| Issue |
ESAIM: M2AN
Volume 50, Number 2, March-April 2016
|
|
|---|---|---|
| Page(s) | 433 - 454 | |
| DOI | https://doi.org/10.1051/m2an/2015052 | |
| Published online | 24 February 2016 | |
A Nonconforming Finite Element Approximation for the von Karman equations
Department of Mathematics, Indian Institute of Technology Bombay
Powai, 400076
Mumbai,
India
neela@math.iitb.ac.in; gouranga@math.iitb.ac.in
Received:
29
January
2015
Revised:
29
May
2015
In this paper, a nonconforming finite element method has been proposed and analyzed for the von Kármán equations that describe bending of thin elastic plates. Optimal order error estimates in broken energy and H1 norms are derived under minimal regularity assumptions. Numerical results that justify the theoretical results are presented.
Mathematics Subject Classification: 35J61 / 65N12 / 65N30
Key words: Von Kármán equations / Morley element / plate bending / non-linear / error estimates
© EDP Sciences, SMAI 2016
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