Zz Error Estimator

Alternating series error estimation

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In Cai and Zhang (2009), we introduced and analyzed an improved Zienkiewicz-Zhu (ZZ) estimator for the conforming linear finite element approximation to elliptic.

PDF Improved ZZ a posteriori error estimators for diffusion. – Improved ZZ a posteriori error estimators for diffusion problems: Conforming linear elements Zhiqiang Caia, ZZ error estimator and counterexamples

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Zienkiewicz-Zhu error estimator. The Zienkiewicz-Zhu error estimator [76], [77] tries to estimate the error made by the finite element discretization. To do so, it calculates for each node an improved stress and defines the error as the difference between this stress and the one calculated by the standard finite element.

Jul 7, 2009. A Test Problem for Zienkiewicz & Zhu error estimator. −∆u = 1 in Ω=(−1,1)2/[0,1] × [−1,0], u = 0 on ∂Ω. L Shape domain, singularity at the origin. Solved by linear conforming FEM and adaptive refined by ZZ error estimator. Figure: the initial mesh. Figure: mesh after several refinements. Shun Zhang (Purdue).

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In the context of the adaptive finite element method (FEM), ZZ-error estimators named after Zienkiewicz and Zhu (1987) [52] are mathematically well-established and widely used in practice. In this work, we propose and analyze ZZ-type error estimators for the adaptive boundary element method (BEM). We consider weakly.

Abstract. We consider a posteriori error estimators that can be applied to anisotropic tetrahedral finite element meshes, i.e. meshes where the aspect ratio of the elements can be arbitrarily large. Two kinds of Zienkiewicz–Zhu (ZZ) type error estimators are derived which originate from different backgrounds. In the course of.

Aug 2, 2015. Abstract: In cite{CaZh:09}, 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 conforming finite element space. This paper.

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Z-Z Estimator (ZZ_Estimator) — Error estimation by Zienkiewicz and Zhu's. The ZZ_Estimator compares the recovered and directly computed values of the given.

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