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

Volume 37 / 1996

Julian Ławrynowicz, Alain Mignot, Loucas Papaloucas, Claude Surry Banach Center Publications 37 (1996), 343-349 DOI: 10.4064/-37-1-343-349


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.


  • Julian Ławrynowicz
  • Alain Mignot
  • Loucas Papaloucas
  • Claude Surry

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