Finite element approximation of a phase field model for tumour growth
Numerical Analysis
2022-02-07 v2 Numerical Analysis
Abstract
We consider a fully practical finite element approximation of a diffuse interface model for tumour growth that takes the form of a degenerate parabolic system. In addition to showing stability bounds for the approximation, we prove convergence, and hence existence of a solution to this system in two space dimensions. Several numerical experiments demonstrate the practicality and robustness of the proposed method.
Keywords
Cite
@article{arxiv.2009.03126,
title = {Finite element approximation of a phase field model for tumour growth},
author = {Joe Eyles and Robert Nürnberg and Vanessa Styles},
journal= {arXiv preprint arXiv:2009.03126},
year = {2022}
}