A diffuse interface box method for elliptic problems
Numerical Analysis
2021-04-27 v1 Numerical Analysis
Abstract
We introduce a diffuse interface box method (DIBM) for the numerical approximation on complex geometries of elliptic problems with Dirichlet boundary conditions. We derive a priori and error estimates highlighting the r\^{o}le of the mesh discretization parameter and of the diffuse interface width. Finally, we present a numerical result assessing the theoretical findings.
Cite
@article{arxiv.2101.11339,
title = {A diffuse interface box method for elliptic problems},
author = {G. Negrini and N. Parolini and M. Verani},
journal= {arXiv preprint arXiv:2101.11339},
year = {2021}
}
Comments
10 pages, 5 figures, submitted on Applied Mathematics Letters