A posteriori estimates for conforming Kirchhoff plate elements

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Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Author
Date
2018
Department
Department of Mathematics and Systems Analysis
Universidade Lisboa
Major/Subject
Mcode
Degree programme
Language
en
Pages
22
A1386-A1407
Series
SIAM Journal on Scientific Computing, Volume 40, issue 3
Abstract
We derive a residual a posteriori estimator for the Kirchhoff plate bending problem. We consider the problem with a combination of clamped, simply supported, and free boundary conditions subject to both distributed and concentrated (point and line) loads. Extensive numerical computations are presented to verify the functionality of the estimators.
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Keywords
Kirchhoff plate, C-1 elements, a posteriori estimates, DISCONTINUOUS GALERKIN METHOD, C-0 FINITE-ELEMENTS, BOUNDARY-CONDITIONS, ERROR ESTIMATOR, PENALTY METHOD, APPROXIMATIONS, FAMILY
DOI
10.1137/17M1137334
Citation
Gustafsson , T , Stenberg , R & Videman , J 2018 , ' A posteriori estimates for conforming Kirchhoff plate elements ' , SIAM Journal on Scientific Computing , vol. 40 , no. 3 , pp. A1386-A1407 . https://doi.org/10.1137/17M1137334
Permanent link to this item
https://urn.fi/URN:NBN:fi:aalto-201902251897
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[article-cris] Perustieteiden korkeakoulu / SCI