Superconvergence of Discontinuous Galerkin Solutions for a Nonlinear Scalar Hyperbolic Problem

In this paper, we study the superconvergence of the discontinuous Galerkin solutions for nonlinear hyperbolic partial differential equations. On the first inflow element we prove that the p-degree discontinuous finite element solution converges at Radau points with an O(h p+2) rate. We further show...

Ausführliche Beschreibung