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We present a new variant of the geometry reconstruction approach for theformulation of atomistic/continuum coupling methods (a/c methods). Formulti-body nearest-neighbour interactions on the 2D triangular lattice, we showthat patch test consistent a/c methods can be constructed for arbitraryinterface geometries. Moreover, we prove that all methods within this class arefirst-order consistent at the atomistic/continuum interface and second-orderconsistent in the interior of the continuum region.

Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces: a 2D model problem