Nonconforming Finite Element Methods for Eigenvalue Problems in Linear Plate Theory.
R. Rannacher (1979)
Numerische Mathematik
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Displaying similar documents to “A spectral Galerkin approximation of the Orr-Sommerfeld eigenvalue problem in a semi-finite domain.”
Nonconforming Finite Element Methods for Eigenvalue Problems in Linear Plate Theory.
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The aim of this paper is to develop a finite element method which allows computing the buckling coefficients and modes of a non-homogeneous Timoshenko beam. Studying the spectral properties of a non-compact operator, we show that the relevant buckling coefficients correspond to isolated eigenvalues of finite multiplicity. Optimal order error estimates are proved for the eigenfunctions as well as a double order of convergence for the eigenvalues using classical abstract spectral approximation...
A locking-free finite element method for the buckling problem of a non-homogeneous Timoshenko beam
Carlo Lovadina, David Mora, Rodolfo Rodríguez (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
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The aim of this paper is to develop a finite element method which allows computing the buckling coefficients and modes of a non-homogeneous Timoshenko beam. Studying the spectral properties of a non-compact operator, we show that the relevant buckling coefficients correspond to isolated eigenvalues of finite multiplicity. Optimal order error estimates are proved for the eigenfunctions as well as a double order of convergence for the eigenvalues using classical abstract spectral approximation...
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