A Flux-Corrected Finite Element Method for Chemotaxis Problems

Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S.
April 2010
Computational Methods in Applied Mathematics;2010, Vol. 10 Issue 2, p219
Academic Journal
An implicit flux-corrected transport (FCT) algorithm has been developed for a class of chemotaxis models. The coefficients of the Galerkin finite element discretization has been adjusted in such a way as to guarantee mass conservation and keep the cell density nonnegative. The numerical behaviour of the proposed highresolution scheme is tested on the blow-up problem for a minimal chemotaxis model with singularities. It has also been shown that the results for an Escherichia coli chemotaxis model are in good agreement with the experimental data reported in the literature.


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