An adaptive finite element method for second‐order plate theory | Zendy

Hansbo Peter | Zendy; Heintz David | Zendy; Larson Mats G. | Zendy

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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.

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