On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations
DOI10.5802/crmath.421OpenAlexW4282831400MaRDI QIDQ2683210
Clément Cancès, Juliette Venel
Publication date: 3 February 2023
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.05133
Fokker-Planck equationfinite volume schemeconvection-diffusion equationsdrift-diffusion equationsexclusion jump process
Numerical computation of solutions to systems of equations (65H10) Diffusion (76R50) 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) Initial-boundary value problems for second-order parabolic systems (35K51) Fokker-Planck equations (35Q84) Electrochemistry (78A57) Jump processes on general state spaces (60J76)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion
- On the Chang and Cooper scheme applied to a linear Fokker-Planck equation
- TP or not TP, that is the question
- Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure
- Fisher information regularization schemes for Wasserstein gradient flows
- A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems
- A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure
- Jump processes as generalized gradient flows
- Primal dual methods for Wasserstein gradient flows
- A variational finite volume scheme for Wasserstein gradient flows
- A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs
- A Square Root Approximation of Transition Rates for a Markov State Model
- Asymptotic Behavior of the Scharfetter–Gummel Scheme for the Drift-Diffusion Model
- Lyapunov functionals for boundary-driven nonlinear drift–diffusion equations
- A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems
- An augmented Lagrangian approach to Wasserstein gradient flows and applications
- Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes
- Numerical analysis of a finite volume scheme for a seawater intrusion model with cross‐diffusion in an unconfined aquifer
- Convergences of the squareroot approximation scheme to the Fokker–Planck operator
- Topologie et équations fonctionnelles
- A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model
- Consistency and convergence for a family of finite volume discretizations of the Fokker–Planck operator
- Why Do We Need Voronoi Cells and Delaunay Meshes?
- Nonlinear Cross-Diffusion with Size Exclusion
- Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation
- Large-time behaviour of a family of finite volume schemes for boundary-driven convection–diffusion equations
This page was built for publication: On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations
