We formulate and analyze a Nitsche-type algorithm for frictional contact problems. The method is derived from, and analyzed as, a stabilized finite element method and shown to be quasi-optimal, as well as suitable as an adaptive scheme through an a posteriori error analysis. The a posteriori error indicators are validated in a numerical experiment.
Keywords: Finite elements, frictional contact, Nitsche’s method, $$ error analysis
@article{M2AN_2022__56_4_1307_0,
author = {Gustafsson, Tom and Videman, Juha},
title = {Stabilized finite elements for {Tresca} friction problem},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {1307--1326},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {4},
doi = {10.1051/m2an/2022048},
mrnumber = {4444529},
zbl = {1497.65227},
language = {en},
url = {https://www.numdam.org/articles/10.1051/m2an/2022048/}
}
TY - JOUR AU - Gustafsson, Tom AU - Videman, Juha TI - Stabilized finite elements for Tresca friction problem JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2022 SP - 1307 EP - 1326 VL - 56 IS - 4 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/m2an/2022048/ DO - 10.1051/m2an/2022048 LA - en ID - M2AN_2022__56_4_1307_0 ER -
%0 Journal Article %A Gustafsson, Tom %A Videman, Juha %T Stabilized finite elements for Tresca friction problem %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2022 %P 1307-1326 %V 56 %N 4 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/m2an/2022048/ %R 10.1051/m2an/2022048 %G en %F M2AN_2022__56_4_1307_0
Gustafsson, Tom; Videman, Juha. Stabilized finite elements for Tresca friction problem. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 56 (2022) no. 4, pp. 1307-1326. doi: 10.1051/m2an/2022048
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