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Optimal Error Estimates of Coupled and Divergence-Free Virtual Element Methods for the Poisson–Nernst–Planck/Navier–Stokes Equations and Applications in Electrochemical Systems
Linear, second-order, unconditionally energy stable scheme for an electrohydrodynamic model with variable density and conductivity
Mingyang Pan, Chengxing Fu, Wenxing Zhu, Fengyu Jiao and Dongdong He Communications in Nonlinear Science and Numerical Simulation 125 107329 (2023) https://doi.org/10.1016/j.cnsns.2023.107329
New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces
Claudio I. Correa, Gabriel N. Gatica and Ricardo Ruiz-Baier ESAIM: Mathematical Modelling and Numerical Analysis 57(3) 1511 (2023) https://doi.org/10.1051/m2an/2023024
Stable and decoupled schemes for an electrohydrodynamics model
Newton Solvers for Drift-Diffusion and Electrokinetic Equations
Arthur Bousquet, Xiaozhe Hu, Maximilian S. Metti and Jinchao Xu SIAM Journal on Scientific Computing 40(3) B982 (2018) https://doi.org/10.1137/17M1146956
Mixed finite element analysis for the Poisson–Nernst–Planck/Stokes coupling
Adaptive and iterative methods for simulations of nanopores with the PNP–Stokes equations
Gregor Mitscha-Baude, Andreas Buttinger-Kreuzhuber, Gerhard Tulzer and Clemens Heitzinger Journal of Computational Physics 338 452 (2017) https://doi.org/10.1016/j.jcp.2017.02.072
Efficient Time-Stepping/Spectral Methods for the Navier-Stokes-Nernst-Planck-Poisson Equations
Sur le système de Nernst-Planck-Poisson-Boltzmann résultant de l’homogénéisation par convergence à double échelle
Gérard Gagneux and Olivier Millet Annales de la Faculté des sciences de Toulouse : Mathématiques 23(1) 1 (2014) https://doi.org/10.5802/afst.1396
A DIFFUSE INTERFACE MODEL FOR ELECTROWETTING WITH MOVING CONTACT LINES
RICARDO H. NOCHETTO, ABNER J. SALGADO and SHAWN W. WALKER Mathematical Models and Methods in Applied Sciences 24(01) 67 (2014) https://doi.org/10.1142/S0218202513500474
Regularity criteria for a mathematical model for the deformation of electrolyte droplets
A stabilized finite element method for the numerical simulation of multi-ion transport in electrochemical systems
Georg Bauer, Volker Gravemeier and Wolfgang A. Wall Computer Methods in Applied Mechanics and Engineering 223-224 199 (2012) https://doi.org/10.1016/j.cma.2012.02.003
Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes