[mems-modsim] Math and MEMS

[Evgenii Rudnyi]

>  I a prospective graduate student in Applied Mathematics.  I heard
> about MEMS a few months ago and I find the subject fascinating.  I know
> that Finite Element/ Boundary Element Methods are used in MEMS
> research.  However, I'm curious to find out what a mathematicians role
> in researching MEMS would be?  After all, there lots of packages out
> there that solve FEM/BEM problems very easily.
>
>  What type of problems would a mathematician be solving that
> engineers/physicists couldn't solve themselves?

Well, there are many challenges as real engineering problems are always 
much more complicated that what can be solved even with modern 
computers.

We have tried to describe one of the challenges at

J. Lienemann, E. B. Rudnyi and J. G. Korvink.
MST MEMS model order reduction: Requirements and Benchmarks.
Linear Algebra and its Applications, 2005.
Corrected proof is available on-line at
http://dx.doi.org/10.1016/j.laa.2005.04.002

(if you do not have access to ScienceDirect, please contact me directly 
for a reprint)

Best wishes,

Evgenii Rudnyi
-- 
http://Evgenii.Rudnyi.Ru/
http://www.imtek.uni-freiburg.de/simulation/mor4ansys/

Half-day course before EuroSimE, Grand Hotel di Como, Sunday April 
23rd, 2006. Automatic Compact Modelling for MEMS: Applications,  
Methods and Tools.
http://www.eurosime.org/course.htm#c4