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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 3/2020

01.06.2020

A Posteriori Error Estimates of Virtual Element Method for a Simplified Friction Problem

verfasst von: Yanling Deng, Fei Wang, Huayi Wei

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2020

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Abstract

We study a posteriori error analysis of the virtual element method (VEM) for a simplified friction problem, which is a representative elliptic variational inequality of the second kind. By treating hanging nodes as vertices of polygonal elements, the virtual element method does not require any local mesh post-processing after the adaptive mesh refinement. In this work, residual type error estimators are derived for designing adaptive VEM to solve the simplified friction problem. Furthermore, the reliability and efficiency of the error estimators are proved. Finally, a numerical example is given to verify the theoretical results.
Vorheriger Artikel Mixed FEM for Time-Fractional Diffusion Problems with Time-Dependent Coefficients
Nächster Artikel Multiplicative Algorithms for Symmetric Nonnegative Tensor Factorizations and Its Applications

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Metadaten
Titel
A Posteriori Error Estimates of Virtual Element Method for a Simplified Friction Problem
verfasst von
Yanling Deng
Fei Wang
Huayi Wei
Publikationsdatum
01.06.2020
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 3/2020
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-020-01242-9

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