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 |
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| container_issue | 3/4 |
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| container_title | SIAM journal on numerical analysis |
| container_volume | 49 |
| creator | CHEN, WENBIN GUNZBURGER, MAX HUA, FEI WANG, XIAOMING |
| description | 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. |
| doi_str_mv | 10.1137/080740556 |
| format | Article |
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| ispartof | SIAM journal on numerical analysis, 2011-01, Vol.49 (3/4), p.1064-1084 |
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| source | SIAM Journals Online; Jstor Complete Legacy; JSTOR Mathematics & Statistics |
| subjects | 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 |
| title | A PARALLEL ROBIN—ROBIN DOMAIN DECOMPOSITION METHOD FOR THE STOKES—DARCY SYSTEM |
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