The a posteriori error estimates are studied for a class of nonlinear
stead-state Poisson-Nernst-Planck equations, which are a coupled system
consisting of the Nernst-Planck equation and the Poisson equation. 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

Fang, Mingjuan

Shen, Ruigang