Superconvergence recovery technique and a posteriori error estimators

Superconvergence recovery technique and a posteriori error estimators
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DOI:
10.1002/nme.1620300707
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发表时间:
1990-11
影响因子:
2.9
通讯作者:
J. Z. Zhu;O. Zienkiewicz
J. Z. Zhu;O. Zienkiewicz
中科院分区:
工程技术3区
文献类型:
--
作者:
J. Z. Zhu;O. Zienkiewicz

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本文提出并讨论了一维问题有限元解的一种新的超收敛恢复技术。利用恢复技术,给出了任意阶有限元能量模和最大模的后验误差估计。能量范数误差估计量的后处理和残差类型之间的关系也得到了证明。
A new superconvergence recovery technique for finite element solutions is presented and discussed for one dimensional problems. By using the recovery technique a posteriori error estimators in both energy norm and maximum norm are presented for finite elements of any order. The relation between the postprocessing and residual types of energy norm error estimators has also been demonstrated.