Unconditional Positivity-Preserving and Energy StableSchemesforaReducedPoisson-Nernst-Planck System
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Publication:5162157
DOI10.4208/cicp.OA-2019-0063zbMath1473.65263arXiv1909.13161MaRDI QIDQ5162157
Wumaier Maimaitiyiming, Hai-liang Liu
Publication date: 1 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.13161
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Physiological flow (92C35) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (10)
Positive and free energy satisfying schemes for diffusion with interaction potentials ⋮ Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations ⋮ Fully decoupled and energy stable BDF schemes for a class of Keller-Segel equations ⋮ A positivity‐preserving and energy stable scheme for a quantum diffusion equation ⋮ Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes ⋮ A High-Accurate Fast Poisson Solver Based on Harmonic Surface Mapping Algorithm ⋮ Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems ⋮ An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis ⋮ A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system ⋮ A dynamic mass transport method for Poisson-Nernst-Planck equations
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