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

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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 Ψ=(ψ ij ) 1≤i,j≤2 and displacement field ‘u’, have been developed.

DOI : 10.1051/m2an:2002001
Classification : 35J40, 65N30, 35P99, 74H45
Keywords: mixed FEM, eigenvalue problem, isoparametric boundary approximation, 4th-order equations, anisotropic plates, convergence analysis, numerical results 
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     title = {Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1--32},
     publisher = {EDP-Sciences},
     volume = {36},
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     year = {2002},
     doi = {10.1051/m2an:2002001},
     mrnumber = {1916290},
     zbl = {0993.35031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002001/}
}
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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 , Tome 36 (2002) no. 1, pp. 1-32. doi: 10.1051/m2an:2002001

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