Internal finite element approximation in the dual variational method for the biharmonic problem

Ivan Hlaváček; Michal Křížek

Aplikace matematiky (1985)

  • Volume: 30, Issue: 4, page 255-273
  • ISSN: 0862-7940

Abstract

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A conformal finite element method is investigated for a dual variational formulation of the biharmonic problem with mixed boundary conditions on domains with piecewise smooth curved boundary. Thus in the problem of elastic plate the bending moments are calculated directly. For the construction of finite elements a vector potential is used together with C 0 -elements. The convergence of the method is proved and an algorithm described.

How to cite

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Hlaváček, Ivan, and Křížek, Michal. "Internal finite element approximation in the dual variational method for the biharmonic problem." Aplikace matematiky 30.4 (1985): 255-273. <http://eudml.org/doc/15404>.

@article{Hlaváček1985,
abstract = {A conformal finite element method is investigated for a dual variational formulation of the biharmonic problem with mixed boundary conditions on domains with piecewise smooth curved boundary. Thus in the problem of elastic plate the bending moments are calculated directly. For the construction of finite elements a vector potential is used together with $C^0$-elements. The convergence of the method is proved and an algorithm described.},
author = {Hlaváček, Ivan, Křížek, Michal},
journal = {Aplikace matematiky},
keywords = {conforming finite element method; dual variational formulation; biharmonic problem; mixed boundary conditions; conforming finite element method; dual variational formulation; biharmonic problem; mixed boundary conditions},
language = {eng},
number = {4},
pages = {255-273},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Internal finite element approximation in the dual variational method for the biharmonic problem},
url = {http://eudml.org/doc/15404},
volume = {30},
year = {1985},
}

TY - JOUR
AU - Hlaváček, Ivan
AU - Křížek, Michal
TI - Internal finite element approximation in the dual variational method for the biharmonic problem
JO - Aplikace matematiky
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 4
SP - 255
EP - 273
AB - A conformal finite element method is investigated for a dual variational formulation of the biharmonic problem with mixed boundary conditions on domains with piecewise smooth curved boundary. Thus in the problem of elastic plate the bending moments are calculated directly. For the construction of finite elements a vector potential is used together with $C^0$-elements. The convergence of the method is proved and an algorithm described.
LA - eng
KW - conforming finite element method; dual variational formulation; biharmonic problem; mixed boundary conditions; conforming finite element method; dual variational formulation; biharmonic problem; mixed boundary conditions
UR - http://eudml.org/doc/15404
ER -

References

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