A new approach for approximating linear elasticity problems

Philippe G. Ciarlet; Patrick Ciarlet

doi:10.1016/j.crma.2008.01.014

A new approach for approximating linear elasticity problems

Philippe G. Ciarlet
, Patrick Ciarlet

City University of Hong Kong

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

Abstract

In this Note, we present and analyze a new method for approximating linear elasticity problems in dimension two or three. This approach directly provides approximate strains, i.e., without simultaneously approximating the displacements, in finite element spaces where the Saint Venant compatibility conditions are exactly satisfied in a weak form. To cite this article: P.G. Ciarlet, P. Ciarlet, Jr., C. R. Acad. Sci. Paris, Ser. I 346 (2008).

Original language	English
Pages (from-to)	351-356
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	346
Issue number	5-6
DOIs	https://doi.org/10.1016/j.crma.2008.01.014
Publication status	Published - 1 Mar 2008

Access to Document

10.1016/j.crma.2008.01.014

Cite this

@article{c9ccbd5156bb4ee08ede5285f3d4f33e,

title = "A new approach for approximating linear elasticity problems",

abstract = "In this Note, we present and analyze a new method for approximating linear elasticity problems in dimension two or three. This approach directly provides approximate strains, i.e., without simultaneously approximating the displacements, in finite element spaces where the Saint Venant compatibility conditions are exactly satisfied in a weak form. To cite this article: P.G. Ciarlet, P. Ciarlet, Jr., C. R. Acad. Sci. Paris, Ser. I 346 (2008).",

author = "Ciarlet, \{Philippe G.\} and Patrick Ciarlet",

year = "2008",

month = mar,

day = "1",

doi = "10.1016/j.crma.2008.01.014",

language = "English",

volume = "346",

pages = "351--356",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

number = "5-6",

}

TY - JOUR

T1 - A new approach for approximating linear elasticity problems

AU - Ciarlet, Philippe G.

AU - Ciarlet, Patrick

PY - 2008/3/1

Y1 - 2008/3/1

N2 - In this Note, we present and analyze a new method for approximating linear elasticity problems in dimension two or three. This approach directly provides approximate strains, i.e., without simultaneously approximating the displacements, in finite element spaces where the Saint Venant compatibility conditions are exactly satisfied in a weak form. To cite this article: P.G. Ciarlet, P. Ciarlet, Jr., C. R. Acad. Sci. Paris, Ser. I 346 (2008).

AB - In this Note, we present and analyze a new method for approximating linear elasticity problems in dimension two or three. This approach directly provides approximate strains, i.e., without simultaneously approximating the displacements, in finite element spaces where the Saint Venant compatibility conditions are exactly satisfied in a weak form. To cite this article: P.G. Ciarlet, P. Ciarlet, Jr., C. R. Acad. Sci. Paris, Ser. I 346 (2008).

U2 - 10.1016/j.crma.2008.01.014

DO - 10.1016/j.crma.2008.01.014

M3 - Article

AN - SCOPUS:40049101874

SN - 1631-073X

VL - 346

SP - 351

EP - 356

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 5-6

ER -

A new approach for approximating linear elasticity problems

Abstract

Access to Document

Fingerprint

Cite this