TITLE

A Flux-Corrected Finite Element Method for Chemotaxis Problems

AUTHOR(S)
Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S.
PUB. DATE
April 2010
SOURCE
Computational Methods in Applied Mathematics;2010, Vol. 10 Issue 2, p219
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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.
ACCESSION #
93719945

 

Related Articles

  • Pattern Formations Dynamics in a Reaction-Diffusion Model. Rasheed, Shaker Mahmood // International Journal of Pure & Applied Sciences & Technology;Mar2014, Vol. 21 Issue 1, p53 

    We study a reaction diffusion system that models the dynamics of pattern formation. We find the traveling wave solutions and pattern formation using numerical method and Consul finite element package in one and two dimensions. After examining the travelling waves that are generated, we have...

  • Splash Singularities for the One-Phase Muskat Problem in Stable Regimes. Castro, Angel; Córdoba, Diego; Fefferman, Charles; Gancedo, Francisco // Archive for Rational Mechanics & Analysis;Oct2016, Vol. 222 Issue 1, p213 

    In this paper we show the existence in finite time of splash singularities for the one-phase Muskat problem.

  • On the Modelling of Biological Patterns with Mechanochemical Models: Insights from Analysis and Computation. Moreo, P.; Gaffney, E. A.; García-Aznar, J. M.; Doblaré, M. // Bulletin of Mathematical Biology;Feb2010, Vol. 72 Issue 2, p400 

    The diversity of biological form is generated by a relatively small number of underlying mechanisms. Consequently, mathematical and computational modelling can, and does, provide insight into how cellular level interactions ultimately give rise to higher level structure. Given cells respond to...

  • Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity. Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, Jens; Praetorius, Dirk // Computational Mechanics;Apr2013, Vol. 51 Issue 4, p399 

    We consider a (possibly) nonlinear interface problem in 2D and 3D, which is solved by use of various adaptive FEM-BEM coupling strategies, namely the Johnson-Nédélec coupling, the Bielak-MacCamy coupling, and Costabel's symmetric coupling. We provide a framework to prove that the...

  • A TRIANGULAR FINITE VOLUME ELEMENT METHOD FOR A SEMILINEAR ELLIPTIC EQUATION. Zhiguang Xiong; Yanping Chen // Journal of Computational Mathematics;2014, Vol. 32 Issue 2, p152 

    In this paper we extend the idea of interpolated coefficients for a semilinear problem to the triangular finite volume element method. We first introduce triangular finite volume element method with interpolated coefficients for a boundary value problem of semilinear elliptic equation. We then...

  • Friction induced rail vibrations. Kralov, Ivan; Sinapov, Petko; Nedelchev, Krasimir; Ignatov, Ignat // AIP Conference Proceedings;Nov2012, Vol. 1497 Issue 1, p19 

    A model of rail, considered as multiple supported beam, subjected on friction induced vibration is studied in this work using FEM. The model is presented as continuous system and the mass and elastic properties of a real object are taken into account. The friction forces are nonlinear functions...

  • MATHEMATICAL MODELLING OF FLAT AND LONG HOT ROLLING BASED ON FINITE ELEMENT METHODS (FEM). Fabík, R.; Kliber, J.; Mamuzić, I.; Kubina, T.; Aksenov, S. A. // Metalurgija;2012, Vol. 51 Issue 3, p341 

    The aim of this paper is to critically assess the potential of mathematical modelling which uses finite element method software for solving operation problems in the hot rolling of flat and long products. We focused on concrete issues faced by rolling plants in the Moravian-Silesian region...

  • Mathematical Modeling of Heat Transfer Problems in the Permafrost. Gornov, V. F.; Stepanov, S. P.; Vasilyeva, M. V.; Vasilyev, V. I. // AIP Conference Proceedings;2014, Vol. 1629, p424 

    In this work we present results of numerical simulation of three-dimensional temperature fields in soils for various applied problems: the railway line in the conditions of permafrost for different geometries, the horizontal tunnel underground storage and greenhouses of various designs in the...

  • Study on the Process Optimization of Fully-mechanized Hard Top-coal Caving with Large Inclination Angle. Yong ZHANG; Jinkai LIU; Qi LI; Jianjian ZHAO; Yue MA // Advanced Materials Research;2014, Issue 889-890, p234 

    In order to solve the problem of low recovery rate of top-coal during fully-mechanized coal caving with large inclination angle, the optimization of fully-mechanized hard top-coal caving with large inclination angle is studied in this paper respectively in the two aspects of changing caving...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics