Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
498923 | Computer Methods in Applied Mechanics and Engineering | 2010 | 15 Pages |
Abstract
Considering a simple model transport problem, we present a new finite element method. While the new method fits in the class of discontinuous Galerkin (DG) methods, it differs from standard DG and streamline diffusion methods, in that it uses a space of discontinuous trial functions tailored for stability. The new method, unlike the older approaches, yields optimal estimates for the primal variable in both the element size h and polynomial degree p, and outperforms the standard upwind DG method.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
L. Demkowicz, J. Gopalakrishnan,