论文标题
非线性稳态Poisson-Nernst-planck方程的本地平均A型后验错误估计
Local Averaging Type a Posteriori Error Estimates for the Nonlinear Steady-state Poisson-Nernst-Planck Equations
论文作者
论文摘要
研究了一类非线性稳态poisson-nernst-planck方程的A后验误差估计值，该方程是由Nernst-Planck方程和Poisson方程组成的耦合系统。通过使用局部平均操作员获得误差估计器的全局上限和局部下限。进行数值实验以确认误差估计器的可靠性和效率。
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.
