356 citations · 4.2k across the 89 of their papers we have counts for
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A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes
Maurizio Tavelli, Michael Dumbser
In this paper we propose a novel arbitrary high order accurate semi-implicit space-time discontinuous Galerkin method for the solution of the two dimensional incompressible Navier-…
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 numerical simulations of the Richtmyer Meshkov instability in a relativistic fluid
Olindo Zanotti, Michael Dumbser
We study the Richtmyer--Meshkov (RM) instability of a relativistic perfect fluid by means of high order numerical simulations with adaptive mesh refinement (AMR). The numerical sch…
High Order Cell-Centered Lagrangian-Type Finite Volume Schemes with Time-Accurate Local Time Stepping on Unstructured Triangular Meshes
Walter Boscheri, Michael Dumbser, Olindo Zanotti
We present a novel cell-centered direct Arbitrary-Lagrangian-Eulerian (ALE) finite volume scheme on unstructured triangular meshes that is high order accurate in space and time and…
A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations
Maurizio Tavelli, Michael Dumbser
In this paper we propose a new spatially high order accurate semi-implicit discontinuous Galerkin (DG) method for the solution of the two dimensional incompressible Navier-Stokes e…
A Posteriori Subcell Limiting of the Discontinuous Galerkin Finite Element Method for Hyperbolic Conservation Laws
Michael Dumbser, Olindo Zanotti, Raphael Loubere +1
The purpose of this work is to propose a novel a posteriori finite volume subcell limiter technique for the Discontinuous Galerkin finite element method for nonlinear systems of hy…