Finite-element approximation of a phase field model for tumour growth (Q2076567)
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scientific article; zbMATH DE number 7478508
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite-element approximation of a phase field model for tumour growth |
scientific article; zbMATH DE number 7478508 |
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Finite-element approximation of a phase field model for tumour growth (English)
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22 February 2022
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Summary: 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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Allen Cahn
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diffuse interface
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finite element method
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error analysis
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0.9345465
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0.92539465
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0.9239453
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0.9178655
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0.9177804
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0.9145513
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0.9140388
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0.91172385
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