Burman, E;
Hansbo, P;
Larson, MG;
(2017)
The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem.
SIAM Journal on Numerical Analysis
, 55
(6)
pp. 2523-2539.
10.1137/16M107846X.
Preview |
Text
Burman_The Penalty Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem_VoR.pdf - Published Version Download (342kB) | Preview |
Abstract
We design and analyse a Nitsche method for contact problems. Compared to the seminal work of Chouly and Hild [SIAM J. Numer. Anal., 51 (2013), pp. 1295--1307], our method is constructed by expressing the contact conditions in a nonlinear function for the displacement variable instead of the lateral forces. The contact condition is then imposed using the nonsymmetric variant of Nitsche's method that does not require a penalty term for stability. Nonconforming piecewise affine elements are considered for the bulk discretization. We prove optimal error estimates in the energy norm.
Type: | Article |
---|---|
Title: | The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1137/16M107846X |
Publisher version: | https://doi.org/10.1137/16M107846X |
Language: | English |
Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
Keywords: | finite element, Nitsche's method, contact, Signorini problem |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
URI: | https://discovery.ucl.ac.uk/id/eprint/1518353 |
1. | United States | 7 |
2. | United Kingdom | 2 |
3. | Germany | 2 |
4. | Korea, Republic of | 2 |
5. | India | 2 |
6. | Indonesia | 1 |
7. | Vietnam | 1 |
8. | France | 1 |
9. | Iran, Islamic Republic of | 1 |
10. | Romania | 1 |
Archive Staff Only
View Item |