Dr. Ruigang Shen, (ICMSEC, AMSS)

Local Averaging Type a Posteriori Error Estimates for the Nonlinear Steady-state Poisson-Nernst-Planck Equations

Wednesday 9 December, 16:00-17:00 pm, N202

In this talk, we first briefly introduce the model, calculation, analysis and related difficulties of the classic PNP equation, and some interesting points for PNP, for example, “PNP What is in a Name?” by Robert S. Eisenberg. Then a posteriori error estimates are studied for a class of modified nonlinear stead-state Poisson-Nernst-Planck equations (MNSPNPE), which are a coupled system consisting of the modified Nernst-Planck equation and the Poisson equation. In particular, the MNSPNPE can be reduced to the classic PNP equations when the special coefficients are taken. Both the global upper bounds and the local lower bounds of the error estimators are obtained by using a local averaging operator. Numerical experiments are given to confirm the reliability and efficiency of the error estimators. 

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