Mixed finite element analysis for the Poisson–Nernst–Planck/Stokes coupling

作者：

Highlights：

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• A stable mixed FEM is developed for Poisson–Nernst–Planck (PNP)/Stokes coupling.

• Optimal error estimates are obtained for all variables in and norms.

• The accuracy of the mixed FEM is higher than that of the standard FEM.

• Both Poisson equation and Stokes equations adopt the same Taylor–Hood element.

• The electric field achieves higher approximation accuracy than the standard FEM.

摘要

•A stable mixed FEM is developed for Poisson–Nernst–Planck (PNP)/Stokes coupling.•Optimal error estimates are obtained for all variables in and norms.•The accuracy of the mixed FEM is higher than that of the standard FEM.•Both Poisson equation and Stokes equations adopt the same Taylor–Hood element.•The electric field achieves higher approximation accuracy than the standard FEM.

论文关键词：Poisson–Nernst–Planck/Stokes coupling,Mixed finite element method,Taylor–Hood element,Semi-discretization,Full discretization,The optimal error estimate

论文评审过程：Received 7 December 2016, Revised 7 April 2018, Available online 17 April 2018, Version of Record 3 May 2018.

论文官网地址：https://doi.org/10.1016/j.cam.2018.04.003