Name
Title | ||
|---|---|---|
A posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws |
Abstract | ||
|---|---|---|
In this work we construct reliable a posteriori estimates for some semi-(spatially) discrete 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, which leads to error control in the case of smooth solutions. 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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1137/140970999 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
discontinuous Galerkin,aposteriori estimates,systems of hyperbolic conservation laws,relative entropy | Discontinuous Galerkin method,Mathematical optimization,Nonlinear system,Mathematical analysis,A priori and a posteriori,Robustness (computer science),Error detection and correction,Conservation law,Mathematics,Kullback–Leibler divergence,Estimator | Journal |
Volume | Issue | ISSN |
53 | 3 | 0036-1429 |
Citations | PageRank | References |
0 | 0.34 | 11 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jan Giesselmann | 1 | 2 | 1.52 |
| Charalambos Makridakis | 2 | 253 | 48.36 |
| Tristan Pryer | 3 | 34 | 4.17 |