Theoretical studies and numerical experiments suggest that unstructured high-order
methods can provide solutions to otherwise intractable fluid flow problems within complex …

In this article, a conservative least-squares polynomial reconstruction operator is applied to
the discontinuous Galerkin method. In a first instance, piecewise polynomials of degree N …

In this paper, we investigate the accuracy and efficiency of discontinuous Galerkin spectral
method simulations of under‐resolved transitional and turbulent flows at moderate Reynolds …

A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …

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 work we show that the flexibility of the discontinuous Galerkin (dG) discretization can
be fruitfully exploited to implement numerical solution strategies based on the use of …

In this paper, we propose a new unified family of arbitrary high order accurate explicit one-
step finite volume and discontinuous Galerkin schemes on unstructured triangular and …

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 …

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 …