@inbook{8f00f1bef232443aa7865a95250a7d70,
title = "Elastodynamics",
abstract = "The goal of this chapter is to show how the HHO method can be used for the space semi-discretization of the elastic wave equation. For simplicity, we restrict the scope to media undergoing infinitesimal deformations and governed by a linear stress-strain constitutive relation. We consider first the second-order formulation in time and then the mixed formulation leading to a first-order formulation in time. The time discretization is realized, respectively, by means of Newmark schemes and diagonally-implicit or explicit Runge–Kutta schemes. Interestingly, considering the mixed-order HHO method is instrumental to devise explicit Runge–Kutta schemes.",
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\_5",
language = "English",
series = "SpringerBriefs in Mathematics",
publisher = "Springer Science and Business Media B.V.",
pages = "71--83",
booktitle = "SpringerBriefs in Mathematics",
}