| Title:
|
An adaptive $hp$-discontinuous Galerkin approach for nonlinear convection-diffusion problems (English) |
| Author:
|
Dolejší, Vít |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2012 |
| Volume:
|
Proceedings. Prague, May 2-5, 2012 |
| Issue:
|
2012 |
| Year:
|
|
| Pages:
|
72-82 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We deal with a numerical solution of nonlinear convection-diffusion equations with the aid of the discontinuous Galerkin method (DGM). We propose a new $hp$-adaptation technique, which is based on a combination of a residuum estimator and a regularity indicator. The residuum estimator as well as the regularity indicator are easily evaluated quantities without the necessity to solve any local problem and/or any reconstruction of the approximate solution. The performance of the proposed $hp$-DGM is demonstrated. (English) |
| Keyword:
|
discontinuous Galerkin method |
| Keyword:
|
$hp$-adaptation |
| Keyword:
|
residuum estimator |
| Keyword:
|
regularity indicator |
| Keyword:
|
mesh refinement |
| Keyword:
|
stationary nonlinear convection-diffusion problems |
| Keyword:
|
error estimation |
| Keyword:
|
numerical experiments |
| MSC:
|
35J60 |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| MSC:
|
65N50 |
| idZBL:
|
Zbl 1313.65302 |
| idMR:
|
MR3204401 |
| . |
| Date available:
|
2017-02-14T08:58:54Z |
| Last updated:
|
2017-04-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702894 |
| . |
