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2019 | OriginalPaper | Chapter

Nitsche’s Method for the Obstacle Problem of Clamped Kirchhoff Plates

Authors : Tom Gustafsson, Rolf Stenberg, Juha Videman

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2017

Publisher: Springer International Publishing

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Abstract

The theory behind Nitsche’s method for approximating the obstacle problem of clamped Kirchhoff plates is reviewed. A priori estimates and residual-based a posteriori error estimators are presented for the related conforming stabilised finite element method and the latter are used for adaptive refinement in a numerical experiment.

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previous chapter Goal-Oriented a Posteriori Error Estimates in Nearly Incompressible Linear Elasticity
next chapter Stochastic B-Series and Order Conditions for Exponential Integrators
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Metadata
Title
Nitsche’s Method for the Obstacle Problem of Clamped Kirchhoff Plates
Authors
Tom Gustafsson
Rolf Stenberg
Juha Videman
Copyright Year
2019
Book
Numerical Mathematics and Advanced Applications ENUMATH 2017

Print ISBN: 978-3-319-96414-0

Electronic ISBN: 978-3-319-96415-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-96415-7_36

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