Premium
An adaptive finite element method for second‐order plate theory
Author(s) -
Hansbo Peter,
Heintz David,
Larson Mats G.
Publication year - 2009
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2704
Subject(s) - finite element method , a priori and a posteriori , mathematics , mixed finite element method , order (exchange) , approximations of π , plane (geometry) , extended finite element method , element (criminal law) , mathematical analysis , geometry , structural engineering , engineering , philosophy , epistemology , finance , political science , law , economics
We present a discontinuous finite element method for the Kirchhoff plate model with membrane stresses. The method is based on P 2 ‐approximations on simplices for the out‐of‐plane deformations, using C 0 ‐continuous approximations. We derive a posteriori error estimates for linear functionals of the error and give some numerical examples. Copyright © 2009 John Wiley & Sons, Ltd.