| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6422599 | Journal of Computational and Applied Mathematics | 2014 | 13 Pages |
Abstract
The chief difficulties in formulating a posteriori error estimates for finite difference schemes is introducing a variational formulation-and the associated adjoint problem-and a systematic definition of residual errors. In this paper, we approach this problem by first deriving an equivalency between a finite element method and the Lax-Wendroff finite volume method. We then obtain an adjoint based error representation formula for solutions obtained with this method. Results from linear and nonlinear viscous conservation laws are given.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J.B. Collins, Don Estep, Simon Tavener,