4 papers
Stabilizing DG Methods Using Dafermos' Entropy Rate Criterion: III -- Unstructured Grids
Simon-Christian Klein
The approach presented in the second installment of this series is extended to multidimensional systems of conservation laws that are approximated via a Discontinuous Galerkin meth…
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…
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…