Codice 18/2011 Titolo Extended variational formulation for heterogeneous partial differential equations Data 2011-04-21 Autore/i Blanco, P.; Gervasio, P.; Quarteroni, A. Link Download full text Abstract We address the coupling of an advection equation with a diffusion-advection equation, for solutions featuring boundary layers. We consider non-overlapping domain decompositions and we face up the heterogeneous problem using an extended variational formulation. We will prove the equivalence between the latter formulation and a treatment based on a singular perturbation theory. An exhaustive comparison in terms of solution and computational efficiency between these formulations is carried out.