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We propose an efficient approach, namely the hybrid BIE/Poisson/Schrodinger approach, for electrostatic analysis of nanowires. In this approach, the interior and the exterior domain electrostatics are described by Poisson's equation (or Poisson's equation coupled with Schrodinger's equation when quantum-mechanical effects are dominant) and the boundary integral formulation of the potential equation, respectively. We employ a meshless finite cloud method and a boundary cloud method to solve the coupled equations self-consistently. The proposed approach significantly reduces the computational cost and provides a higher accuracy of the solution.