| Issue |
ESAIM: M2AN
Volume 58, Number 5, September-October 2024
|
|
|---|---|---|
| Page(s) | 1823 - 1851 | |
| DOI | https://doi.org/10.1051/m2an/2024066 | |
| Published online | 10 October 2024 | |
The mixed penalty method for the Signorini problem
1
Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610051, P.R. China
2
Institute of Fundamental and Frontier Sciences, School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610051, P.R. China
* Corresponding author: zhoug@uestc.edu.cn
Received:
29
October
2023
Accepted:
2
September
2024
We investigate two penalty approaches for the Signorini problem in the mixed form. The well-posedness theory has been established for the two mixed penalty problems in both the continuous and discrete sense. For the continuous case, we obtain the error of the penalty for both two approaches. We also study the error estimates of the discrete mixed penalty problems, which depend on the mesh size and the penalty parameter. Based on the two penalty approaches, we design two algorithms and show their convergence. Several numerical experiments are carried out to confirm the theoretical results.
Mathematics Subject Classification: 74M15 / 65N30 / 35J86 / 65K15
Key words: Signorini condition / mixed finite element method / penalty method
© The authors. Published by EDP Sciences, SMAI 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.