Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable

被引：5
|
作者：
Boesing, Paulo Rafael [1 ]
Carstensen, Carsten [2 ]
机构：
[1] Univ Fed Santa Catarina, Dept Math, BR-88040900 Florianopolis, SC, Brazil
[2] Humboldt Univ, Inst Math, D-10099 Berlin, Germany
来源：
NUMERISCHE MATHEMATIK | 2015年 / 130卷 / 03期
关键词：
POSTERIORI ERROR ANALYSIS; FINITE-ELEMENT METHODS; BIHARMONIC EQUATION; A-PRIORI; MODEL; REGULARITY; FAMILY;
D O I：
10.1007/s00211-014-0672-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces a new locking-free formulation that combines the discontinuous Galerkin methods with weakly over-penalized techniques for Reissner-Mindlin plates. We derive optimal a priori error estimates in both the energy norm and norm for polynomials of degree , and we extend the results concerning the energy norm to higher-order polynomial degrees. Numerical tests confirm our theoretical predictions.
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页码：395 / 423
页数：29
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