Analysis of an Energy-Dissipating Finite Volume Scheme on Admissible Mesh for the Aggregation-Diffusion Equations

DOI10.1007/S10915-024-02522-4MaRDI QIDQ6493958

Publication date: 29 April 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Integro-partial differential equations (45K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

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A nonlocal continuum model for biological aggregation
An entropy satisfying discontinuous Galerkin method for nonlinear Fokker-Planck equations
Numerical study of a particle method for gradient flows
Finite volume methods for a Keller-Segel system: discrete energy, error estimates and numerical blow-up analysis
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion
On the finite volume element method
Notes on finite difference schemes to a parabolic-elliptic system modelling chemotaxis
Contractions in the 2-Wasserstein length space and thermalization of granular media
Volume effects in the Keller--Segel model: energy estimates preventing blow-up
A mixed finite element method for nonlinear diffusion equations
A non-Maxwellian steady distribution for one-dimensional granular media
A convexity principle for interacting gases
A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials
A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems
Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure
An analysis on the finite volume schemes and the discrete Lyapunov inequalities for the chemotaxis system
Primal dual methods for Wasserstein gradient flows
Ring patterns and their bifurcations in a nonlocal model of biological swarms
Consensus convergence with stochastic effects
On an aggregation model with long and short range interactions
Formation of clumps and patches in self-aggregation of finite-size particles
One-dimensional kinetic models of granular flows
A blob method for the aggregation equation
Large Deviations for a Mean Field Model of Systemic Risk
Heterophilious Dynamics Enhances Consensus
On discrete functional inequalities for some finite volume schemes
Swarm dynamics and equilibria for a nonlocal aggregation model
Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations
Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis
On a conservation upwind finite element scheme for convective diffusion equations
A kinetic equation for granular media
A kinetic equation for granular media
Zoology of a Nonlocal Cross-Diffusion Model for Two Species
A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations
Phase Transitions in a Kinetic Flocking Model of Cucker--Smale Type
A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
The Mathematical Theory of Finite Element Methods

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