An adaptive finite element method for second order plate theory
Journal article, 2010
We present a discontinuous finite element method for the Kirchhoff plate model with membrane stresses. The method is based on P2-approximations on simplices for the out-of-plane deformations, using C0-continuous approximations. We derive a posteriori error estimates for linear functionals of the error and give some numerical examples.
adaptivity
Kirchhoff plate
second-order theory
Author
Peter F G Hansbo
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
David Heintz
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
Mats G Larson
Umeå University
International Journal for Numerical Methods in Engineering
0029-5981 (ISSN) 1097-0207 (eISSN)
Vol. 81 5 584-603Subject Categories
Applied Mechanics
Computational Mathematics
DOI
10.1002/nme.2704