MEMS - Uncertainty Quantification:
A. Alwan and N. R. Aluru,
``Analysis of the effect of spatial uncertainties on the dynamic
behavior of electrostatic microactuators'',
Communications in Computational Physics,
Vol. 20, No. 2, pp. 279-300, 2016.
[pdf file]
A. Alwan and N. R. Aluru,
``Data-driven stochastic models for spatial uncertainties in
micromechanical systems'',
Journal of Micromechanics and Microengineering,
Vol. 25, No. 11, Art. No. 115009, 2015.
[pdf file]
A. Alwan and N. R. Aluru,
``A nonstationary covariance function model for spatial
uncertainties in electrostatically actuated microsystems'',
International Journal for Uncertainty Quantification,
Vol. 5, No. 2, pp. 99-121, 2015.
[pdf file]
A. Alwan and N. R. Aluru,
``Improved statistical models for limited datasets in uncertainty
quantification using stochastic collocation'',
Journal of Computational Physics,
Vol. 255, pp. 521-539, 2013.
[pdf file]
P. Sumant, H. Wu, A. Cangellaris, and N. R. Aluru,
``Reduced-order models of finite element approximations of electromagnetic
devices exhibiting statistical variability'',
IEEE Transactions on Antennas and Propagation,
Vol. 60, No. 1, pp. 301-309, 2012.
[pdf file]
A. Alwan and N. R. Aluru,
``Uncertainty quantification of MEMS using a data-dependent adaptive stochastic collocation method'',
Computer Methods in Applied Mechanics and Engineering,
Vol. 200, No. 45-46, pp. 3169-3182, 2011.
[pdf file]
N. Agarwal and N. R. Aluru,
``Weighted Smolyak algorithm for solution of stochastic differential equations on
non-uniform probability measures'',
International Journal for Numerical Methods in Engineering,
Vol. 85, No. 11, pp. 1365-1389, 2011.
[pdf file]
N. Agarwal and N. R. Aluru,
``A data-driven stochastic collocation approach for uncertainty quantification in MEMS'',
International Journal for Numerical Methods in Engineering,
Vol. 83, No. 5, pp. 575-597, 2010.
[pdf file]
N. Agarwal and N. R. Aluru,
``Stochastic analysis of electrostatic MEMS subjected to parameter
variations'',
Journal of Microelectromechanical Systems,
Vol. 18, No. 6, pp. 1454-1468, 2009.
[pdf file]
N. Agarwal and N. R. Aluru,
``A domain adaptive stochastic collocation approach for analysis of MEMS
under uncertainties'',
Journal of Computational Physics,
Vol. 228, No. 20, pp. 7662-7688, 2009.
[pdf file]
N. Agarwal and N. R. Aluru,
``Stochastic modeling of coupled electromechanical interaction
for uncertainty quantification in electrostatically actuated MEMS'',
Computer Methods in Applied Mechanics and Engineering,
Vol. 197, No. 43-44, pp. 3456-3471, 2008.
[pdf file]
N. Agarwal and N. R. Aluru,
``A stochastic Lagrangian approach for geometrical uncertainties
in electrostatics'',
Journal of Computational Physics,
Vol. 226, No. 1, pp. 156-179, 2007.
[pdf file]