| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4636747 | Applied Mathematics and Computation | 2006 | 15 Pages |
Abstract
In this paper, we develop a time and its corresponding spatial discretization scheme, based upon the assumption of a certain weak singularity of ‖ut(t)‖L2(Ω)=‖ut‖2‖ut(t)‖L2(Ω)=‖ut‖2, for the discontinuous Galerkin finite element method for one-dimensional parabolic problems. Optimal convergence rates in both time and spatial variables are obtained. A discussion of automatic time-step control method is also included.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hideaki Kaneko, Kim S. Bey, Gene J.W. Hou,