An a posteriori error estimate of the outer normal derivative using dual weights
Numerical Analysis
2021-10-26 v2 Numerical Analysis
Abstract
We derive a residual based a-posteriori error estimate for the outer normal flux of approximations to {the diffusion problem with variable coefficient}. By analyzing the solution of the adjoint problem, we show that error indicators in the bulk may be defined to be of higher order than those close to the boundary, which lead to more economic meshes. The theory is illustrated with some numerical examples.
Cite
@article{arxiv.2008.07690,
title = {An a posteriori error estimate of the outer normal derivative using dual weights},
author = {Silvia Bertoluzza and Erik Burman and Cuiyu He},
journal= {arXiv preprint arXiv:2008.07690},
year = {2021}
}
Comments
27 pages, 13 figures, 3 tables