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A Finite Volume Ventcell–Schwarz Algorithm for Advection-Diffusion Equations
[chapter]
2014
Lecture Notes in Computational Science and Engineering
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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
doi:10.1007/978-3-319-05789-7_91
fatcat:u7qk4sl3tvgcbmrjscp5qwlr6y