A finite element recovery approach to Green's function approximations with applications to electrostatic potential computation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:225

Article

Yang, Ying²  Zhou, Aihui¹ 

[1] Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Guilin Univ Elect Technol, Dept Math & Computat Sci, Guangxi 541004, Peoples R China

关键词: Finite element;    Green's function;    Recovery approach;    Three dimensions;    Electrostatic potential;    Poisson-Boltzmann equation;   

DOI  :  10.1016/j.cam.2008.07.024

来源: Elsevier

【 摘 要 】

In this paper, a finite element recovery approach is proposed to improve the accuracy of finite element approximations for Green's functions in three dimensions. This recovery approach is based on some simple postprocessing. It is proved by both theory and numerics that the recovery approach is very efficient. In particular, the approach is successfully applied to some electrostatic potential computations. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free