| Title:
|
A new reconstruction-enhanced discontinuous Galerkin method for time-dependent problems (English) |
| Author:
|
Kučera, Václav |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Dolní Maxov, June 6-11, 2010 |
| Issue:
|
2010 |
| Year:
|
|
| Pages:
|
125-130 |
| . |
| Category:
|
math |
| . |
| Summary:
|
This work is concerned with the introduction of a new numerical scheme based on the discontinuous Galerkin (DG) method. We propose to follow the methodology of higher order finite volume schemes and introduce a reconstruction operator into the DG scheme. This operator constructs higher order piecewise polynomial reconstructions from the lower order DG scheme. Such a procedure was proposed already in [2] based on heuristic arguments, however we provide a rigorous derivation, which justifies the increased order of accuracy. Numerical experiments are carried out. (English) |
| Keyword:
|
discontinuous Galerkin method |
| Keyword:
|
reconstruction operator |
| Keyword:
|
nonlinear nonstationary scalar hyperbolic equation |
| Keyword:
|
Lipschitz-continuous boundary |
| MSC:
|
65M08 |
| MSC:
|
65M60 |
| MSC:
|
65N30 |
| . |
| Date available:
|
2015-07-08T06:52:40Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702750 |
| . |
