@inbook{5d16071bf5dd4966a8bf7f52d9aebb7f,
title = "Stress-Based Methods for Quasi-Variational Inequalities Associated with Frictional Contact",
abstract = "The stress-based formulation of elastic contact with Coulomb friction in the form of a quasi-variational inequality is investigated. Weakly symmetric stress approximations are constructed using a finite element combination on the basis of Raviart–Thomas spaces of next-to-lowest order. An error estimator is derived based on a displacement reconstruction and proved to be reliable under certain assumptions on the solution formulated in terms of a norm equivalence in the trace space H1∕2(Γ). Numerical results illustrate the effectiveness of the adaptive refinement strategy for a Hertzian frictional contact problem in the compressible as well as in the incompressible case.",
keywords = "A posteriori error estimation, Coulomb friction, Quasi-variational inequality",
author = "Bernhard Kober and Gerhard Starke and Rolf Krause and Gabriele Rovi",
note = "Publisher Copyright: {\textcopyright} 2022, Springer Nature Switzerland AG.",
year = "2022",
doi = "10.1007/978-3-030-79393-7_18",
language = "English (US)",
series = "International Series of Numerical Mathematics",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "445--466",
booktitle = "International Series of Numerical Mathematics",
address = "Germany",
}