A new mixed finite element method for the Timoshenko beam problem

Leopoldo P. Franca; Abimael F. D. Loula

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1991)

  • Volume: 25, Issue: 5, page 561-578
  • ISSN: 0764-583X

How to cite

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Franca, Leopoldo P., and Loula, Abimael F. D.. "A new mixed finite element method for the Timoshenko beam problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 25.5 (1991): 561-578. <http://eudml.org/doc/193640>.

@article{Franca1991,
author = {Franca, Leopoldo P., Loula, Abimael F. D.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {interpolation procedure; Galerkin method; perturbed Galerkin method; shear force; rotation; Lagrange multiplier; Brezzi's theorem; mixed variational formulation; convergence; equal-order linear and quadratic elements},
language = {eng},
number = {5},
pages = {561-578},
publisher = {Dunod},
title = {A new mixed finite element method for the Timoshenko beam problem},
url = {http://eudml.org/doc/193640},
volume = {25},
year = {1991},
}

TY - JOUR
AU - Franca, Leopoldo P.
AU - Loula, Abimael F. D.
TI - A new mixed finite element method for the Timoshenko beam problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1991
PB - Dunod
VL - 25
IS - 5
SP - 561
EP - 578
LA - eng
KW - interpolation procedure; Galerkin method; perturbed Galerkin method; shear force; rotation; Lagrange multiplier; Brezzi's theorem; mixed variational formulation; convergence; equal-order linear and quadratic elements
UR - http://eudml.org/doc/193640
ER -

References

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  1. [1] A. F. D. LOULA, T. J. R. HUGHES, L. P. FRANCA and L MIRANDA, Mixed Petrov-Galerkin Method for the Timoshenko Beam, Comput. Methods Appl. Mech. Engrg., 63, 133-154, 1987. Zbl0607.73076MR906535
  2. [2] F. BREZZIOn the Existence, Uniqueness and Approximation of Saddle-point Problems Arising From Lagrange Multipliers, RAIRO Modél. Math. Anal. Numér., 8, R-2, 129-151, 1974. Zbl0338.90047MR365287
  3. [3] D. N. ARNOLD, Discretization by Finite Elements of a Model Parameter Dependent Problem, Numer. Math., 37, 129-151, 1974. Zbl0446.73066MR627113
  4. [4] L. P. FRANCIA, New Mixed Finite Element Methods, PhD Dissertation, Stanford University, 1987. 
  5. [5] P. G. CIARLET, The Finite Element Method for Elliptc Problems, North-Holland Publishing Company, Amsterdam, 1978. Zbl0383.65058MR520174

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