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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2011

Extended Variational Formulation for Heterogeneous Partial Differential Equations

  • Pablo Blanco EMAIL logo , Paola Gervasio and Alfio Quarteroni


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.

Received: 2011-02-12
Revised: 2011-04-16
Accepted: 2011-05-21
Published Online: 2011
Published in Print: 2011

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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