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RIDAS
Aprendizaje servicio aplicado a la gestión de desastres en establecimientos educacionales municip... more Aprendizaje servicio aplicado a la gestión de desastres en establecimientos educacionales municipales. RIDAS,
… Modelling and Numerical …, Jan 1, 2012
The aim of this paper is to analyze a low order finite element method for a stiffened plate.
Math. Comp
This paper deals with the finite element approximation of the vibration modes of a laminated plat... more This paper deals with the finite element approximation of the vibration modes of a laminated plate modeled by the Reissner-Mindlin equations; DL3 elements are used for the bending terms and standard piecewise linear continuous elements for the in-plane displacements. An a priori estimate of the regularity of the solution, independent of the plate thickness, is proved for the corresponding load problem. This allows using the abstract approximation theory for spectral problems to study the convergence of the proposed finite element method. Thus, optimal order error estimates including a double order for the vibration frequencies are obtained under appropriate assumptions. These estimates are independent of the plate thickness, which leads to the conclusion that the method is locking-free. Numerical tests are reported to assess the performance of the method.
Math. Comp, Jan 1, 2011
Precise and fast computation of the general complete elliptic integral of the second kind
ing-mat.udec.cl
The aim of this paper is to analyze a low order mixed finite element method for a stiffened plate... more The aim of this paper is to analyze a low order mixed finite element method for a stiffened plate problem modeled by the Reissner Mindlin equations. The continuous formulation of the corresponding Kirchhoff equations was studied in [4] and we extend this analysis to the Reissner-Mindlin case, using adequate finite elements ([2, 1]). The solution of the continuous problem is shown to be bounded above and below independently of the thickness of the plate. Optimal order error estimates are proved for displacements, rotations and shear stresses for the plate and the stiffener. The numerical computations demonstrate that these estimates are independent of the thickness, which seem to show that the method is locking free. Numerical tests are reported in order to assess the performance of the method as compared with other method .
IMA journal of …, Jan 1, 2009
RIDAS
Aprendizaje servicio aplicado a la gestión de desastres en establecimientos educacionales municip... more Aprendizaje servicio aplicado a la gestión de desastres en establecimientos educacionales municipales. RIDAS,
… Modelling and Numerical …, Jan 1, 2012
The aim of this paper is to analyze a low order finite element method for a stiffened plate.
Math. Comp
This paper deals with the finite element approximation of the vibration modes of a laminated plat... more This paper deals with the finite element approximation of the vibration modes of a laminated plate modeled by the Reissner-Mindlin equations; DL3 elements are used for the bending terms and standard piecewise linear continuous elements for the in-plane displacements. An a priori estimate of the regularity of the solution, independent of the plate thickness, is proved for the corresponding load problem. This allows using the abstract approximation theory for spectral problems to study the convergence of the proposed finite element method. Thus, optimal order error estimates including a double order for the vibration frequencies are obtained under appropriate assumptions. These estimates are independent of the plate thickness, which leads to the conclusion that the method is locking-free. Numerical tests are reported to assess the performance of the method.
Math. Comp, Jan 1, 2011
Precise and fast computation of the general complete elliptic integral of the second kind
ing-mat.udec.cl
The aim of this paper is to analyze a low order mixed finite element method for a stiffened plate... more The aim of this paper is to analyze a low order mixed finite element method for a stiffened plate problem modeled by the Reissner Mindlin equations. The continuous formulation of the corresponding Kirchhoff equations was studied in [4] and we extend this analysis to the Reissner-Mindlin case, using adequate finite elements ([2, 1]). The solution of the continuous problem is shown to be bounded above and below independently of the thickness of the plate. Optimal order error estimates are proved for displacements, rotations and shear stresses for the plate and the stiffener. The numerical computations demonstrate that these estimates are independent of the thickness, which seem to show that the method is locking free. Numerical tests are reported in order to assess the performance of the method as compared with other method .
IMA journal of …, Jan 1, 2009