A PARALLEL ROBIN—ROBIN DOMAIN DECOMPOSITION METHOD FOR THE STOKES—DARCY SYSTEM

A PARALLEL ROBIN—ROBIN DOMAIN DECOMPOSITION METHOD FOR THE STOKES—DARCY SYSTEM

We propose a new parallel Robin—Robin domain decomposition method for the coupled Stokes—Darcy system with Beavers—Joseph—Saffman—Jones interface boundary condition. In particular, we prove that, with an appropriate choice of parameters, the scheme converges geometrically independent of the mesh siz...

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Veröffentlicht in:SIAM journal on numerical analysis 2011-01, Vol.49 (3/4), p.1064-1084
Hauptverfasser: CHEN, WENBIN, GUNZBURGER, MAX, HUA, FEI, WANG, XIAOMING
Format: Artikel
Sprache:eng
Schlagworte:
Airy equation
Algorithms
Approximation
Boundary conditions
Convergence
Decomposition methods
Domain decomposition methods
Error function
Error rates
Exact sciences and technology
Finite element method
Linear equations
Mathematical analysis
Mathematical models
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, boundary value problems
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Perceptron convergence procedure
Porous materials
Sciences and techniques of general use
Studies
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Zusammenfassung:We propose a new parallel Robin—Robin domain decomposition method for the coupled Stokes—Darcy system with Beavers—Joseph—Saffman—Jones interface boundary condition. In particular, we prove that, with an appropriate choice of parameters, the scheme converges geometrically independent of the mesh size.
ISSN:0036-1429
1095-7170
DOI:10.1137/080740556