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On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 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. pulinkum@hotmail.com.
Neela Nataraj
Affiliation:
Research Scholar, Department of Mathematics, Indian Institute of Technology, New Delhi 110016, India. neela@maths.iitd.ernet.in.
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Abstract

Error estimates for the mixed finite element solution of 4th 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 tensor field $\Psi= (\psi_{ij})_{1 \le i,j \le 2}$ 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

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