Nitsche's Method for Kirchhoff Plates

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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.

Original languageEnglish
Pages (from-to)A1651–A1670
Number of pages20
JournalSIAM Journal on Scientific Computing
Volume43
Issue number3
DOIs
Publication statusPublished - Jan 2021
MoE publication typeA1 Journal article-refereed

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