Two-scale finite element Green’s function approximations with applications to electrostatic potential computation
Two-scale finite element Green’s function approximations with applications to electrostatic potential computation
复制标题
DOI：
10.1007/s11424-010-9274-3
复制
发表时间：
2010-02
影响因子：
2.1
通讯作者：
Ying Yang;Aihui Zhou
中科院分区：
文献类型：
--
作者：
Ying Yang;Aihui Zhou
本文提出了一种双尺度有限元方法，并对三维格林函数的逼近进行了分析。该方法基于一个双尺度有限元空间，分别定义在整个sizeH域上和包含sizeh(h≪H)奇异点的子域上。结果表明，这种双尺度离散化方法是非常有效的。特别是将双尺度离散化方法成功地应用于Poisson-Boltzmann方程的求解。
In this paper, a two-scale finite element approach is proposed and analyzed for approximations of Green’s function in three-dimensions. This approach is based on a two-scale finite element space defined, respectively, on the whole domain with sizeHand on some subdomain containing singular points with sizeh(h≪H). It is shown that this two-scale discretization approach is very efficient. In particular, the two-scale discretization approach is applied to solve Poisson-Boltzmann equations successfully.