Positive and free energy satisfying schemes for diffusion with interaction potentials
From MaRDI portal
Publication:2125412
DOI10.1016/j.jcp.2020.109483OpenAlexW3041817304MaRDI QIDQ2125412
Wumaier Maimaitiyiming, Hai-liang Liu
Publication date: 14 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.00151
Related Items
Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations ⋮ A positivity‐preserving and energy stable scheme for a quantum diffusion equation ⋮ Positivity preserving temporal second-order spatial fourth-order conservative characteristic methods for convection dominated diffusion equations ⋮ Convergence analysis of structure‐preserving numerical methods for nonlinear Fokker–Planck equations with nonlocal interactions ⋮ An Energy Stable and Positivity-Preserving Scheme for the Maxwell--Stefan Diffusion System ⋮ Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A nonlocal continuum model for biological aggregation
- A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
- A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation
- Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
- On the Chang and Cooper scheme applied to a linear Fokker-Planck equation
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Initiation of slime mold aggregation viewed as an instability
- The Fokker-Planck equation. Methods of solution and applications.
- A convexity principle for interacting gases
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Convergence of a linearly transformed particle method for aggregation equations
- 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
- Structure preserving schemes for nonlinear Fokker-Planck equations and applications
- Asymptotic states of a Smoluchowski equation
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
- A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy
- A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
- The entropy satisfying discontinuous Galerkin method for Fokker-Planck equations
- Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential
- A practical difference scheme for Fokker-Planck equations
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- A blob method for the aggregation equation
- An Entropy Satisfying Conservative Method for the Fokker–Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model
- Random walk with persistence and external bias
- Maximum-Principle-Satisfying Third Order Discontinuous Galerkin Schemes for Fokker--Planck Equations
- Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations
- An augmented Lagrangian approach to Wasserstein gradient flows and applications
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Polar factorization and monotone rearrangement of vector‐valued functions
- The Variational Formulation of the Fokker--Planck Equation
- Semidual Regularized Optimal Transport
- On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- Unconditional Positivity-Preserving and Energy StableSchemesforaReducedPoisson-Nernst-Planck System
- A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
- Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
