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

Authors:
Ying Yang;Aihui Zhou
Affiliations:
Department of Computational Science and Mathematics, Guilin University of Electronic Technology, Guangxi 541004, China;LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

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.