Recent advances and emerging applications of the boundary element method

YJ Liu, S Mukherjee… - Applied …, 2011 - asmedigitalcollection.asme.org
Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

Air dam** in laterally oscillating microresonators: a numerical and experimental study

W Ye, X Wang, W Hemmert… - Journal of …, 2003 - ieeexplore.ieee.org
In this paper, we investigate computing air dam** in a comb-drive resonator by
numerically solving the three-dimensional (3-D) Stokes equation for the entire resonator …

Nonplanar oscillatory shear flow: From the continuum to the free-molecular regime

DR Emerson, XJ Gu, SK Stefanov, S Yuhong… - Physics of …, 2007 - pubs.aip.org
The case of oscillatory cylindrical Couette gas flow has been used to investigate the effects
of curvature and rarefaction on the dynamic velocity and shear stress profiles. In addition …

The drag on a microcantilever oscillating near a wall

RJ Clarke, SM Cox, PM Williams… - Journal of Fluid …, 2005 - cambridge.org
Motivated by devices such as the atomic force microscope, we compute the drag
experienced by a cylindrical body of circular or rectangular cross-section oscillating at small …

Precorrected-FFT accelerated singular boundary method for large-scale three-dimensional potential problems

W Li, W Chen, Z Fu - Communications in Computational Physics, 2017 - cambridge.org
This study makes the first attempt to accelerate the singular boundary method (SBM) by the
precorrected-FFT (PFFT) for large-scale three-dimensional potential problems. The SBM …

On the evaluation of dam** in MEMS in the slip–flow regime

A Frangi, G Spinola, B Vigna - International journal for …, 2006 - Wiley Online Library
The analysis of fluid dam** in micro‐electro‐mechanical systems (MEMS) is addressed. A
mixed fast multipole boundary element method based on both velocity and traction integral …

A dual BIE approach for large‐scale modelling of 3‐D electrostatic problems with the fast multipole boundary element method

YJ Liu, L Shen - International journal for numerical methods in …, 2007 - Wiley Online Library
A dual boundary integral equation (BIE) formulation is presented for the analysis of general
3‐D electrostatic problems, especially those involving thin structures. This dual BIE …

Fast BEM solution for coupled 3D electrostatic and linear elastic problems

N Masters, W Ye - Engineering Analysis with Boundary Elements, 2004 - Elsevier
This paper presents the development of a fast Boundary Element Method solver for 3D
linear elasticity utilizing the precorrected-FFT and parallel computing. The purpose of this …