| Autor: |
Mai, Xiongfa, Zhu, Ciwen, Liu, Libin |
| Předmět: |
|
| Zdroj: |
Networks & Heterogeneous Media; 2023, Vol. 18 Issue 4, p1-11, 11p |
| Abstrakt: |
In this paper, an adaptive grid method is put forward to solve a singularly perturbed convection-diffusion problem with a discontinuous convection coefficient. First, this problem is discretized by using an upwind finite difference scheme on an arbitrary nonuniform grid except the fixed jump point. Then, a first-order maximum norm a posterior error estimate is derived. Further, based on this a posteriori error estimation and the mesh equidistribution principle, an adaptive grid generation algorithm is constructed. Finally, some numerical experiments are presented that support our theoretical estimate. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
