5 papers
Stabilizing Discontinuous Galerkin Methods Using Dafermos' Entropy Rate Criterion: II -- Systems of Conservation Laws and Entropy Inequality Predictors
Simon-Christian Klein
A novel approach for the stabilization of the Discontinuous Galerkin method based on the Dafermos entropy rate crition is presented. First, estimates for the maximal possible entro…
Entropy-aware non-oscillatory high-order finite volume methods using the Dafermos entropy rate criterion
Simon-Christian Klein, Thomas Sonar
Finite volume methods are popular tools for solving time-dependent partial differential equations, especially hyperbolic conservation laws. Over the past 40 years a popular way of…
Entropy conservative high-order fluxes in the presence of boundaries
Simon-Christian Klein, Philipp Öffner
In this paper, we propose a novel development in the context of entropy stable finite-volume/finite-difference schemes. In the first part, we focus on the construction of high-orde…
Stabilizing discontinuous Galerkin methods using Dafermos' entropy rate criterion
Simon-Christian Klein
A novel approach for the stabilization of the discontinuous Galerkin method based on the Dafermos entropy rate crition is presented. The approach is centered around the efficient s…
Using the Dafermos Entropy Rate Criterion in Numerical Schemes
Simon-Christian Klein
The following work concerns the construction of an entropy dissipative finite volume solver based on the convex combination of an entropy conservative and an entropy dissipative fl…