Energetically stable discretizations for charge transport and electrokinetic models
DOI10.1016/j.jcp.2015.10.053zbMath1351.78040arXiv1503.04471OpenAlexW2117259292MaRDI QIDQ729307
Maximilian S. Metti, Chun Liu, Jin-Chao Xu
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.04471
Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Composite media; random media in optics and electromagnetic theory (78A48) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items (41)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A simple preconditioner for a discontinuous Galerkin method for the Stokes problem
- A mathematical model for the hard sphere repulsion in ionic solutions
- Automated solution of differential equations by the finite element method. The FEniCS book
- L\({}_{\infty}\) stability of finite element approximations to elliptic gradient equations
- Convergent discretizations for the Nernst-Planck-Poisson system
- Finite element methods for convection-diffusion problems using exponential splines on triangles
- The finite volume Scharfetter-Gummel method for steady convection diffusion equations
- Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems
- Energetic variational approach in complex fluids: maximum dissipation principle
- Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
- Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system
- Consistency of Semiconductor Modeling: An Existence/Stability Analysis for the Stationary Van Roosbroeck System
- A Weak Discrete Maximum Principle and Stability of the Finite Element Method in L ∞ on Plane Polygonal Domains. I
- Mixed and Hybrid Finite Element Methods
- A monotone finite element scheme for convection-diffusion equations
- The Debye system: existence and large time behavior of solutions
- Newton Solvers for Drift-Diffusion and Electrokinetic Equations
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- Numerical Solution of 3D Poisson-Nernst-Planck Equations Coupled with Classical Density Functional Theory for Modeling Ion and Electron Transport in a Confined Environment
- Modeling and simulating asymmetrical conductance changes in gramicidin pores
This page was built for publication: Energetically stable discretizations for charge transport and electrokinetic models