Enhanced accuracy by post-processing for finite element methods for hyperbolic equations

@article{Cockburn2003EnhancedAB,
title={Enhanced accuracy by post-processing for finite element methods for hyperbolic equations},
author={Bernardo Cockburn and Mitchell Luskin and Chi-Wang Shu and Endre S{\"u}li},
journal={Math. Comput.},
year={2003},
volume={72},
pages={577-606}
}

We consider the enhancement of accuracy, by means of a simple post-processing technique, for finite element approximations to transient hyperbolic equations. The post-processing is a convolution with a kernel whose support has measure of order one in the case of arbitrary unstructured meshes; if the mesh is locally translation invariant, the support of the kernel is a cube whose edges are of size of the order of ∆x only. For example, when polynomials of degree k are used in the discontinuous… CONTINUE READING