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

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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s10915-019-00997-0

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Springer Nature Publisher's website
Journal:
Journal of Scientific Computing Journal website
Volume:
80
Issue:
3
Pages:
1777-1804
Publication date:
2019-06-27
Acceptance date:
2019-06-21
DOI:
EISSN:
1573-7691
ISSN:
0885-7474
Language:
English
Keywords:
Pubs id:
1098223
Local pid:
pubs:1098223
Deposit date:
2020-04-07

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