A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System (Q4970513)

scientific article; zbMATH DE number 7261062

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English	A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System	scientific article; zbMATH DE number 7261062

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instance of

scholarly article

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title

A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System (English)

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SIAM Journal on Numerical Analysis

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publication date

14 October 2020

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full work available at URL

https://arxiv.org/abs/2001.11222

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zbMATH Keywords

cross-diffusion system

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finite volumes

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discrete entropy method

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convergence

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MaRDI profile type

MaRDI publication profile

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cites work

Numerical analysis of a finite volume scheme for a seawater intrusion model with cross‐diffusion in an unconfined aquifer

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Convergence of a positive nonlinear control volume finite element scheme for an anisotropic seawater intrusion model with sharp interfaces

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Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations

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ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS

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Cross-diffusion systems with non-zero flux and moving boundary conditions

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Uniqueness of strong solutions and weak-strong stability in a system of cross-diffusion equations

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Nonlinear Cross-Diffusion with Size Exclusion

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Nonlinear Poisson–Nernst–Planck equations for ion flux through confined geometries

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Finite‐volume scheme for a degenerate cross‐diffusion model motivated from ion transport

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Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure

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Error Estimate for Time-Explicit Finite Volume Approximation of Strong Solutions to Systems of Conservation Laws

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Finite Volume Approximation of a Degenerate Immiscible Two-Phase Flow Model of Cahn–Hilliard Type

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

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Entropy Method and Asymptotic Behaviours of Finite Volume Schemes

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Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis

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Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem

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Q5185568

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A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy

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Finite volume schemes for diffusion equations: Introduction to and review of modern methods

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The Asymmetric Gradient Discretisation Method

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The gradient discretisation method

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Improved $L^2$ estimate for gradient schemes and super-convergence of the TPFA finite volume scheme

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H-Convergence and Numerical Schemes for Elliptic Problems

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TP or not TP, that is the question

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Q2702614

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Error estimates for a numerical approximation to the compressible barotropic Navier–Stokes equations

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Compactness of discrete approximate solutions to parabolic PDEs -- application to a turbulence model

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Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations

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Why Do We Need Voronoi Cells and Delaunay Meshes?

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Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport

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Analysis of a degenerate parabolic cross-diffusion system for ion transport

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Phase segregation dynamics in particle systems with long range interactions. I: Macroscopic limits

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Bound preserving and energy dissipative schemes for porous medium equation

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An error estimate for a finite volume scheme for a diffusion–convection problem on a triangular mesh

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The boundedness-by-entropy method for cross-diffusion systems

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Entropy Methods for Diffusive Partial Differential Equations

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Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems

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Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow

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Control Volume Approximation of Degenerate Two-Phase Porous Flows

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Reciprocal Relations in Irreversible Processes. II.

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Unconditionally Bound Preserving and Energy Dissipative Schemes for a Class of Keller--Segel Equations

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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An entropy stable high-order discontinuous Galerkin method for cross-diffusion gradient flow systems

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A second order numerical scheme for the annealing of metal-intermetallic laminate composite: a ternary reaction system

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Identifiers

zbMATH Open document ID

1450.65094

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DOI

10.1137/20M1316093

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4970513