Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation
Numerical Analysis
2014-09-22 v3
Abstract
We derive guaranteed bounds of distance to the exact solution of the evolutionary reaction-diffusion problem with mixed Dirichlet-Neumann boundary condition. It is shown that two-sided error estimates are directly computable and equivalent to the error. Numerical experiments confirm that estimates provide accurate two-sided bounds of the overall error and generate efficient indicators of local error distribution.
Keywords
Cite
@article{arxiv.1310.4602,
title = {Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation},
author = {Svetlana Matculevich and Sergey Repin},
journal= {arXiv preprint arXiv:1310.4602},
year = {2014}
}
Comments
21 pages, 13 figures