Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
---|---|
Pages (from-to) | 1-21 |
Journal / Publication | Numerische Mathematik |
Volume | 144 |
Issue number | 1 |
Online published | 10 Oct 2019 |
Publication status | Published - Jan 2020 |
Link(s)
Abstract
We present a patch-based equilibrated flux recovery procedure for the conforming finite element approximation to diffusion problems. The recovered flux is computed as the solution to a local constraint-free minimization problem on each patch. The approach is valid for higher order conforming elements in both two and three dimensions. The resulting estimator admits guaranteed reliability and the robust local efficiency is proved under the quasi-monotonicity condition of the diffusion coefficient. Numerical experiments are given to confirm the theoretical results.
Citation Format(s)
Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems. / Cai, Difeng; Cai, Zhiqiang; Zhang, Shun.
In: Numerische Mathematik, Vol. 144, No. 1, 01.2020, p. 1-21.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review