A PIECEWISE LINEAR FINITE ELEMENT METHOD FOR THE BUCKLING AND THE VIBRATION PROBLEMS OF THIN PLATES

Mora, D; Rodriguez, R

Abstract

The aim of this paper is to analyze a piecewise linear nite element method to approximate the buckling and the vibration problems of a thin plate. The method is based on a conforming discretization of a bending moment formulation for the Kirchhoff-Love model. The analysis restricts to simply connected polygonal clamped plates, not necessarily convex. The method is proved to converge with optimal order for both spectral problems, including an improved order for the eigenvalues. Numerical experiments are reported to assess its performance and to compare it with other low-order nite element methods. © 2009 American Mathematical Society.

Más información

Título según WOS: A PIECEWISE LINEAR FINITE ELEMENT METHOD FOR THE BUCKLING AND THE VIBRATION PROBLEMS OF THIN PLATES
Título según SCOPUS: A piecewise linear finite element method for the buckling and the vibration problems of thin plates
Título de la Revista: MATHEMATICS OF COMPUTATION
Volumen: 78
Número: 268
Editorial: AMER MATHEMATICAL SOC
Fecha de publicación: 2009
Página de inicio: 1891
Página final: 1917
Idioma: English
Notas: ISI, SCOPUS