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arXiv · 2009.03126

Finite element approximation of a phase field model for tumour growth

Joe Eyles·Robert Nürnberg·Vanessa Styles
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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.

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Joe Eyles, Robert Nürnberg, Vanessa Styles. 2021-07-13. Finite element approximation of a phase field model for tumour growth. https://doi.org/10.4171/pm%2F2072

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