Year: 2008
Author: Y. Epshteyn, B. Rivière
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 5 : pp. 47–63
Abstract
We derive error estimates for fully discrete scheme using primal discontinuous Galerkin discretization in space and backward Euler discretization in time. The estimates in the energy norm are optimal with respect to the mesh size and suboptimal with respect to the polynomial degree. The proposed scheme is of high order as polynomial approximations of pressure and concentration can take any degree. In addition, the method can handle different types of boundary conditions and is well-suited for unstructured meshes.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-839
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 5 : pp. 47–63
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: flow transport porous media miscible displacement NIPG SIPG IIPG h and p-version fully discrete scheme.