Application of the $j$-subgradient in a problem of electropermeabilisation
Analysis of PDEs
2014-12-16 v1 Numerical Analysis
Abstract
We study a coupled elliptic-parabolic Poincar\'e-Steklov system arising in electrical cell activity in biological tissues. By using the notion of -subgradient, we show that this system has a gradient structure and thus obtain wellposedness. We further exploit the gradient structure for the discretisation of the problem and provide numerical experiments.
Keywords
Cite
@article{arxiv.1412.4158,
title = {Application of the $j$-subgradient in a problem of electropermeabilisation},
author = {Ralph Chill and Zakaria Belhachmi},
journal= {arXiv preprint arXiv:1412.4158},
year = {2014}
}
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19 pages