A Finite Volume Ventcell–Schwarz Algorithm for Advection-Diffusion Equations [chapter]

Laurence Halpern, Florence Hubert
2014 Lecture Notes in Computational Science and Engineering  
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
more » ... ed. Numerical illustrations of the efficiency of the discrete Ventcell-Schwarz algorithm are given.
doi:10.1007/978-3-319-05789-7_91 fatcat:u7qk4sl3tvgcbmrjscp5qwlr6y