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A mixed DG method for folded Naghdi's shell in Cartesian coordinates

Abstract : In this Note, a mixed formulation is proposed to solve Naghdi's equations for a thin linearly elastic shell. The unknowns of the problem are the displacement of the points of the middle surface, the rotation field of the normal vector to the middle surface of the shell and a Lagrange multiplier that is introduced in order to enforce the tangency requirement on the rotation. We prove the well posedness of the continuous and the discrete problems.
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Serge Nicaise, Ismail Merabet. A mixed DG method for folded Naghdi's shell in Cartesian coordinates. Comptes rendus hebdomadaires des séances de l’Académie des sciences. Série A, Sciences mathématiques, Gauthier-Villars, 2015, 353 (7), pp.653-658. ⟨10.1016/j.crma.2015.04.016⟩. ⟨hal-03158912⟩



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