Corpus ID: 236881678

Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport

@article{Garcke2021NumericalAF,
  title={Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport},
  author={Harald Garcke and Dennis Trautwein},
  journal={ArXiv},
  year={2021},
  volume={abs/2108.01507}
}
In this work, we consider a diffuse interface model for tumour growth in the presence of a nutrient which is consumed by the tumour. The system of equations consists of a Cahn-Hilliard equation with source terms for the tumour cells and a reaction-diffusion equation for the nutrient. We introduce a fullydiscrete finite element approximation of the model and prove stability bounds for the discrete scheme. Moreover, we show that discrete solutions exist and depend continuously on the initial and… Expand

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References

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