Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis | Zendy

Norikazu Saito | Zendy

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Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis

Author(s) -

Norikazu Saito

Publication year - 2011

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2012.11.339

Subject(s) - finite element method , semigroup , element (criminal law) , order (exchange) , mathematics , chemotaxis , computer science , mathematical optimization , mathematical analysis , physics , biochemistry , chemistry , receptor , finance , political science , law , economics , thermodynamics

We are concerned with the finite-element approximation for the Keller-Segel system that describes the aggregation of slime molds resulting from their chemotactic features. The scheme makes use of a semi-implicit time discretization with a time-increment control and Baba-Tabata's conservative upwind finite-element approximation in order to realize the positivity and mass conservation properties. The main aim is to present error analysis that is an application of the discrete version of the analytical semigroup theory.

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