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A Finite Volume Ventcell-Schwarz Algorithm for Advection-Diffusion Equations

Abstract : This paper provides a new fully discrete domain decomposition algorithm for the advection diffusion reaction equation. It relies on the optimized Ventcell--Schwarz algorithm with a finite volume discretization of the subdomain problems. The scheme includes a wide range of advection fluxes with a special treatment on the boundary. A complete analysis of the scheme is presented, and the convergence of the algorithm to a discrete approximation of the equation using a modified convective flux is proved. Numerical illustrations of the efficiency of the discrete Ventcell--Schwarz algorithm are given.
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https://hal.archives-ouvertes.fr/hal-01271249
Contributor : Florence Hubert <>
Submitted on : Monday, February 8, 2016 - 8:57:50 PM
Last modification on : Tuesday, May 5, 2020 - 1:03:21 PM

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Laurence Halpern, Florence Hubert. A Finite Volume Ventcell-Schwarz Algorithm for Advection-Diffusion Equations . SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2014, 52 (3), pp.1269-1291. ⟨10.1137/130919799⟩. ⟨hal-01271249⟩

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