Non-self adjoint impedance in Generalized Optimized Schwarz Methods

08/08/2021

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by   Xavier Claeys, et al.

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