Journal article
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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Authors
Bibliographic Details
- 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
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1098223
- Local pid:
- pubs:1098223
- Deposit date:
- 2020-04-07
Terms of use
- Copyright holder:
- Carillo et al.
- Copyright date:
- 2019
- Rights statement:
- © 2019, The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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