A Lagrangian approach for quantum-mechanical electrostatic analysis of deformable silicon nanostructures

DOI10.1016/j.enganabound.2006.03.012zbMath1195.74241OpenAlexW1990818774MaRDI QIDQ1958243

N. R. Aluru, Gang Li

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2006.03.012

zbMATH Keywords

Lagrangian electrostaticsnanoelectromechanical systems (NEMS)quantum-mechanical electrostatic analysis

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Electromagnetic effects in solid mechanics (74F15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electro- and magnetostatics (78A30)

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Cites Work

• Positivity conditions in meshless collocation methods
• Design sensitivity analysis of structural systems
• Meshless methods: An overview and recent developments
• A boundary cloud method with a cloud-by-cloud polynomial basis.
• Boundary cloud method: a combined scattered point/boundary integral approach for boundary-only analysis
• An extended boundary node method for modeling normal derivative discontinuities in potential theory across edges and corners
• Numerical analysis of 3D electrostatics of deformable conductors using a Lagrangian approach
• Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation
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