| Issue |
ESAIM: M2AN
Volume 33, Number 4, July August 1999
|
|
|---|---|---|
| Page(s) | 807 - 836 | |
| DOI | https://doi.org/10.1051/m2an:1999165 | |
| 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
1
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.
2
Research Scholar, Department of Mathematics, Indian Institute of
Technology, New Delhi 110016, India. neela@maths.iitd.ernet.in.
Received:
6
January
1998
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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