Convergence of a finite volume scheme for a system of interacting species with cross-diffusion

Convergence of a finite volume scheme for a system of interacting species with cross-diffusion

In this work we present the convergence of a positivity preserving semi-discrete finite volume scheme for a coupled system of two non-local partial differential equations with cross-diffusion. The key to proving the convergence result is to establish positivity in order to obtain a discrete energy e...

书目详细资料
Main Authors:	Carrillo de la Plata, J, Filbet, F, Schmidtchen, M
格式:	Journal article
语言:	English
出版:	Springer Verlag 2020

相似书籍

Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations
由: Bailo, R, et al.
出版: (2020)

Splitting schemes and segregation in reaction cross-diffusion systems
由: Carrillo, JA, et al.
出版: (2018)

A finite-volume scheme for fractional diffusion on bounded domains
由: Bailo, R, et al.
出版: (2024)

A finite-volume scheme for fractional diffusion on bounded domains
由: Rafael Bailo, et al.
出版: (2025-04-01)

Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy
由: Carrillo de la Plata, JA, et al.
出版: (2020)

Comparison of finite-volume schemes for diffusion problems
由: Schneider Martin, et al.
出版: (2018-01-01)

Zoology of a nonlocal cross-diffusion model for two species
由: Huang, Y, et al.
出版: (2018)

Convergence of a finite volume scheme for a parabolic system applied to image processing
由: Attmani Jamal, et al.
出版: (2022-09-01)

Convergence of a particle method for diffusive gradient flows in one dimension
由: Carrillo de la Plata, JA, et al.
出版: (2016)

Segregation and gap formation in cross-diffusion models
由: Burger, M, et al.
出版: (2020)

Stable and Convergent Finite Difference Schemes on NonuniformTime Meshes for Distributed-Order Diffusion Equations
由: M. Luísa Morgado, et al.
出版: (2021-08-01)

On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations
由: Cancès, Clément, et al.
出版: (2023-02-01)

A Positivity-Preserving Finite Volume Scheme for Nonequilibrium Radiation Diffusion Equations on Distorted Meshes
由: Di Yang, et al.
出版: (2022-03-01)

Quadratic upwind differencing scheme in the finite volume method for solving the convection-diffusion equation
由: Minilik Ayalew, et al.
出版: (2023-12-01)

Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions*
由: Saad Mazen Georges Chamoun, et al.
出版: (2014-09-01)

Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces
由: Carrillo de la Plata, JA, et al.
出版: (2018)

Bound-preserving finite-volume schemes for systems of continuity equations with saturation
由: Bailo, R, et al.
出版: (2023)

A finite-volume method for fluctuating dynamical density functional theory
由: Russo, A, et al.
出版: (2020)

Adaptive wavelet schemes and finite volumes
由: Del Sarto Daniele, et al.
出版: (2021-01-01)

Single to double mill small noise transition via semi-Lagrangian finite volume methods
由: Carrillo de la Plata, JA, et al.
出版: (2016)

A Lagrangian Scheme for the Solution of Nonlinear Diffusion Equations Using Moving Simplex Meshes
由: Carrillo de la Plata, JA, et al.
出版: (2017)

Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure
由: Bailo, R, et al.
出版: (2020)

Finite Difference Scheme and Finite Volume Scheme for Fractional Laplacian Operator and Some Applications
由: Junjie Wang, et al.
出版: (2023-12-01)

Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation
由: J. M. Guevara-Jordan, et al.
出版: (2007-06-01)

Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation
由: Rojas S, et al.
出版: (2007-01-01)

Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation
由: Bailo, R, et al.
出版: (2023)

Finite volume schemes and Lax–Wendroff consistency
由: Eymard, Robert, et al.
出版: (2022-10-01)

Finite volume method for a diffusion-advection equation
由: Goh, Brandon B Edison Adi
出版: (2024)

Analysis of finite difference discretization schemes for diffusion in spheres with variable diffusivity
由: Ford-Versypt, Ashlee Nicole, et al.
出版: (2017)

Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations
由: Zhang, Xiangxiong, et al.
出版: (2012)

High-order well-balanced finite volume schemes for hydrodynamic equations with nonlocal free energy
由: Carrillo, JA, et al.
出版: (2021)

An Upstream Finite Volume Scheme for a Bone Healing Model
由: Alexandre Uzureau, et al.
出版: (2012-09-01)

Convergence of the finite volume method for a conductive-radiative heat transfer problem
由: Karlis Birgelis, et al.
出版: (2013-04-01)

Adaptive stabilized finite volume method and convergence analysis for the Oseen equations
由: Junxiang Lu, et al.
出版: (2018-08-01)

Conservative Finite Volume Schemes for Multidimensional Fragmentation Problems
由: Jitraj Saha, et al.
出版: (2021-03-01)

Adhesion and volume constraints via nonlocal interactions determine cell organisation and migration profiles
由: Carrillo de la Plata, JA, et al.
出版: (2018)

Convergence in Distribution of Some Self-Interacting Diffusions
由: Aline Kurtzmann
出版: (2014-01-01)

Convergence of numerical schemes for convection–diffusion–reaction equations on generic meshes
由: Yahya Alnashri, et al.
出版: (2023-08-01)

High-order compact finite volume scheme for the 2D multi-term time fractional sub-diffusion equation
由: Baojin Su, et al.
出版: (2020-12-01)

Convergence of a particle method for a regularized spatially homogeneous Landau equation
由: Carrillo de la Plata, JA, et al.
出版: (2023)