Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations
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Publication:2133566
DOI10.1016/j.jcp.2021.110777OpenAlexW3210498038MaRDI QIDQ2133566
Zhongming Wang, Peimeng Yin, Hui Yu, Hai-liang Liu
Publication date: 4 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.00101
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Related Items (2)
Direct numerical simulation of electrokinetic transport phenomena in fluids: variational multi-scale stabilization and octree-based mesh refinement ⋮ A dynamic mass transport method for Poisson-Nernst-Planck equations
Cites Work
- Unnamed Item
- An entropy satisfying discontinuous Galerkin method for nonlinear Fokker-Planck equations
- A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
- Recovery of normal derivatives from the piecewise \(L^2\) projection
- Second-order Poisson-Nernst-Planck solver for ion transport
- A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids
- Energetically stable discretizations for charge transport and electrokinetic models
- Numerical solutions of partial differential equations
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- Convergent discretizations for the Nernst-Planck-Poisson system
- A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials
- 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
- A discontinuous Galerkin spectral/\(hp\) method on hybrid grids
- Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations
- Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations
- Structure-preserving and efficient numerical methods for ion transport
- A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations
- Third order maximum-principle-satisfying DG schemes for convection-diffusion problems with anisotropic diffusivity
- Invariant-region-preserving DG methods for multi-dimensional hyperbolic conservation law systems, with an application to compressible Euler equations
- A positivity preserving and free energy dissipative difference scheme for the Poisson-Nernst-Planck system
- The entropy satisfying discontinuous Galerkin method for Fokker-Planck equations
- Linearized conservative finite element methods for the Nernst-Planck-Poisson equations
- Strong Stability-Preserving High-Order Time Discretization Methods
- Maximum-Principle-Satisfying Third Order Discontinuous Galerkin Schemes for Fokker--Planck Equations
- Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations
- Dielectric Boundary Force in Molecular Solvation with the Poisson–Boltzmann Free Energy: A Shape Derivative Approach
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Minimization of Electrostatic Free Energy and the Poisson–Boltzmann Equation for Molecular Solvation with Implicit Solvent
- An invariant‐region‐preserving limiter for DG schemes to isentropic Euler equations
- Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation
- Unconditional Positivity-Preserving and Energy StableSchemesforaReducedPoisson-Nernst-Planck System
- Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations
- The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
- The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
- An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation
- Numerical Solution of 3D Poisson-Nernst-Planck Equations Coupled with Classical Density Functional Theory for Modeling Ion and Electron Transport in a Confined Environment
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