Mixed finite element method for modified Poisson-Nernst-Planck/Navier-Stokes equations

DOI10.1007/s10915-021-01478-zzbMath1473.65197OpenAlexW3157921533MaRDI QIDQ2028541

Mingyan He, Pengtao Sun

Publication date: 1 June 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01478-z

zbMATH Keywords

fourth-order elliptic equationoptimal convergencestabilized mixed finite elementmodified Poisson-Nernst-Planck/Navier-Stokes (PNP/NS) coupling systemTaylor-Hood mixed element

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electro- and magnetostatics (78A30) Ginzburg-Landau equations (35Q56)

Related Items (5)

On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces ⋮ New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces ⋮ A weak Galerkin finite element method for 1D semiconductor device simulation models ⋮ 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

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