| Title:
|
A curious property of oscillatory FEM solutions of one-dimensional convection-diffusion problems (English) |
| Author:
|
Madden, Niall |
| Author:
|
Stynes, Martin |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2012 |
| Volume:
|
Proceedings. Prague, May 2-5, 2012 |
| Issue:
|
2012 |
| Year:
|
|
| Pages:
|
188-196 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Song, Yin and Zhang (Int. J. Numer. Anal. Model. 4: 127-140, 2007) discovered a remarkable property of oscillatory finite element solutions of one-dimensional convection-diffusion problems that leads to a novel numerical method for the solution of such problems. In the present paper this property is described using several figures, then a simple proof of the phenomenon is given which is much more intuitive than the technical analysis of Song et al. (English) |
| Keyword:
|
piecewise linear function |
| Keyword:
|
Galerkin finite element method |
| Keyword:
|
numerical examples |
| Keyword:
|
one-dimensional convection-diffusion problems |
| MSC:
|
34B05 |
| MSC:
|
65L10 |
| MSC:
|
65L60 |
| idZBL:
|
Zbl 1313.65194 |
| idMR:
|
MR3204411 |
| . |
| Date available:
|
2017-02-14T09:01:59Z |
| Last updated:
|
2017-04-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702904 |
| . |
