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.
Finite-element approximation of a phase field model for tumour growth / Eyles, Joe; Nürnberg, Robert; Styles, Vanessa. - In: PORTUGALIAE MATHEMATICA. - ISSN 0032-5155. - 78:3-4(2021), pp. 341-365. [10.4171/PM/2072]
Finite-element approximation of a phase field model for tumour growth
Nürnberg, Robert;
2021-01-01
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.| File | Dimensione | Formato | |
|---|---|---|---|
|
EylesNS21_accepted.pdf
accesso aperto
Tipologia:
Post-print referato (Refereed author’s manuscript)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
1.16 MB
Formato
Adobe PDF
|
1.16 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
