A Posteriori Error Analysis of the Discontinuous Galerkin Method for Linear Hyperbolic Systems of Conservation Laws

In this dissertation we present an analysis for the discontinuous Galerkin discretization error of multi-dimensional first-order linear symmetric and symmetrizable hyperbolic systems of conservation laws. We explicitly write the leading term of the local DG error, which is spanned by Legendre polyno...

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Bibliographic Details
Main Author: Weinhart, Thomas
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2014
Online Access:http://hdl.handle.net/10919/26571