139 citations · 139 across the 1 of their papers we have counts for
3 papers
Space-time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting
Olindo Zanotti, Francesco Fambri, Michael Dumbser +1
In this paper we present a novel arbitrary high order accurate discontinuous Galerkin (DG) finite element method on space-time adaptive Cartesian meshes (AMR) for hyperbolic conser…
High Order Space-Time Adaptive WENO Finite Volume Schemes for Non-Conservative Hyperbolic Systems
Michael Dumbser, Arturo Hidalgo, Olindo Zanotti
We present a class of high order finite volume schemes for the solution of non-conservative hyperbolic systems that combines the one-step ADER-WENO finite volume approach with spac…
ADER-WENO Finite Volume Schemes with Space-Time Adaptive Mesh Refinement
Michael Dumbser, Olindo Zanotti, Arturo Hidalgo +1
We present the first high order one-step ADER-WENO finite volume scheme with Adaptive Mesh Refinement (AMR) in multiple space dimensions. High order spatial accuracy is obtained th…