Archivio Istituzionale della RicercaThe 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.
Elastodynamics / Cicuttin, M.; Ern, A.; Pignet, N. (SPRINGERBRIEFS IN MATHEMATICS). - In: Hybrid High-Order Methods. A Primer with Applications to Solid Mechanics[s.l] : Springer Science and Business Media B.V., 2021. - ISBN 978-3-030-81476-2. - pp. 71-83 [10.1007/978-3-030-81477-9_5]
Elastodynamics
Cicuttin M.;
2021
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.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2979184