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Residual error estimation for anisotropic Kirchhoff plates.

Authors :
Weise, Michael
Source :
Applied Numerical Mathematics. Mar2018, Vol. 125, p10-22. 13p.
Publication Year :
2018

Abstract

Residual error estimation for conforming finite element discretisations of the isotropic Kirchhoff plate problem is covered by an estimator of Verfürth for the related biharmonic equation. This article generalises Verfürth's result to Kirchhoff plates with an anisotropic material, which requires some modifications. Special emphasis is laid on the reduced Hsieh–Clough–Tocher triangular finite element, the conforming element with the least possible number of unknowns. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01689274
Volume :
125
Database :
Academic Search Index
Journal :
Applied Numerical Mathematics
Publication Type :
Academic Journal
Accession number :
126736905
Full Text :
https://doi.org/10.1016/j.apnum.2017.10.007