| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9511201 | Journal of Computational and Applied Mathematics | 2019 | 29 Pages |
Abstract
We propose a weak Galerkin (WG) finite element method for solving the one-dimensional Burgers' equation. Based on a new weak variational form, both semi-discrete and fully-discrete WG finite element schemes are established and analyzed. We prove the existence of the discrete solution and derive the optimal order error estimates in a discrete H1 norm and the standard L2 norm, respectively. Numerical experiments are presented to illustrate our theoretical analysis.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yanli Chen, Tie Zhang,