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We consider a scalar wave propagation in harmonic regime modelled byHelmholtz equation with heterogeneous coefficients. Using the Multi-TraceFormalism (MTF), we propose a new variant of the Optimized Schwarz Method (OSM)that can accomodate the presence of cross-points in the subdomain partition.This leads to the derivation of a strongly coercive formulation of ourHelmholtz problem posed on the union of all interfaces. The correspondingoperator takes the form "identity + contraction".

A new variant of the Optimised Schwarz Method for arbitrary non-overlapping subdomain partitions