Speaker: B Dong
Affiliation: Brown University
Talk Title: Optimal convergence of the original DG method for the transport-reaction equation on special meshes
Invited by: Chi-Wang Shu
Time: March 14 2008 11 a.m.
Location: 182 George Street, Room 110
Abstract:
The talk is about the approximation given by the original discontinuous Galerkin method for the transport-reaction equation in $d$ space dimensions. The approximation is optimal provided the meshes are suitably chosen: the $L^2$-norm of the error is of order $k+1$ when the method uses polynomials of degree $k$. These meshes are not necessarily conforming and do not satisfy any uniformity condition; they are only required to be made of simplexes each of which has a unique outflow face. We also find a new, element-by-element postprocessing of the derivative in the direction of the flow which superconverges with order $k+1$.
Send mail to dam
dam.brown.edu with questions or comments about
this web site.
Copyright © 2009 Division of Applied Mathematics, Brown University
