Adaptive vertex-centered finite volume methods for general second-order linear elliptic PDEs
Numerical Analysis
2019-07-17 v1
Abstract
We prove optimal convergence rates for the discretization of a general second-order linear elliptic PDE with an adaptive vertex-centered finite volume scheme. While our prior work Erath and Praetorius [SIAM J. Numer. Anal., 54 (2016), pp. 2228--2255] was restricted to symmetric problems, the present analysis also covers non-symmetric problems and hence the important case of present convection.
Cite
@article{arxiv.1709.07181,
title = {Adaptive vertex-centered finite volume methods for general second-order linear elliptic PDEs},
author = {Christoph Erath and Dirk Praetorius},
journal= {arXiv preprint arXiv:1709.07181},
year = {2019}
}