Mortar spectral element discretization of Darcy's equations in nonhomogeneous medium

Mouna Daadaa (1)

1 LJLL - Laboratoire Jacques-Louis Lions

We consider Darcy's equations with piecewise continuous coeffcients in a bounded two-dimensional domain. We propose a spectral element discretization of this problem wich relies on the mortar domain decomposition technique. We prove optimal error estimates. We also performe numerical analysis of the discrete problem and present numerical experiments. They turn out to be in good coherency with the theoretical results.

Mots clés: Mortar spectral elements; Discontinuous coeffcients; Darcy's equations.; Darcy's equations

Domaines: Analyse numérique [cs.NA]

Mouna Daadaa. Mortar spectral element discretization of Darcy's equations in nonhomogeneous medium. 2010. ⟨hal-00517369⟩