Error estimates in periodic homogenization with a non-homogeneous Dirichlet condition.

Georges Griso (1)

1 LJLL - Laboratoire Jacques-Louis Lions

In this paper we investigate the homogenization problem with a non-homogeneous Dirichlet condition. Our aim is to give error estimates with boundary data in $H^{1/2}(\partial\Omega)$. The tools used are those of the unfolding method in periodic homogenization.

Mots clés: periodic unfolding method

Mots clés: periodic homogenization; error estimate; non-homogeneous Dirichlet con- dition; periodic unfolding method.

Domaines: Analyse numérique [math.NA]

Georges Griso. Error estimates in periodic homogenization with a non-homogeneous Dirichlet condition.. 2013. ⟨hal-00851967⟩