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A hybrid approach for solving Laplace equation in 3-D domains is presented.It bases on a local method for the Dirichlet-Neumann(DtN)mapping of a Laplace equation by combining a deterministic boundary integral equation and the probabilistic Feynman–Kac formula for solutions of elliptic partial differential equations.This hybridization produces a parallel algorithm where bulk of the computation has no data communication between processors.Numerical results show the robustness and parallel performance of the proposed method.