scholarly journals Model order reduction of nonlinear parabolic PDE systems with moving boundaries using sparse proper orthogonal decomposition: Application to hydraulic fracturing

2018 ◽  
Vol 112 ◽  
pp. 92-100 ◽  
Author(s):  
Harwinder Singh Sidhu ◽  
Abhinav Narasingam ◽  
Prashanth Siddhamshetty ◽  
Joseph Sang-Il Kwon
Keyword(s):  
Model Order Reduction ◽  
Order Reduction ◽  
Orthogonal Decomposition ◽  
Moving Boundaries ◽  
Model Order ◽  
Nonlinear Parabolic ◽  
Parabolic Pde ◽  
Pde Systems ◽  
Nonlinear Parabolic Pde ◽  
Proper Orthogonal

Recent Advances in Computational Methods for Microsystems

2013 ◽  
Vol 745 ◽  
pp. 13-25 ◽  
Author(s):  
Alberto Corigliano ◽  
Martino Dossi ◽  
Stefano Mariani
Keyword(s):  
Model Order Reduction ◽  
Computing Time ◽  
Order Reduction ◽  
Orthogonal Decomposition ◽  
Coupled Problems ◽  
Strong Reduction ◽  
Model Order ◽  
Solution Strategies ◽  
Reduction Methods ◽  
Proper Orthogonal

An algorithm, which combines the use of Domain Decomposition and Model Order Reduction methods based on Proper Orthogonal Decomposition, is proposed. The algorithm allows for the efficient handling of electro-mechanical coupled problems in MEMS, with a strong reduction of computing time with respect to standard monolithic or staggered solution strategies. Examples of coupled electro-mechanical problems, concerning a vibrating beam subject to variable electrostatic forces, are presented and discussed.

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