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
Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

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 
@article{M2AN_2002__36_1_1_0,
     author = {Bhattacharyya, Pulin Kumar and Nataraj, Neela},
     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},
     year = {2002},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {1},
     doi = {10.1051/m2an:2002001},
     mrnumber = {1916290},
     zbl = {0993.35031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002001/}
}
TY  - JOUR
AU  - Bhattacharyya, Pulin Kumar
AU  - Nataraj, Neela
TI  - Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2002
SP  - 1
EP  - 32
VL  - 36
IS  - 1
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002001/
DO  - 10.1051/m2an:2002001
LA  - en
ID  - M2AN_2002__36_1_1_0
ER  - 
%0 Journal Article
%A Bhattacharyya, Pulin Kumar
%A Nataraj, Neela
%T Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2002
%P 1-32
%V 36
%N 1
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002001/
%R 10.1051/m2an:2002001
%G en
%F M2AN_2002__36_1_1_0
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

Cité par Sources :