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Integral equations for free-molecule ow in MEMS: recent advancements Cover

Integral equations for free-molecule ow in MEMS: recent advancements

Open Access
|Mar 2017

Abstract

We address a Boundary Integral Equation (BIE) approach for the analysis of gas dissipation in near-vacuum for Micro Electro Mechanical Systems (MEMS). Inspired by an analogy with the radiosity equation in computer graphics, we discuss an efficient way to compute the visible domain of integration. Moreover, we tackle the issue of near singular integrals by developing a set of analytical formulas for planar polyhedral domains. Finally a validation with experimental results taken from the literature is presented.

Language: English
Page range: 67 - 80
Submitted on: Dec 20, 2016
Accepted on: Mar 21, 2017
Published on: Mar 22, 2017
Published by: Italian Society for Applied and Industrial Mathemathics
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2017 Patrick Fedeli, Attilio Frangi, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.