Name
Title | ||
|---|---|---|
An a-posteriori error estimate for hp-adaptive DG methods for convection-diffusion problems on anisotropically refined meshes |
Abstract | ||
|---|---|---|
We prove an a-posteriori error estimate for hp-adaptive discontinuous Galerkin methods for the numerical solution of convection-diffusion equations on anisotropically refined rectangular elements. The estimate yields global upper and lower bounds of the errors measured in terms of a natural norm associated with diffusion and a semi-norm associated with convection. The anisotropy of the underlying meshes is incorporated in the upper bound through an alignment measure. We present a series of numerical experiments to test the feasibility of this approach within a fully automated hp-adaptive refinement algorithm. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.camwa.2012.10.015 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
hp-adaptive discontinuous galerkin method,a-posteriori error estimate,numerical experiment,hp-adaptive refinement algorithm,convection-diffusion problem,estimate yield,lower bound,convection-diffusion equation,anisotropically refined rectangular element,alignment measure,anisotropically refined mesh,numerical solution,hp-adaptive dg method,hp | Discontinuous Galerkin method,Convection–diffusion equation,Convection,Mathematical optimization,Anisotropy,Polygon mesh,Mathematical analysis,Upper and lower bounds,A priori and a posteriori,Mathematics | Journal |
Volume | Issue | ISSN |
67 | 4 | 0898-1221 |
Citations | PageRank | References |
3 | 0.44 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Stefano Giani | 1 | 36 | 9.55 |
| Dominik Schötzau | 2 | 923 | 245.37 |
| Liang Zhu | 3 | 3 | 0.44 |