Residual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element method
Residual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element method
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DOI：
10.1007/s00211-005-0669-3
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发表时间：
2006-04
影响因子：
2.1
通讯作者：
C. Carstensen;J. Schöberl
中科院分区：
文献类型：
--
作者：
C. Carstensen;J. Schöberl
针对Reissner-Mindlin板模型，建立了可靠、有效的基于残差的后验误差估计方法。误差由可计算误差估计器从上到下直至相乘常数估计，这些常数既不依赖于网格尺寸也不依赖于板的厚度，并且对于大范围的稳定参数是均匀的。误差控制在已知以准最优方式收敛于零的规范中。本文提出了一种自适应算法，并通过三个数值算例对厚度为0.1、1、2时的收敛速度进行了改进。001和。001。
Reliable and efficient residual-based a posteriori error estimates are established for the stabilised locking-free finite element methods for the Reissner-Mindlin plate model. The error is estimated by a computable error estimator from above and below up to multiplicative constants that do neither depend on the mesh-size nor on the plate's thickness and are uniform for a wide range of stabilisation parameter. The error is controlled in norms that are known to converge to zero in a quasi-optimal way. An adaptive algorithm is suggested and run for improving the convergence rates in three numerical examples for thicknesses 0.1, .001 and .001.