A posteriori error analysis of the discontinuous Galerkin method for two-dimensional linear hyperbolic conservation laws on Cartesian grids (Q333198)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A posteriori error analysis of the discontinuous Galerkin method for two-dimensional linear hyperbolic conservation laws on Cartesian grids |
scientific article; zbMATH DE number 6645162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A posteriori error analysis of the discontinuous Galerkin method for two-dimensional linear hyperbolic conservation laws on Cartesian grids |
scientific article; zbMATH DE number 6645162 |
Statements
A posteriori error analysis of the discontinuous Galerkin method for two-dimensional linear hyperbolic conservation laws on Cartesian grids (English)
0 references
28 October 2016
0 references
The paper studies the asymptotically exact a posteriori error analysis for the semi-discrete discontinuous Galerkin method for two-dimensional linear hyperbolic conservation laws on Cartesian meshes. The theoretical results are valid for both periodic and Dirichlet boundary conditions. The key ingredient in the proof is a superconvergence result in [\textit{W. Cao} et al., SIAM J. Numer. Anal. 53, No. 4, 1651--1671 (2015; Zbl 1328.65195)]. Numerical results are reported.
0 references
discontinuous Galerkin method
0 references
linear hyperbolic equations
0 references
a posteriori error estimate
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0.9458327
0 references
0.94335794
0 references
0.9307283
0 references
0.92714304
0 references
0.92042553
0 references
0.9187745
0 references
0.91828036
0 references
0.91766846
0 references
