Mixed formulation for elastic problems - existence, approximation, and applications to Poisson structures

• Autorzy: Julian Ławrynowicz , Alain Lucien Mignot , Loucas C. Papaloucas , Claude Surry
• Języki publikacji: EN

Abstrakty

EN

A mixed formulation is given for elastic problems. Existence and uniqueness of the discretized problem are given for conformal continuous interpolations for the stress tensor components and for the components of the displacement vector. A counterpart of the problem is discussed in the case of an even-dimensional Euclidean space with an associated Hamiltonian vector field and the Poisson structure. For conformal interpolations of the same order the question remains open.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 37
• Numer: 1
• Strony: 343-349

Daty

wydano

1996

Twórcy

autor

Julian Ławrynowicz

• Institute of Mathematics, Polish Academy of Sciences, Narutowicza 56, PL-90-136 Łodź, Poland

autor

Alain Lucien Mignot

• Laboratoire d'Analyse Numérique, Université de Rennes, 1, Avenue du Général Leclerc, F-35000 Rennes, France

autor

Loucas C. Papaloucas

• Department of Mathematics, University of Athens, Panepistimiopolis, GR-15784 Athens, Greece

autor

Claude Surry

• École Nationale d'Ingénieurs, 58, Rue Jean Parrot, F-42023 Saint-Étienne, France

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