TWO-SCALE FINITE ELEMENT GREEN'S FUNCTION APPROXIMATIONS WITH APPLICATIONS TO ELECTROSTATIC POTENTIAL COMPUTATION  

作　　者：Ying YANG Aihui ZHOU 

机构地区：[1]Department of Computational Science and Mathematics, Guilin University of Electronic Technology, Guilin 541004, China. [2]The State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.

出　　处：《Journal of Systems Science & Complexity》2010年第1期177-193,共17页系统科学与复杂性学报（英文版）

基　　金：partially supported by the National Science Foundation of China under Grant Nos. 10425105 and 10871198;the National Basic Research Program under Grant No. 2005CB321704

摘　　要：In this paper,a two-scale finite element approach is proposed and analyzed for approximationsof Green's function in three-dimensions.This approach is based on a two-scale finite elementspace defined,respectively,on the whole domain with size H and on some subdomain containing singularpoints with size h (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 equationssuccessfully.

关 键 词：Error analysis finite element Green＇s function Poisson-Boltzmann equation two-scale. 

分 类 号：O241.82[理学—计算数学] O175.8[理学—数学]