A finite element method for high-contrast interface problems with error estimates independent of contrast
Numerical Analysis
2016-10-18 v3
Abstract
We define a new finite element method for a steady state elliptic problem with discontinuous diffusion coefficients where the meshes are not aligned with the interface. We prove optimal error estimates in the norm and weighted semi-norm independent of the contrast between the coefficients. Numerical experiments validating our theoretical findings are provided.
Cite
@article{arxiv.1507.03873,
title = {A finite element method for high-contrast interface problems with error estimates independent of contrast},
author = {Johnny Guzman and Manuel A. Sanchez and Marcus Sarkis},
journal= {arXiv preprint arXiv:1507.03873},
year = {2016}
}
Comments
33 pages 5 figures