Finite element analysis of attraction-repulsion chemotaxis system. I: Space convergence
From MaRDI portal
Publication:2163479
DOI10.1007/s42967-021-00124-7OpenAlexW3183650451MaRDI QIDQ2163479
Mohammed H. Hashim, Akil J. Harfash
Publication date: 10 August 2022
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42967-021-00124-7
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell movement (chemotaxis, etc.) (92C17)
Related Items (5)
Finite element analysis of attraction-repulsion chemotaxis system. II: Time convergence, error analysis and numerical results ⋮ Finite element analysis of chemotaxis-growth model with indirect attractant production and logistic source ⋮ Finite element analysis of the two-competing-species Keller-Segel chemotaxis model ⋮ Finite element analysis of nonlinear reaction-diffusion system of Fitzhugh-Nagumo type with Robin boundary conditions ⋮ Finite element analysis of a two-species chemotaxis system with two chemicals
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: Is there a connection?
- Finite volume methods for a Keller-Segel system: discrete energy, error estimates and numerical blow-up analysis
- Fully discrete analysis of a discontinuous finite element method for the keller-segel chemotaxis model
- Characteristic splitting mixed finite element analysis of Keller-Segel chemotaxis models
- Initiation of slime mold aggregation viewed as an instability
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Nonnegativity preserving convergent schemes for the thin film equation
- Finite-element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation
- Finite element approximation of a nonlinear cross-diffusion population model
- Theory and practice of finite elements.
- Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
- Convergence of a positive nonlinear control volume finite element scheme for solving an anisotropic degenerate breast cancer development model
- Modelling the movement of interacting cell populations
- Study of a chemo-repulsion model with quadratic production. II: Analysis of an unconditionally energy-stable fully discrete scheme
- Study of a chemo-repulsion model with quadratic production. I: Analysis of the continuous problem and time-discrete numerical schemes
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
- General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility
- Finite Element Approximation of Surfactant Spreading on a Thin Film
- Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
- On the Numerical Behavior of a Chemotaxis Model with Linear Production Term
- Analyse Numerique d’un Probleme de Stefan a Deux Phases Par une Methode d’Elements Finis
- Unconditionally energy stable fully discrete schemes for a chemo-repulsion model
- A finite volume scheme for a Keller-Segel model with additional cross-diffusion
- Monotone combined edge finite volume–finite element scheme for Anisotropic Keller–Segel model
- Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
This page was built for publication: Finite element analysis of attraction-repulsion chemotaxis system. I: Space convergence
