Name
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) and L2(H1) norms, and suboptimal error estimates in L∞(L2) norm, with linear element, and optimal error estimates in 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. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.cam.2016.01.028 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Poisson–Nernst–Planck equations,Finite element method,A priori error estimates,Semi-discretization,Full discretization,Crank–Nicolson scheme | Mathematical optimization,Mathematical analysis,A priori and a posteriori,Quadratic equation,Extended finite element method,Finite element method,Linear element,Poisson distribution,Mathematics,Mixed finite element method,Nernst equation | Journal |
Volume | Issue | ISSN |
301 | C | 0377-0427 |
Citations | PageRank | References |
5 | 0.52 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yuzhou Sun | 1 | 6 | 1.94 |
| Pengtao Sun | 2 | 28 | 10.06 |
| Bin Zheng | 3 | 18 | 2.73 |
| Guang Lin | 4 | 223 | 38.16 |