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Hybrid techniques for electrostatic analysis of nanoelectromechanical systems

机译:纳米机电系统静电分析的混合技术

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摘要

In this paper, we propose an efficient approach, namely the hybrid BIE/Poisson/Schrodinger approach, for electrostatic analysis of nanoelectromechanical systems. 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 (BIE) of the potential equation, respectively. We employ a meshless finite cloud method and a boundary cloud method to solve the coupled BIE/Poisson/Schrodinger's equations self-consistently. The proposed approach significantly reduces the computational cost and provides a higher accuracy of the solution. (C) 2004 American Institute of Physics.
机译:在本文中,我们提出了一种有效的方法,即BIE / Poisson / Schrodinger混合方法,用于对纳米机电系统进行静电分析。在这种方法中,内部和外部区域静电分别由泊松方程(或在量子力学效应占主导的泊松方程与薛定inger方程耦合时)和势方程的边界积分公式(BIE)来描述。我们采用无网格有限云方法和边界云方法来自洽地求解耦合的BIE / Poisson / Schrodinger方程。所提出的方法大大降低了计算成本,并提供了更高的精度。 (C)2004美国物理研究所。

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