Summary
Robin interface conditions in domain decomposition methods enable the use of non overlapping subdomains and a speed up in the convergence. Non conforming grids make the grid generation much easier and faster since it is then a parallel task. The goal of this paper is to propose and analyze a new discretization scheme which allows to combine the use of Robin interface conditions with non-matching grids. We consider both a symmetric definite positive operator and the convection-diffusion equation discretized by finite volume schemes. Numerical results are shown.
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Received December 22, 1999 / Revised version received December 21, 2000 / Published online December 18, 2001
Correspondence to: F. Nataf
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Achdou, Y., Japhet, C., Maday, Y. et al. A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. Numer. Math. 92, 593–620 (2002). https://doi.org/10.1007/s002110100336
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DOI: https://doi.org/10.1007/s002110100336