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An a posteriori analysis of C0 interior penalty methods for the obstacle problem of clamped Kirchhoff plates

We develop an a posteriori analysis of C0 interior penalty methods for the displacement obstacle problem of clamped Kirchhoff plates. We show that a residual based error estimator originally designed for $C^0$ interior penalty methods for the boundary value problem of clamped Kirchhoff plates can a...

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Bibliographic Details
Main Authors: Brenner, Susanne C. (Author) , Gedicke, Joscha (Author) , Sung, Li-Yeng (Author) , Zhang, Yi (Author)
Format: Article (Journal)
Language:English
Published: January 12, 2017
In: SIAM journal on numerical analysis
Year: 2017, Volume: 55, Issue: 1, Pages: 87-108
ISSN:1095-7170
DOI:10.1137/15M1039444
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1137/15M1039444
Verlag, lizenzpflichtig, Volltext: https://epubs.siam.org/doi/10.1137/15M1039444
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Author Notes:Susanne C. Brenner, Joscha Gedicke, Li-Yeng Sung, and Yi Zhang
Description
Summary:We develop an a posteriori analysis of C0 interior penalty methods for the displacement obstacle problem of clamped Kirchhoff plates. We show that a residual based error estimator originally designed for $C^0$ interior penalty methods for the boundary value problem of clamped Kirchhoff plates can also be used for the obstacle problem. We obtain reliability and efficiency estimates for the error estimator and introduce an adaptive algorithm based on this error estimator. Numerical results indicate that the performance of the adaptive algorithm is optimal for both quadratic and cubic C0 interior penalty methods.
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Gesehen am 23.11.2020
Physical Description:Online Resource
ISSN:1095-7170
DOI:10.1137/15M1039444

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