Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations

M. Discacciati and A. Quarteroni
Additional contact information
M. Discacciati: École Polytechnique Fédérale de Lausanne, Institute of Mathematics
A. Quarteroni: École Polytechnique Fédérale de Lausanne, Institute of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 3-20 from Springer

Abstract: Summary We 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.

Keywords: Porous Medium; Interface Condition; Domain Decomposition; Stokes Problem; Couple Problem (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations: View citations in EconPapers (1)

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_1

Ordering information: This item can be ordered from
http://www.springer.com/9788847020894

DOI: 10.1007/978-88-470-2089-4_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().