Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637910 | Journal of Computational and Applied Mathematics | 2016 | 16 Pages |
Abstract
In this paper we study the a priori error estimates of finite element method for the system of time-dependent Poisson–Nernst–Planck equations, and for the first time, we obtain its optimal error estimates in L∞(H1)L∞(H1) and L2(H1)L2(H1) norms, and suboptimal error estimates in L∞(L2)L∞(L2) norm, with linear element, and optimal error estimates in L∞(L2)L∞(L2) norm with quadratic or higher-order element, for both semi- and fully discrete finite element approximations. Numerical experiments are also given to validate the theoretical results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuzhou Sun, Pengtao Sun, Bin Zheng, Guang Lin,