Nonconforming locking-free finite elements for Reissner-Mindlin plates

被引:35
作者
Chinosi, C.
Lovadina, C.
Marini, L. D.
机构
[1] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
[2] CNR, IMATI, I-27100 Pavia, Italy
关键词
finite element methods; Reissner-Mindlin plates; nonconforming methods; error analysis;
D O I
10.1016/j.cma.2005.06.025
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We prove optimal error estimates in L-2 for a nonconforming finite element for Reissner-Mindlin plates recently introduced in [C. Lovadina, A low-order nonconforming finite element for Reissner-Mindlin plates, SIAM J. Numer. Anal. 42 (2005) 2688-2705]. Moreover, we present numerical experiments using this element and other two nonconforming elements analyzed in [F. Brezzi, L.D. Marini, A nonconforming element for the Reissner-Mindlin plate, Comput. Struct. 81 (2003) 515-522]. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:3448 / 3460
页数:13
相关论文
共 13 条
[1]  
Agmon S., 1965, Van Nostrand Mathematical Studies
[2]   Unified analysis of discontinuous Galerkin methods for elliptic problems [J].
Arnold, DN ;
Brezzi, F ;
Cockburn, B ;
Marini, LD .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2002, 39 (05) :1749-1779
[3]   A family of Discontinuous Galerkin finite elements for the Reissner-Mindlin plate [J].
Arnold, DN ;
Brezzi, F ;
Marini, LD .
JOURNAL OF SCIENTIFIC COMPUTING, 2005, 22-3 (01) :25-45
[4]   A UNIFORMLY ACCURATE FINITE-ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE [J].
ARNOLD, DN ;
FALK, RS .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1989, 26 (06) :1276-1290
[5]   AN INTERIOR PENALTY FINITE-ELEMENT METHOD WITH DISCONTINUOUS ELEMENTS [J].
ARNOLD, DN .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1982, 19 (04) :742-760
[6]   A nonconforming element for the Reissner-Mindlin plate [J].
Brezzi, F ;
Marini, LD .
COMPUTERS & STRUCTURES, 2003, 81 (8-11) :515-522
[7]  
BREZZI F, 1986, MATH COMPUT, V47, P151, DOI 10.1090/S0025-5718-1986-0842127-7
[8]  
Brezzi F., 2012, MIXED HYBRID FINITE, V15
[9]   An optimal low-order locking-free finite element method for Reissner-Mindlin plates [J].
Chapelle, D ;
Stenberg, R .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1998, 8 (03) :407-430
[10]  
CHINOSI C, 1995, COMPUT MECH, V16, P36