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

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • M. Discacciati

    (École Polytechnique Fédérale de Lausanne, Institute of Mathematics)

  • A. Quarteroni

    (École Polytechnique Fédérale de Lausanne, Institute of Mathematics
    MOX, Dipartimento di Matematica Politecnico di Milano)

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.

Suggested Citation

  • M. Discacciati & A. Quarteroni, 2003. "Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 3-20, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_1
    DOI: 10.1007/978-88-470-2089-4_1
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