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Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients

Published online by Cambridge University Press:  15 April 2002

Pulin Kumar Bhattacharyya  and
Neela Nataraj
Pulin Kumar Bhattacharyya
Affiliation:
Visiting Professor, School of Computer and Systems Sciences, Jawaharlal Nehru University, New Delhi: 110067, India. pulinkum@hotmail.com.
Neela Nataraj
Affiliation:
Lecturer, Department of Mathematics, Indian Institute of Technology, New Delhi, 110016, India. neela@maths.iitd.ernet.in.
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Abstract

Estimates for the combined effect of boundary approximation and numerical integration on the approximation of (simple) eigenvalues and eigenvectors of 4th order eigenvalue problems with variable/constant coefficients in convex domains with curved boundary by an isoparametric mixed finite element method, which, in the particular case of bending problems of aniso-/ortho-/isotropic plates with variable/constant thickness, gives a simultaneous approximation to bending moment tensor field $\Psi= (\psi_{ij})_{1 \le i,j \le 2}$ and displacement field `u', have been developed.

Keywords

Mixed FEMeigenvalue problemisoparametric boundary approximation4th-order equationsanisotropic platesconvergence analysisnumerical results.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 1 , January 2002 , pp. 1 - 32
Copyright
© EDP Sciences, SMAI, 2002

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