Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations and applications in electrochemical systems
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Publication:6158993
DOI10.1007/s10915-023-02126-4zbMath1515.65212arXiv2207.02455OpenAlexW4319662866MaRDI QIDQ6158993
Ricardo Ruiz-Baier, Zeinab Gharibi, Mehdi Dehghan
Publication date: 20 June 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.02455
optimal convergencemicrofluidic systemsmixed virtual element methodelectrokinetic instabilitycharged species transportcoupled Poisson-Nernst-Planck/Navier-Stokes equationswater desalination
Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
Related Items (5)
New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces ⋮ A stabilized divergence-free virtual element scheme for the nematic liquid crystal flows ⋮ 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 ⋮ A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form
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