The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem
Publication type: Journal Article
Publication date: 2017-11-02
scimago Q1
wos Q1
SJR: 2.312
CiteScore: 4.7
Impact factor: 2.9
ISSN: 00361429, 10957170
Computational Mathematics
Applied Mathematics
Numerical Analysis
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.
Found
Nothing found, try to update filter.
Found
Nothing found, try to update filter.
Top-30
Journals
|
1
2
|
|
|
International Journal for Numerical Methods in Engineering
2 publications, 14.29%
|
|
|
SIAM Journal on Numerical Analysis
1 publication, 7.14%
|
|
|
SIAM Journal of Scientific Computing
1 publication, 7.14%
|
|
|
Calcolo
1 publication, 7.14%
|
|
|
Numerische Mathematik
1 publication, 7.14%
|
|
|
Applied Numerical Mathematics
1 publication, 7.14%
|
|
|
International Journal of Heat and Mass Transfer
1 publication, 7.14%
|
|
|
Computer Methods in Applied Mechanics and Engineering
1 publication, 7.14%
|
|
|
IMA Journal of Numerical Analysis
1 publication, 7.14%
|
|
|
Lecture Notes in Computational Science and Engineering
1 publication, 7.14%
|
|
|
Advances in Mechanics and Mathematics
1 publication, 7.14%
|
|
|
Vietnam Journal of Mathematics
1 publication, 7.14%
|
|
|
1
2
|
Publishers
|
1
2
3
4
5
|
|
|
Springer Nature
5 publications, 35.71%
|
|
|
Elsevier
3 publications, 21.43%
|
|
|
Wiley
3 publications, 21.43%
|
|
|
Society for Industrial and Applied Mathematics (SIAM)
2 publications, 14.29%
|
|
|
Oxford University Press
1 publication, 7.14%
|
|
|
1
2
3
4
5
|
- We do not take into account publications without a DOI.
- Statistics recalculated weekly.
Are you a researcher?
Create a profile to get free access to personal recommendations for colleagues and new articles.
Metrics
14
Total citations:
14
Citations from 2024:
2
(14.29%)
The most citing journal
Citations in journal:
2
Cite this
GOST |
RIS |
BibTex |
MLA
Cite this
GOST
Copy
Burman E., Hansbo P., Larson M. G. The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem // SIAM Journal on Numerical Analysis. 2017. Vol. 55. No. 6. pp. 2523-2539.
GOST all authors (up to 50)
Copy
Burman E., Hansbo P., Larson M. G. The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem // SIAM Journal on Numerical Analysis. 2017. Vol. 55. No. 6. pp. 2523-2539.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1137/16m107846x
UR - https://doi.org/10.1137/16m107846x
TI - The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem
T2 - SIAM Journal on Numerical Analysis
AU - Burman, Erik
AU - Hansbo, Peter
AU - Larson, Mats G.
PY - 2017
DA - 2017/11/02
PB - Society for Industrial and Applied Mathematics (SIAM)
SP - 2523-2539
IS - 6
VL - 55
SN - 0036-1429
SN - 1095-7170
ER -
Cite this
BibTex (up to 50 authors)
Copy
@article{2017_Burman,
author = {Erik Burman and Peter Hansbo and Mats G. Larson},
title = {The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem},
journal = {SIAM Journal on Numerical Analysis},
year = {2017},
volume = {55},
publisher = {Society for Industrial and Applied Mathematics (SIAM)},
month = {nov},
url = {https://doi.org/10.1137/16m107846x},
number = {6},
pages = {2523--2539},
doi = {10.1137/16m107846x}
}
Cite this
MLA
Copy
Burman, Erik, et al. “The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem.” SIAM Journal on Numerical Analysis, vol. 55, no. 6, Nov. 2017, pp. 2523-2539. https://doi.org/10.1137/16m107846x.