Volume 36, Number 1, January/February 2002
|Page(s)||1 - 32|
|Published online||15 April 2002|
Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
Visiting Professor, School of Computer and Systems Sciences, Jawaharlal Nehru University, New Delhi: 110067, India. firstname.lastname@example.org.
2 Lecturer, Department of Mathematics, Indian Institute of Technology, New Delhi, 110016, India. email@example.com.
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.