Title
Galerkin method for discs capacitors.
Abstract
The physics of nano and micro electro-mechanical systems would benefit from an accurate knowledge of electrostatics forces between electrodes. Quite complicated behaviors can arise and a precise computation of capacity matrices, from which forces can be derived, is required. We develop, for circular thick electrodes, a method based on the Galerkin approximation. Almost all the matrix elements needed are evaluated analytically and consequently high precision results can be obtained. In parallel we provide an implementation of the Boundary Elements Method (BEM) which gives a check of the computations and can be used independently.
Year
DOI
Venue
2019
10.1016/j.matcom.2019.06.009
Mathematics and Computers in Simulation
Keywords
Field
DocType
Galerkin method,Coefficients of capacitance,Boundary Elements Method
Electrostatics,Capacitor,Matrix (mathematics),Mathematical analysis,Galerkin method,Nano-,Mathematics,Computation
Journal
Volume
ISSN
Citations 
166
0378-4754
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Giampiero Paffuti100.34