Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system

DOI10.1016/j.camwa.2021.03.008OpenAlexW3156500917MaRDI QIDQ2027639

Zeinab Gharibi, Mostafa Abbaszadeh, Mehdi Dehghan

Publication date: 27 May 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.03.008

zbMATH Keywords

optimal error boundPoisson-Nernst-Planck systemdual-mixed formulationequation of the electrostatic potentialequations of ionic concentrationsweak Galerkin mixed finite element method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

A weak Galerkin/finite difference method for time-fractional biharmonic problems in two dimensions ⋮ Error estimates for the finite element method of the Navier-Stokes-Poisson-Nernst-Planck equations ⋮ Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations and applications in electrochemical systems ⋮ Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model ⋮ An analysis of weak Galerkin finite element method for a steady state Boussinesq problem

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