A Nonconforming Finite Element Approximation for the von Karman equations
Mallik, Gouranga1 ; Nataraj, Neela1
1 Department of Mathematics, Indian Institute of Technology Bombay Powai, 400076 Mumbai, India
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 50 (2016) no. 2, pp. 433-454.

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 H 1 norms are derived under minimal regularity assumptions. Numerical results that justify the theoretical results are presented.

Reçu le :
DOI : 10.1051/m2an/2015052
Classification : 35J61, 65N12, 65N30
Mots-clés : Von Kármán equations, Morley element, plate bending, non-linear, error estimates
Mallik, Gouranga 1 ; Nataraj, Neela 1

1 Department of Mathematics, Indian Institute of Technology Bombay Powai, 400076 Mumbai, India 
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Mallik, Gouranga; Nataraj, Neela. A Nonconforming Finite Element Approximation for the von Karman equations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 50 (2016) no. 2, pp. 433-454. doi : 10.1051/m2an/2015052. http://archive.numdam.org/articles/10.1051/m2an/2015052/

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