A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral meshes
type: Item
instance of: scholarly article
title: A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral meshes
author: Shuai Su
author: Huazhong Tang
publication date: 2022-02-04T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 7469169
zbMATH Keywords: Poisson-Nernst-Planck equations
zbMATH Keywords: positivity-preserving
zbMATH Keywords: free energy dissipation
zbMATH Keywords: mass conservation
zbMATH Keywords: finite volume scheme
zbMATH Keywords: virtual element method
MaRDI profile type: Publication
full work available at URL: j.camwa.2021.12.019
OpenAlex ID: W4205169320
cites work: Equivalent projectors for virtual element methods
cites work: BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
cites work: The Hitchhiker's Guide to the Virtual Element Method
cites work: A virtual element method with arbitrary regularity
cites work: Recent techniques for PDE discretizations on polyhedral meshes
cites work: Polygonal finite element methods for contact-impact problems on non-conformal meshes
cites work: Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems
cites work: The Debye system: existence and large time behavior of solutions
cites work: A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
cites work: A monotone nonlinear finite volume method for approximating diffusion operators on general meshes
cites work: An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh
cites work: A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore
cites work: Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
cites work: Relationship between the vertex-centered linearity-preserving scheme and the lowest-order virtual element method for diffusion problems on star-shaped polygons
cites work: Poisson–Nernst–Planck Systems for Ion Channels with Permanent Charges
cites work: 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
cites work: 3D hybrid mesh generation for reservoir simulation
cites work: The extended/generalized finite element method: An overview of the method and its applications
cites work: A survey on properties of Nernst-Planck-Poisson system. Application to ionic transport in porous media
cites work: Linearized conservative finite element methods for the Nernst-Planck-Poisson equations
cites work: A linearized local conservative mixed finite element method for Poisson-Nernst-Planck equations
cites work: A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
cites work: A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
cites work: A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
cites work: Elliptic partial differential equations of second order
cites work: An energy preserving finite difference scheme for the Poisson-Nernst-Planck system
cites work: A positivity preserving and free energy dissipative difference scheme for the Poisson-Nernst-Planck system
cites work: A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations
cites work: A mathematical model for the hard sphere repulsion in ionic solutions
cites work: Quasi-hydrodynamic semiconductor equations
cites work: Q2577030
cites work: Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
cites work: A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
cites work: Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems
cites work: A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
cites work: A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems
cites work: Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
cites work: A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids
cites work: The hybrid high-order method for polytopal meshes. Design, analysis, and applications
cites work: Convergent discretizations for the Nernst-Planck-Poisson system
cites work: Incompressible Ionized Non-Newtonian Fluid Mixtures
cites work: A multigrid method for the Poisson-Nernst-Planck equations
cites work: Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations
cites work: A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations
cites work: Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle
cites work: A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes
cites work: Conforming polygonal finite elements
cites work: Q4947421
cites work: A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations
cites work: A nine-point scheme with explicit weights for diffusion equations on distorted meshes
cites work: Monotone finite volume schemes for diffusion equations on polygonal meshes
cites work: A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids
cites work: Second-order Poisson-Nernst-Planck solver for ion transport
DOI: 10.1016/J.CAMWA.2021.12.019
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7469169