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We present a new method for solving the three-dimensional gravitationalpotential of a density field on the Yin-Yang grid. Our algorithm is based on amultipole decomposition and completely symmetric with respect to the twoYin-Yang grid patches. It is particularly efficient on distributed-memorymachines with a large number of compute tasks, because the amount of data beingexplicitly communicated is minimized. All operations are performed on theoriginal grid without the need for interpolating data onto an auxiliaryspherical mesh.

Parallelized Solution Method of the Three-dimensional Gravitational Potential on the Yin-Yang Grid