A virtual element method for the steady-state Poisson-Nernst-Planck equations on polygonal meshes
DOI10.1016/j.camwa.2021.10.002OpenAlexW3205709828MaRDI QIDQ2239104
Huayi Wei, Ying Yang, Shi Shu, Yang Liu
Publication date: 2 November 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.10.002
PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Equivalent projectors for virtual element methods
- A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
- A multigrid method for the Poisson-Nernst-Planck equations
- On the basic equations for carrier transport in semiconductors
- High-order virtual element method on polyhedral meshes
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- Some error analysis on virtual element methods
- Virtual element method for simplified friction problem
- A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations
- The conforming virtual element method for polyharmonic problems
- Some estimates for virtual element methods
- Virtual element methods for elliptic variational inequalities of the second kind
- Linearized conservative finite element methods for the Nernst-Planck-Poisson equations
- Discontinuous Galerkin methods for solving a quasistatic contact problem
- Time-dependent modelling and asymptotic analysis of electrochemical cells
- Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- A Singular Perturbation Analysis of Reverse-Biased Semiconductor Diodes
- Virtual element methods for parabolic problems on polygonal meshes
- A Poisson–Nernst–Planck Model for Biological Ion Channels—An Asymptotic Analysis in a Three-Dimensional Narrow Funnel
- Steady state solutions of diffusion-reaction systems with electrostatic convection
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Stability analysis for the virtual element method
- Centroidal Voronoi Tessellations: Applications and Algorithms
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations
- An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh
- The Hitchhiker's Guide to the Virtual Element Method
- A Finite Element Approximation Theory for the Drift Diffusion Semiconductor Model
- A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations
- Theory of the Flow of Electrons and Holes in Germanium and Other Semiconductors
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- The NonConforming Virtual Element Method for the Stokes Equations
- Two- and three-dimensional Poisson--Nernst--Planck simulations of current flow through gramicidin A
- Error analysis of finite element method for Poisson-Nernst-Planck equations
This page was built for publication: A virtual element method for the steady-state Poisson-Nernst-Planck equations on polygonal meshes
