Nonconforming locking-free finite elements for Reissner-Mindlin plates

C. Chinosi; C. Lovadina; L. D. Marini

doi:10.1016/j.cma.2005.06.025

Nonconforming locking-free finite elements for Reissner-Mindlin plates

C. Chinosi, C. Lovadina, L. D. Marini

Research output: Contribution to journal › Article › peer-review

Abstract

We prove optimal error estimates in L² 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].

Original language	English
Pages (from-to)	3448-3460
Number of pages	13
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	195
Issue number	25-28
DOIs	https://doi.org/10.1016/j.cma.2005.06.025
Publication status	Published - 1 May 2006
Externally published	Yes

Keywords

Error analysis
Finite element methods
Nonconforming methods
Reissner-Mindlin plates

Access to Document

10.1016/j.cma.2005.06.025

Cite this

@article{b2e86ce4277a4167bd4e9533848168be,

title = "Nonconforming locking-free finite elements for Reissner-Mindlin plates",

abstract = "We prove optimal error estimates in L2 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].",

keywords = "Error analysis, Finite element methods, Nonconforming methods, Reissner-Mindlin plates",

author = "C. Chinosi and C. Lovadina and Marini, \{L. D.\}",

year = "2006",

month = may,

day = "1",

doi = "10.1016/j.cma.2005.06.025",

language = "English",

volume = "195",

pages = "3448--3460",

journal = "Computer Methods in Applied Mechanics and Engineering",

issn = "0045-7825",

publisher = "Elsevier B.V.",

number = "25-28",

}

TY - JOUR

T1 - Nonconforming locking-free finite elements for Reissner-Mindlin plates

AU - Chinosi, C.

AU - Lovadina, C.

AU - Marini, L. D.

PY - 2006/5/1

Y1 - 2006/5/1

N2 - We prove optimal error estimates in L2 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].

AB - We prove optimal error estimates in L2 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].

KW - Error analysis

KW - Finite element methods

KW - Nonconforming methods

KW - Reissner-Mindlin plates

UR - https://www.scopus.com/pages/publications/33645902545

U2 - 10.1016/j.cma.2005.06.025

DO - 10.1016/j.cma.2005.06.025

M3 - Article

SN - 0045-7825

VL - 195

SP - 3448

EP - 3460

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 25-28

ER -

Nonconforming locking-free finite elements for Reissner-Mindlin plates

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this