Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633573 | Applied Mathematics and Computation | 2008 | 9 Pages |
Abstract
In this paper, a semi-discrete streamline diffusion finite element method (SDFEM) for solving the time-dependent convection-dominated diffusion problem in one dimension is studied. Under the mild regularity assumptions, the convergence/stability results are derived. Finally, some numerical experiments are given for a convection-dominated problem with boundary layer at x=1 by using P1-element. Compared with the finite difference streamline diffusion method (FDSDM), the semi-discrete SDFEM is more stable and it can imitate the exact solution effectively.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhiyong Si, Xinlong Feng, Abdurishit Abduwali,