Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-22T22:57:36.236Z Has data issue: false hasContentIssue false
  • English
  • Français

On the combined effect of boundary approximationand numerical integration on mixed finite element solutionof 4th order elliptic problems with variable coefficients

Published online by Cambridge University Press:  15 August 2002

Pulin K. Bhattacharyya  and
Neela Nataraj
Pulin K. Bhattacharyya
Affiliation:
Professor, Department of Mathematics, Indian Institute of Technology, New Delhi 110016, India. : Honorary Visiting Professor, School of Computer and Systems Sciences, Jawaharlal Nehru University, New Delhi 110067, India. [email protected].
Neela Nataraj
Affiliation:
Research Scholar, Department of Mathematics, Indian Institute of Technology, New Delhi 110016, India. [email protected].
Get access

Abstract

Error estimates for the mixed finite element solution of4th order elliptic problems with variable coefficients, which, in the particular case of aniso-/ortho-/isotropic plate bending problems, gives a direct, simultaneous approximation to bending moment tensorfield $\Psi= (\psi_{ij})_{1 \le i,j \le 2}$ and displacement field 'u', have been developed considering the combined effect of boundary approximation and numerical integration.

Keywords

Mixed finite element methodfourth order equationsconvergence analysis.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 4 , July 1999 , pp. 807 - 836
Copyright
© EDP Sciences, SMAI, 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)