Volume 56, Number 4, July-August 2022
|Page(s)||1307 - 1326|
|Published online||27 June 2022|
Stabilized finite elements for Tresca friction problem
Aalto University, Department of Mathematics and Systems Analysis, P.O. Box 11100, FI-00076 Aalto, Finland
2 CAMGSD and Mathematics Department, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001 Lisboa, Portugal
* Corresponding author: firstname.lastname@example.org
Accepted: 6 July 2022
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.
Mathematics Subject Classification: 65N30
Key words: Finite elements / frictional contact / Nitsche’s method / a posteriori error analysis
© The authors. Published by EDP Sciences, SMAI 2022
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