On the application of 2D potential theory to electrostatic simulation

DOI10.1002/cnm.1640110808zbMath0839.65120OpenAlexW2135811135MaRDI QIDQ4850225

F. Shi, P. S. Ramesh, Subrata Mukherjee

Publication date: 9 October 1995

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1640110808

zbMATH Keywords

boundary element methodboundary integral equationLaplace equationexterior problemstwo-conductor systems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Electro- and magnetostatics (78A30)

Related Items (10)

DYNAMIC ANALYSIS OF MICRO-ELECTRO-MECHANICAL SYSTEMS ⋮ A boundary cloud method with a cloud-by-cloud polynomial basis. ⋮ Computation of 3D MEMS electrostatics using a nearly exact BEM solver ⋮ Modeling of the ground plane in electrostatic BEM analysis of MEMS and NEMS ⋮ Uncertainty quantification of MEMS using a data-dependent adaptive stochastic collocation method ⋮ A stochastic Lagrangian approach for geometrical uncertainties in electrostatics ⋮ Electrostatic BEM for MEMS with thin beams ⋮ Fast BEM solution for coupled 3D electrostatic and linear elastic problems ⋮ Numerical analysis of 3D electrostatics of deformable conductors using a Lagrangian approach ⋮ Optimal shape design of three-dimensional MEMS with applications to electrostatic comb drives

Cites Work

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• On the numerical solution of the biharmonic equation in the plane
• Laplace's equation and the Dirichlet-Neumann map in multiply connected domains
• An integral equation solution of the torsion problem

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