@inbook{b343a3254bf04cd6872599b4cf2fc8fd,
title = "Contact and Friction",
abstract = "In this chapter, we show how the HHO method can be used to discretize a linear elasticity problem with nonlinear boundary conditions resulting from contact and friction. The main idea is to use a boundary penalty technique to enforce these conditions. This approach leads, under some assumptions, to a discrete semilinear form enjoying a monotonicity property. The error analysis reveals that the degree of the face unknowns on the contact/friction boundary has to be raised to (k+ 1 ) to ensure optimal estimates.",
author = "Matteo Cicuttin and Alexandre Ern and Nicolas Pignet",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2021",
month = jan,
day = "1",
doi = "10.1007/978-3-030-81477-9\_6",
language = "English",
series = "SpringerBriefs in Mathematics",
publisher = "Springer Science and Business Media B.V.",
pages = "85--95",
booktitle = "SpringerBriefs in Mathematics",
}