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arXiv · 2001.00337

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

Ying Yang·Ruigang Shen·Mingjuan Fang·Shi Shu
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Abstract

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.

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Ying Yang, Ruigang Shen, Mingjuan Fang, Shi Shu. 2020-01-09. Local Averaging Type a Posteriori Error Estimates for the Nonlinear Steady-state Poisson-Nernst-Planck Equations. https://arxiv.org/abs/2001.00337

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