Volume 33, Number 4, July August 1999
|Page(s)||807 - 836|
|Published online||15 August 2002|
On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 4th order elliptic problems with variable coefficients
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.
2 Research Scholar, Department of Mathematics, Indian Institute of Technology, New Delhi 110016, India. firstname.lastname@example.org.
Revised: 23 October 1998
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 and displacement field 'u', have been developed considering the combined effect of boundary approximation and numerical integration.
Mathematics Subject Classification: 35J40 / 65N30
Key words: Mixed finite element method / fourth order equations / convergence analysis.
© EDP Sciences, SMAI, 1999
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