A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral meshes
From MaRDI portal
Publication:2074101
DOI10.1016/j.camwa.2021.12.019OpenAlexW4205169320MaRDI QIDQ2074101
Publication date: 4 February 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.12.019
mass conservationfinite volume schemepositivity-preservingPoisson-Nernst-Planck equationsvirtual element methodfree energy dissipation
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 difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes ⋮ A weak Galerkin finite element method for 1D semiconductor device simulation models ⋮ A linear, second-order accurate, positivity-preserving and unconditionally energy stable scheme for the Navier-Stokes-Poisson-Nernst-Planck system ⋮ Error estimates for the finite element method of the Navier-Stokes-Poisson-Nernst-Planck equations
Cites Work
- Unnamed Item
- Equivalent projectors for virtual element methods
- A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
- A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
- Polygonal finite element methods for contact-impact problems on non-conformal meshes
- A nine-point scheme with explicit weights for diffusion equations on distorted meshes
- A mathematical model for the hard sphere repulsion in ionic solutions
- Second-order Poisson-Nernst-Planck solver for ion transport
- A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids
- A multigrid method for the Poisson-Nernst-Planck equations
- Monotone finite volume schemes for diffusion equations on polygonal meshes
- Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
- Convergent discretizations for the Nernst-Planck-Poisson system
- Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems
- Elliptic partial differential equations of second order
- A linearized local conservative mixed finite element method for Poisson-Nernst-Planck equations
- A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids
- A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems
- An energy preserving finite difference scheme for the Poisson-Nernst-Planck system
- Quasi-hydrodynamic semiconductor equations
- A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes
- A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations
- Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems
- Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations
- A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations
- A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations
- Relationship between the vertex-centered linearity-preserving scheme and the lowest-order virtual element method for diffusion problems on star-shaped polygons
- A survey on properties of Nernst-Planck-Poisson system. Application to ionic transport in porous media
- The hybrid high-order method for polytopal meshes. Design, analysis, and applications
- A positivity preserving and free energy dissipative difference scheme for the Poisson-Nernst-Planck system
- Linearized conservative finite element methods for the Nernst-Planck-Poisson equations
- Finite volume monotone scheme for highly anisotropic diffusion operators on unstructured triangular meshes. (Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés).
- Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
- A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
- 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids
- A monotone nonlinear finite volume method for approximating diffusion operators on general meshes
- The extended/generalized finite element method: An overview of the method and its applications
- 3D hybrid mesh generation for reservoir simulation
- Incompressible Ionized Non-Newtonian Fluid Mixtures
- Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
- The Debye system: existence and large time behavior of solutions
- Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
- An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh
- Recent techniques for PDE discretizations on polyhedral meshes
- The Hitchhiker's Guide to the Virtual Element Method
- A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
- A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore
- A virtual element method with arbitrary regularity
- Poisson–Nernst–Planck Systems for Ion Channels with Permanent Charges
- Conforming polygonal finite elements
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
