In this paper we study interface equations associated to the Darcy-Stokes problem
using the classical Steklov-Poincaré approach and a new one called augmented. We compare
these two families of methods and characterize at the discrete level suitable preconditioners
with additive and multiplicative structures. Finally, we present some numerical results to assess
their behavior in presence of small physical parameters.
Published inDomain Decomposition Methods in Science and Engineering XX
Lecture Notes in Computational Science and Engineering
Pages411 - 418
CitationDISCACCIATI, M., 2013. Augmented interface systems for the Darcy-Stokes problem. IN: Bank, R. ... et al (eds). Domain Decomposition Methods in Science and Engineering XX, Part II, pp.411-418.
Publisher© Springer-Verlag Berlin Heidelberg
VersionAM (Accepted Manuscript)
Publisher statementThis work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
NotesThe final publication is available at Springer via http://dx.doi.org/10.1007/978-3-642-35275-1_48
Book seriesLecture Notes in Computational Science and Engineering;91