@inproceedings{c0a0fcf906d44e10ae8dcb881f1fde0a,
title = "Comparison of high-order finite volume and discontinuous Galerkin methods on 3D unstructured grids",
abstract = "The paper presents a direct comparison of convergence properties of finite volume and discontinuous Galerkin methods of the same nominal order of accuracy. Convergence is evaluated on tetrahedral grids for an advection equation and manufactured solution of Euler equations. It is shown that for the test cases considered, the discontinuous Galerkin discretisation tends to recover the asymptotic range of convergence on coarser grids and yields a lower error norm by comparison with the finite volume discretisation.",
keywords = "Discontinuous Galerkin, Finite Volume, High-order, Unstructured",
author = "Antoniadis, {A. F.} and Iqbal, {K. H.} and E. Shapiro and N. Asproulis and D. Drikakis",
year = "2011",
month = nov,
day = "28",
doi = "10.1063/1.3636979",
language = "English",
isbn = "9780735409569",
series = "AIP Conference Proceedings",
pages = "1886--1889",
booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics",
note = "International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 ; Conference date: 19-09-2011 Through 25-09-2011",
}