Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 1, pp. 1-32.

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 $\Psi ={\left({\psi }_{ij}\right)}_{1\le i,j\le 2}$ and displacement field ‘u’, have been developed.

DOI : https://doi.org/10.1051/m2an:2002001
Classification : 35J40,  65N30,  35P99,  74H45
Mots clés : mixed FEM, eigenvalue problem, isoparametric boundary approximation, 4th-order equations, anisotropic plates, convergence analysis, numerical results
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Bhattacharyya, Pulin Kumar; Nataraj, Neela. Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 1, pp. 1-32. doi : 10.1051/m2an:2002001. http://www.numdam.org/articles/10.1051/m2an:2002001/

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