Hybrid techniques for electrostatic analysis of nanowires

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.