Tumour_ENS - V Styles.pdf (1.16 MB)
Finite-element approximation of a phase field model for tumour growth
journal contribution
posted on 2023-06-10, 00:23 authored by Joe Eyles, Robert Nurnberg, Vanessa StylesVanessa StylesWe 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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Publication status
- Published
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- Accepted version
Journal
Portugaliae MathematicaISSN
0032-5155Publisher
European Mathematical Society Publishing HouseExternal DOI
Issue
3/4Volume
78Page range
341-365Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2021-07-16First Open Access (FOA) Date
2022-04-05First Compliant Deposit (FCD) Date
2021-07-15Usage metrics
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