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We present a convergence theory for Optimized Schwarz Methods that rely on anon-local exchange operator and covers the case of coercive possiblynon-self-adjoint impedance operators. This analysis also naturally deals withthe presence of cross-points in subdomain partitions of arbitrary shape. In theparticular case of self-adjoint impedance, we recover the theory proposed in[Claeys & Parolin, 2021].

Non-self adjoint impedance in Generalized Optimized Schwarz Methods