The Optimized Schwarz method has been introduced and analyzed over the last decade, where the convergence speed of the Jacobi iteration is significantly enhanced by using general transmission conditions on the interfaces together with optimized parameters. In particular, Ventcell transmission conditions have been studied for the primal formulation with different numerical schemes showing that the convergence of the Optimized Schwarz algorithm with Ventcell conditions is improved over that with Robin conditions. Ventcell conditions are second order differential conditions, see.
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