Abstract
We survey the Nitsche’s master-slave finite element method for elastic contact problems analysed in Gustafsson et al. (SIAM J Sci Comput 42:B425–B446, 2020). The main steps of the error analysis are recalled and numerical benchmark computations are presented.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
F. Chouly, M. Fabre, P. Hild, R. Mlika, J. Pousin, and Y. Renard, An overview of recent results on Nitsche’s method for contact problems, in Geometrically Unfitted Finite Element Methods and Applications, S. Bordas, E. Burman, M. Larson, and M. Olshanskii, eds., vol. 121 of Lecture Notes in Computational Science and Engineering, Springer, 2017, pp. 93–141.
T. Gustafsson, R. Stenberg, J. Videman. On Nitsche’s method for elastic contact problems. SIAM Journal of Scientific Computing. 42 (2020) B425–B446.
Acknowledgements
This work was (partially) funded by the Portuguese government through FCT—Fundação para a Ciência e a Tecnologia, I.P., under the projects PTDC/MAT-PUR/28686/2017, and UID/MAT/04459/2013, and by the Academy of Finland, decision nr. 324611.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Gustafsson, T., Stenberg, R., Videman, J. (2021). Nitsche’s Master-Slave Method for Elastic Contact Problems. In: Vermolen, F.J., Vuik, C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham. https://doi.org/10.1007/978-3-030-55874-1_89
Download citation
DOI: https://doi.org/10.1007/978-3-030-55874-1_89
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-55873-4
Online ISBN: 978-3-030-55874-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)