Application of a model order reduction method based on the Krylov subspace to finite element transient analysis imposing several kinds of boundary condition

2010 ◽  
Vol 10 ◽  
pp. 012118
Author(s):  
N M Amin ◽  
M Asai ◽  
Y Sonoda
Keyword(s):  
Boundary Condition ◽  
Finite Element ◽  
Model Order Reduction ◽  
Transient Analysis ◽  
Krylov Subspace ◽  
Reduction Method ◽  
Order Reduction ◽  
Model Order ◽  
Order Reduction Method

scholarly journals A New MEMS Stochastic Model Order Reduction Method: Research and Application

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Bian Xiangjuan ◽  
Youping Gong ◽  
Chen Guojin ◽  
Lv Yunpeng
Keyword(s):  
Finite Element ◽  
Stochastic Model ◽  
Model Order Reduction ◽  
Large Scale ◽  
Reduction Method ◽  
Order Reduction ◽  
Fast Time ◽  
Random Input ◽  
Model Order ◽  
Order Reduction Method

Modeling and simulation of MEMS devices is a very complex tasks which involve the electrical, mechanical, fluidic, and thermal domains, and there are still some uncertainties that need to be accounted for during the robust design of MEMS actuators caused by uncertain material and/or geometric parameters. According to these problems, we put forward stochastic model order reduction method under random input conditions to facilitate fast time and frequency domain analyses; the method makes use of polynomial chaos expansions in terms of the random input variables for the matrices of a finite element model of the system and then uses its transformation matrix to reduce the model; the method is independent of the MOR algorithm, so it is seamlessly compatible with MOR method used in popular finite element solvers. The simulation results verify the method is effective in large scale MEMS design process.

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