A new approach for approximating linear elasticity problems

Philippe G. Ciarlet; Patrick Ciarlet Jr.

doi:10.1016/j.crma.2008.01.014

A new approach for approximating linear elasticity problems

Philippe G. Ciarlet
, Patrick Ciarlet Jr.

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

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). © 2008 Académie des sciences.

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

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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). {\textcopyright} 2008 Acad{\'e}mie des sciences.",

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T1 - A new approach for approximating linear elasticity problems

AU - Ciarlet, Philippe G.

AU - Ciarlet Jr., Patrick

PY - 2008/3

Y1 - 2008/3

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). © 2008 Académie des sciences.

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). © 2008 Académie des sciences.

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-40049101874&origin=recordpage

U2 - 10.1016/j.crma.2008.01.014

DO - 10.1016/j.crma.2008.01.014

M3 - RGC 21 - Publication in refereed journal

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

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