85 citations · 157 across the 4 of their papers we have counts for
5 papers
A unified first order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones
Alice-Agnes Gabriel, Duo Li, Simone Chiocchetti +4
Earthquake fault zones are more complex, both geometrically and rheologically, than an idealised infinitely thin plane embedded in linear elastic material. To incorporate nonlinear…
On numerical methods for hyperbolic PDE with curl involutions
Michael Dumbser, Simone Chiocchetti, Ilya Peshkov
In this paper we present three different numerical approaches to account for curl-type involution constraints in hyperbolic partial differential equations for continuum physics. Al…
A solver for stiff finite-rate relaxation in Baer-Nunziato two-phase flow models
Simone Chiocchetti, Christoph Müller
In this paper we present a technique for constructing robust solvers for stiff algebraic source terms, such as those typically used for modelling relaxation processes in hyperbolic…
High order ADER schemes for continuum mechanics
Saray Busto, Simone Chiocchetti, Michael Dumbser +2
In this paper we first review the development of high order ADER finite volume and ADER discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in 1999…
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes
Elena Gaburro, Walter Boscheri, Simone Chiocchetti +3
We present a new family of very high order accurate direct Arbitrary-Lagrangian-Eulerian (ALE) Finite Volume (FV) and Discontinuous Galerkin (DG) schemes for the solution of nonlin…