Numerical simulation of chemotaxis models on stationary surfaces

DOI10.3934/dcdsb.2013.18.2689zbMath1275.92007OpenAlexW2327034277MaRDI QIDQ380073

Andriy Sokolov, Robert Strehl, Stefan Turek

Publication date: 12 November 2013

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2013.18.2689

zbMATH Keywords

pattern formationlevel setFEMFCT

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Computational methods for problems pertaining to biology (92-08) Cell movement (chemotaxis, etc.) (92C17)

Related Items (9)

A layers capturing type H-adaptive finite element method for convection-diffusion-reaction equations on surfaces ⋮ A Petrov-Galerkin finite element method for simulating chemotaxis models on stationary surfaces ⋮ Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model ⋮ Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method ⋮ A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces ⋮ Efficient numerical algorithms based on difference potentials for chemotaxis systems in 3D ⋮ A POD-RBF-FD scheme for simulating chemotaxis models on surfaces ⋮ High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces ⋮ An AFC-stabilized implicit finite element method for partial differential equations on evolving-in-time surfaces

This page was built for publication: Numerical simulation of chemotaxis models on stationary surfaces