Name
Title | ||
|---|---|---|
hp-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems. |
Abstract | ||
|---|---|---|
An a posteriori error estimator for the error in the (L2(H1)+L∞(L2))-type norm for an interior penalty discontinuous Galerkin (dG) spatial discretisation and backward Euler temporal discretisation of linear non-stationary convection–diffusion initial/boundary value problems is derived, allowing for anisotropic elements. The proposed error estimator is used to drive an hp-space–time adaptive algorithm wherein directional mesh refinement is employed to give rise to highly anisotropic elements able to accurately capture layers. The performance of the hp-space–time adaptive algorithm is assessed via a number of standard test problems characterised by sharp and/or moving layers. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.camwa.2019.04.002 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Discontinuous Galerkin,Unsteady convection–diffusion,A posteriori error estimation,Adaptive finite element methods,Anisotropic meshes | Discontinuous Galerkin method,Discretization,Boundary value problem,Mathematical optimization,Mathematical analysis,A priori and a posteriori,Rate of convergence,Adaptive algorithm,Backward Euler method,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
78 | 9 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andrea Cangiani | 1 | 45 | 7.87 |
| Emmanuil H. Georgoulis | 2 | 89 | 14.17 |
| Stefano Giani | 3 | 36 | 9.55 |
| Stephen Metcalfe | 4 | 0 | 0.34 |