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 …

This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …

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 …

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 …

In this paper we propose a simple, robust and accurate nonlinear a posteriori stabilization of
the Discontinuous Galerkin (DG) finite element method for the solution of nonlinear …

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 …

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 …

In this paper we propose a new reformulation of the first order hyperbolic model for unsteady
turbulent shallow water flows recently proposed in Gavrilyuk et al.(J Comput Phys 366: 252 …

In this paper a new hybrid semi-implicit finite volume/finite element (FV/FE) scheme is
presented for the numerical solution of the compressible Euler and Navier–Stokes equations …

In this paper we present a new family of high order accurate Arbitrary-Lagrangian–Eulerian
(ALE) one-step ADER-WENO finite volume schemes for the solution of nonlinear systems of …