Nitsche's Method for Kirchhoff Plates

Tom Gustafsson; Rolf Stenberg; Juha Videman

doi:10.1137/20M1349801

Nitsche's Method for Kirchhoff Plates

Tom Gustafsson, Rolf Stenberg, Juha Videman

Department of Mathematics and Systems Analysis

Universidade de Lisboa

Research output: Contribution to journal › Article › Scientific › peer-review

3 Citations (Scopus)

208 Downloads (Pure)

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 language	English
Pages (from-to)	A1651–A1670
Number of pages	20
Journal	SIAM Journal on Scientific Computing
Volume	43
Issue number	3
DOIs	https://doi.org/10.1137/20M1349801
Publication status	Published - May 2021
MoE publication type	A1 Journal article-refereed

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10.1137/20M1349801

Nitsche's Method for Kirchhoff Plates.20m1349801Final published version, 1.62 MB

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title = "Nitsche's Method for Kirchhoff Plates",

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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AB - 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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Nitsche's Method for Kirchhoff Plates

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-: Efficient finite element methods in continuum mechanics

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Nitsche's Method for Kirchhoff Plates

Abstract

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Projects

-: Efficient finite element methods in continuum mechanics

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