In this paper, the local averaging based a posteriori finite element error control for a class of nonlinear elliptic equations is investigated. It is shown by both theory and practice that the error control is reliable and the associated adaptive computation is efficient for problems with smooth dat
✦ LIBER ✦
A finite element recovery approach to Green’s function approximations with applications to electrostatic potential computation
✍ Scribed by Ying Yang; Aihui Zhou
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 665 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
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.
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