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Improved ZZ a posteriori error estimators for diffusion problems: Conforming linear elements

delete2017-01-01
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Z
Zhiqiang Cai *
C
Cuiyu He
S
Shun Zhang
DOI:10.1016/j.cma.2016.10.006delete
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Abstract

Abstract

En 中文
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 H(div; Omega) 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 H(div) space. (C) 2016 Elsevier B.V. All rights reserved.
Keywords:
Finite element method
A posteriori error estimation
Adaptive mesh refinement
Diffusion problem
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Journal

Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
Papers:
1.3W
Citations:
5.6W

Organization

Purdue University System cover
Purdue University System
Scholars:
3.9W
Papers: 3.6W
Citations: 66
P
Purdue University
Scholars:
2.7W
Papers: 2.1W
Citations: 147