DISCACCIATI, 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.
Lecture Notes in Computational Science and Engineering;91
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.
The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-642-35275-1_48