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]