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

  • M. Discacciati
  • A. Quarteroni


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.


Porous Medium Interface Condition Domain Decomposition Stokes Problem Couple Problem 
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Copyright information

© Springer-Verlag Italia 2003

Authors and Affiliations

  • M. Discacciati
    • 1
  • A. Quarteroni
    • 1
    • 2
  1. 1.Institute of MathematicsÉcole Polytechnique Fédérale de LausanneLausanneSwitzerland
  2. 2.Dipartimento di Matematica Politecnico di MilanoMOXMilanoItaly

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