Cai, Z;
He, C;
Zhang, S;
(2017)
Improved ZZ a posteriori error estimators for diffusion problems: Conforming linear elements.
Computer Methods in Applied Mechanics and Engineering
, 313
pp. 433-449.
10.1016/j.cma.2016.10.006.
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Abstract
In Cai and Zhang (2009), we introduced and analyzed an improved Zienkiewicz–Zhu (ZZ) estimator for the conforming linear finite element approximation to elliptic interface problems. The estimator is based on the piecewise “constant” flux recovery in the View the MathML source conforming finite element space. This paper extends the results of Cai and Zhang (2009) to diffusion problems with full diffusion tensor and to the flux recovery both in piecewise constant and piecewise linear View the MathML source space.
| Type: | Article |
|---|---|
| Title: | Improved ZZ a posteriori error estimators for diffusion problems: Conforming linear elements |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.cma.2016.10.006 |
| Publisher version: | http://doi.org/10.1016/j.cma.2016.10.006 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Finite element method; A posteriori error estimation; Adaptive mesh refinement; Diffusion problem |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10028002 |
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