Residual-Based A Posteriori Error Estimate for a Nonconforming Reissner-Mindlin Plate Finite Element
Residual-Based A Posteriori Error Estimate for a Nonconforming Reissner-Mindlin Plate Finite Element
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DOI：
10.1137/s0036142900371477
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发表时间：
2001-06
期刊：
影响因子：
--
通讯作者：
C. Carstensen
中科院分区：
文献类型：
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作者：
C. Carstensen
可靠和有效的基于残差的后验误差估计建立了Reissner-Mindlin板的非线性有限元法由于Arnold和Falk [SIAM J. Numer.分析：26（1989），pp. 1276- 1290]。误差估计的可计算的误差估计从上方和下方的乘法常数，既不依赖于网格的大小，也不对板的厚度。误差控制在已知以准最优方式收敛到零的范数中。
Reliable and efficient residual-based a posteriori error estimates are established for the nonconforming finite element method for the Reissner--Mindlin plate due to Arnold and Falk [SIAM J. Numer. Anal., 26 (1989), pp. 1276--1290]. The error is estimated by a computable error estimator from above and below up to multiplicative constants that depend neither on the mesh-size nor on the plate's thickness. The error is controlled in norms that are known to converge to zero in a quasi-optimal way.