Name
Abstract | ||
|---|---|---|
In this paper, we study superconvergence properties of the discontinuous Galerkin (DG) method for one-dimensional linear hyperbolic equations when upwind fluxes are used. We prove, for any polynomial degree k, the 2k vertical bar 1th (or 2k vertical bar 1/2th) superconvergence rate of the DG approximation at the downwind points and for the domain average under quasi-uniform meshes and some suitable initial discretization. Moreover, we prove that the derivative approximation of the DG solution is superconvergent with a rate k + 1 at all interior left Radau points. All theoretical findings are confirmed by numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1137/130946873 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
discontinuous Galerkin method,superconvergence,hyperbolic,Radau points,cell average,initial discretization | Discontinuous Galerkin method,Discretization,Mathematical optimization,Polygon mesh,Mathematical analysis,Degree of a polynomial,Superconvergence,Mathematics,Hyperbolic partial differential equation | Journal |
Volume | Issue | ISSN |
52 | 5 | 0036-1429 |
Citations | PageRank | References |
15 | 0.75 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Waixiang Cao | 1 | 60 | 6.70 |
| Zhimin Zhang | 2 | 54 | 11.10 |
| Qingsong Zou | 3 | 96 | 13.99 |