The nonconforming finite element method in the problem of clamped plate with ribs, Apl. mat. č. 4, sv. 21, 1976. (1976) MR0413548
  5. V. Janovský P. Procházka, Convergence analysis of a nonconforming finite element method solving a plate with ribs, Apl. mat. c. 1, sv. 23, 1978. (1978) MR0462100
  6. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Praha, 1967. (1967) MR0227584
  7. P. Procházka, Plate with ribs, (in Czech). CSc-dissertation, ČVUT, Praha, 1975. (1975) 

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