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

Garcke, Harald ; Trautwein, Dennis


A diffuse interface model for tumour growth in the presence of a nutrient consumed by the tumour is considered. 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 fully-discrete finite element approximation of the model and prove stability bounds for the discrete scheme. Moreover, ...


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