A new approach for approximating linear elasticity problems

Philippe G. Ciarlet (1) , Patrick Ciarlet (2)

1 HKU - Department of Mathematics
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

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.

Domaines: Analyse numérique [math.NA]

Philippe G. Ciarlet, Patrick Ciarlet. A new approach for approximating linear elasticity problems. Comptes Rendus. Mathématique, 2008, 346 (5-6), pp.351-356. ⟨10.1016/j.crma.2008.01.014⟩. ⟨hal-00876220⟩