Article ID Journal Published Year Pages File Type
4628922 Applied Mathematics and Computation 2013 12 Pages PDF
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
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