Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628922 | Applied Mathematics and Computation | 2013 | 12 Pages |
Abstract
We investigate an upwind-like DG method for solving first-order hyperbolic problems written as the Friedrichs’ systems. Under certain condition, this DG scheme may be semi-explicit such that the discrete equations can be solved layer by layer. We give the stability analysis and error estimate of order k+1/2k+1/2 in the DG-norm. In particular, for some hyperbolic systems, we show that the convergence rate is of order k+1k+1 in the L2L2-norm if the QkQk-elements are used on rectangular meshes. Finally, we provide some numerical experiments to illustrate the theoretical analysis.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tie Zhang, Shun Yu,