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Dipartimento di Matematica ''F. Casorati''

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Methods of fictitious domain for finite element methods, application to structural mechanics

Dr. Mathieu Fabre, IMATI-CNR, Pavia

sala conferenze IMATI-CNR - Martedì 13 Ottobre 2015 h.15:00


Abstract.  The fictitious domain methods initially designed for the fluid-structure
interaction, consist in immersing the real domain in a simply-shaped and a
geometrically bigger domain called the fictitious domain.

We apply these methods to a unilateral frictionless contact problem in
small deformation of two deformable elastics bodies separated by an
initial gap and satisfying boundary Dirichlet and Neumann conditions.

In this talk, I will present some theoretical results validated by
numerical experiments. Especially, I will give an optimal a priori error
estimate obtained using a stabilized fictitious domain method and a
residual-based a posteriori error estimator.

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