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  • 天元讲堂(6.27)A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson—Nernst--Planck systems
  • 浏览量:213 发布人:佚名 发布时间:2017-06-19 15:42:11
  • Speaker: Professor Zhongming Wang, Florida International University

    时间:6.27 14:00-15:00

    地点:维格堂319

    Abstract:  

    We design an arbitrary-order free energy satisfying discontinuous Galerkin (DG) method for solving time-
    dependent Poisson-Nernst-Planck systems. Both the semi-discrete and fully discrete DG methods are shown to
    satisfy the corresponding discrete free energy dissipation law for positive numerical solutions. Positivity of
    numerical solutions is enforced by an accuracy-preserving limiter in reference to positive cell averages.
    Numerical examples are presented to demonstrate the high resolution of the numerical algorithm and to illustrate
    the proven properties of mass conservation, free energy dissipation, as well as the preservation of steady states.

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