Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 199, Issue 23-24, Pages 1558-1572Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.01.003
Keywords
Advection; Petrov-Galerkin; High order; Discontinuous Galerkin; DG; DPG; hp optimal; Spectral; Conservative; Flux; Postprocessing
Funding
- DOE through Predictive Engineering Science (PECOS) Center at ICES
- National Science Foundation [0713833, 0619080]
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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. (C) 2010 Elsevier B.V. All rights reserved.
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