Residual-based a posteriori error estimate for a nonconforming Reissner-Mindlin plate finite element

被引：16
|
作者：
Carstensen, C
机构：
[1] Vienna Univ Technol, Inst Appl Math & Numer Anal, A-1040 Vienna, Austria
[2] Math Sci Res Inst, Berkeley, CA 94720 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2002年 / 39卷 / 06期
关键词：
Reissner-Mindlin; plate; a posteriori error estimates; adaptive algorithm; reliability; efficiency; mixed finite element method; nonconforming finite element method;
D O I：
10.1137/S0036142900371477
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：2034 / 2044
页数：11
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