Nitsche's Method for Kirchhoff Plates

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Author
Date
2021-05
Department
Department of Mathematics and Systems Analysis
Universidade de Lisboa
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Mcode
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Language
en
Pages
20
A1651–A1670
Series
SIAM Journal on Scientific Computing, Volume 43, issue 3
Abstract
We introduce Nitsche's method for the numerical approximation of the Kirchhoff--Love plate equation under general Robin-type boundary conditions. We analyze the method by presenting a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are given to validate the approach and demonstrate its properties.
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DOI
10.1137/20M1349801
Citation
Gustafsson , T , Stenberg , R & Videman , J 2021 , ' Nitsche's Method for Kirchhoff Plates ' , SIAM Journal on Scientific Computing , vol. 43 , no. 3 , pp. A1651–A1670 . https://doi.org/10.1137/20M1349801
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https://urn.fi/URN:NBN:fi:aalto-202106027144
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[article-cris] Perustieteiden korkeakoulu / SCI