| Issue |
ESAIM: M2AN
Volume 36, Number 1, January/February 2002
|
|
|---|---|---|
| Page(s) | 1 - 32 | |
| DOI | https://doi.org/10.1051/m2an:2002001 | |
| Published online | 15 April 2002 | |
Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
1
Visiting Professor, School of Computer and Systems Sciences, Jawaharlal Nehru University, New Delhi: 110067, India. pulinkum@hotmail.com.
2
Lecturer, Department of Mathematics, Indian Institute of Technology, New Delhi, 110016, India. neela@maths.iitd.ernet.in.
Received:
5
May
2001
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 
and
displacement field `u', have been developed.
Mathematics Subject Classification: 35J40 / 65N30 / 35P99 / 74H45
Key words: Mixed FEM / eigenvalue problem / isoparametric boundary approximation / 4th-order equations / anisotropic plates / convergence analysis / numerical results.
© EDP Sciences, SMAI, 2002
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