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arXiv · 1709.07394

A hybrid mass transport finite element method for Keller-Segel type systems

José Antonio Carrillo·Niklas Kolbe·Mária Lukácová-Medviďová
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Abstract

We propose a new splitting scheme for general reaction-taxis-diffusion systems in one spatial dimension capable to deal with simultaneous concentrated and diffusive regions as well as travelling waves and merging phenomena. The splitting scheme is based on a mass transport strategy for the cell density coupled with classical finite element approximations for the rest of the system. The built-in mass adaption of the scheme allows for an excellent performance even with respect to dedicated mesh-adapted AMR schemes in original variables.

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José Antonio Carrillo, Niklas Kolbe, Mária Lukácová-Medviďová. 2017-09-21. A hybrid mass transport finite element method for Keller-Segel type systems. https://arxiv.org/abs/1709.07394

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