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. email@example.com.
2 Lecturer, Department of Mathematics, Indian Institute of Technology, New Delhi, 110016, India. firstname.lastname@example.org.
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