File(s) under permanent embargo
Reason: This item is currently closed access.
Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
chapter
posted on 2015-09-15, 10:57 authored by Marco DiscacciatiMarco Discacciati, Alfio QuarteroniWe introduce a differential system based on the coupling of the (Navier) Stokes equations and the Darcy equation for the modelling of the interaction between surface and subsurface flows. We formulate the problem as an interface problem and analyze the associated Steklov-Poincaré operator. We then propose a way of solving the coupled problem iteratively, based on a suitable splitting of the interface conditions, allowing the solution of two subproblems at each step.
History
School
- Science
Department
- Mathematical Sciences