On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model
DOI10.1016/j.camwa.2014.03.010zbMath1362.65092OpenAlexW1999147594MaRDI QIDQ2627234
Publication date: 31 May 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2014.03.010
finite element methodchemotaxisfinite volume schemepatternsvolume-fillingheterogeneous anisotropic tensor
Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (23)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite volume methods for degenerate chemotaxis model
- Mathematical analysis and pattern formation for a partial immune system modeling the spread of an epidemic disease
- On the finite volume element method
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions
- Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Convergence of finite volume schemes for a degenerate convection-diffusion equation arising in flows in porous media
- A finite volume scheme for anisotropic diffusion problems
- A posteriorierror estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations
- GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS
- Random walk with persistence and external bias
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
- Convergence analysis of a vertex-centered finite volume scheme for a copper heap leaching model
- Classical solutions and pattern formation for a volume filling chemotaxis model
- Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
- Convergence d'un schéma de type éléments finis-volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique
- Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
- A Control Volume Finite Element Approach to NAPL Groundwater Contamination
This page was built for publication: On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model