Add to ORKGIn this work we construct reliable a posteriori estimates for some discontinuous Galerkin schemes applied to nonlinear systems of hyperbolic conservation laws. We make use of appropriate reconstructions of the discrete solution together with the relative entropy stability framework. The methodology we use is quite general and allows for a posteriori control of discontinuous Galerkin schemes with standard flux choices which appear in the approximation of conservation laws. In addition to the analysis, we conduct some numerical benchmarking to test the robustness of the resultant estimator.Comment: 20 pages, 3 table
We show how to modify the original Bassi and Rebay scheme (BR1)[F. Bassi and S. Rebay, A High Order ...
A novel approach for the stabilization of the discontinuous Galerkin method based on the Dafermos en...
In this work a non-conservative balance law formulation is considered that encompasses the rotating,...
In this work we construct reliable a posteriori estimates for some semi- (spatially) discrete discon...
We present reliable a posteriori estimators for some fully discrete schemes applied to nonlinear sys...
In this work we construct reliable a posteriori estimates for some semi- (spatially) discrete disco...
A posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws ...
This work examines the development of an entropy conservative (for smooth solutions) or entropy stab...
Statistical solutions have recently been introduced as a an alternative solution framework for hyper...
This paper presents an hp-adaptive discontinuous Galerkin method for linear hyperbolic conservation ...
Despite the classical well-posedness theorem for entropy weak solutions of scalar conservation laws,...
We are interested in the approximation of a steady hyperbolic problem. In some cases, the solution c...
We present a streamline diffusion shock capturing spacetime discontinuous Galerkin (DG) method to ap...
We are interested in the discretisation of the steady version of hyperbolic problems. We first show ...
We give an a posteriori analysis of a semi-discrete discontinuous Galerkin scheme approximating solu...
We show how to modify the original Bassi and Rebay scheme (BR1)[F. Bassi and S. Rebay, A High Order ...
A novel approach for the stabilization of the discontinuous Galerkin method based on the Dafermos en...
In this work a non-conservative balance law formulation is considered that encompasses the rotating,...
In this work we construct reliable a posteriori estimates for some semi- (spatially) discrete discon...
We present reliable a posteriori estimators for some fully discrete schemes applied to nonlinear sys...
In this work we construct reliable a posteriori estimates for some semi- (spatially) discrete disco...
A posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws ...
This work examines the development of an entropy conservative (for smooth solutions) or entropy stab...
Statistical solutions have recently been introduced as a an alternative solution framework for hyper...
This paper presents an hp-adaptive discontinuous Galerkin method for linear hyperbolic conservation ...
Despite the classical well-posedness theorem for entropy weak solutions of scalar conservation laws,...
We are interested in the approximation of a steady hyperbolic problem. In some cases, the solution c...
We present a streamline diffusion shock capturing spacetime discontinuous Galerkin (DG) method to ap...
We are interested in the discretisation of the steady version of hyperbolic problems. We first show ...
We give an a posteriori analysis of a semi-discrete discontinuous Galerkin scheme approximating solu...
We show how to modify the original Bassi and Rebay scheme (BR1)[F. Bassi and S. Rebay, A High Order ...
A novel approach for the stabilization of the discontinuous Galerkin method based on the Dafermos en...
In this work a non-conservative balance law formulation is considered that encompasses the rotating,...