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.
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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 |
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