Identifier: 2009-10
Author(s): B. Cockburn, B. Dong, J. Guzmán and J. Qian
Title: Optimal convergence of the original DG method in special meshes for variable velocity
Page count: 11 pp.
Date: 2009-03-02
Abstract:
We prove optimal convergence rates for the approximation provided by the original discontinuous Galerkin method for the transport-reaction problem. This is achieved in any dimension on meshes related in a suitable way to the possibly variable velocity carrying out the transport. Thus, if the method uses polynomials of degree k, the L2 -norm of the error is of order k + 1. Moreover, we also show that, by means of an element-by-element postprocessing, a new approximate flux can be obtained which superconverges with order k + 1.
Download:
Send mail to dam
dam.brown.edu with questions or comments about
this web site.
Copyright © 2009 Division of Applied Mathematics, Brown University
