为了运用广义自适应算法求解Poisson-Nernst-Planck(PNP)方程及Nernst-Planck(NP)方程,分别针对PNP方程和NP方程的有限元离散形式,采用算子分解迭代法将误差分解为解析迭代误差和数值误差,并给出数值误差的一类后验误差估计。
In order to solve Poisson-Nernst-Planck (PNP) equations and Nernst-Planck (NP) equations by using the general- ized adaptive algorithm, the error of the finite element discretization form is decomposed into the analytic iterative error and the numerical error by the operator decomposition iterative method. A posteriori error estimate for the numerical error is ob- tained.