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Quantifying uncertainty in thermophysical properties of walls by means of Bayesian inversion (2018)
Journal Article
De Simon, L., Iglesias, M., Jones, B., & Wood, C. (2018). Quantifying uncertainty in thermophysical properties of walls by means of Bayesian inversion. Energy and Buildings, 177, 220-245. https://doi.org/10.1016/j.enbuild.2018.06.045

We introduce a computational framework to statistically infer thermophysical properties of any given wall from in-situ measurements of air temperature and surface heat fluxes. The proposed framework uses these measurements, within a Bayesian calibrat... Read More about Quantifying uncertainty in thermophysical properties of walls by means of Bayesian inversion.

Bayesian inversion in resin transfer molding (2018)
Journal Article
Iglesias, M., Park, M., & Tretyakov, M. (2018). Bayesian inversion in resin transfer molding. Inverse Problems, 34(10), Article 105002. https://doi.org/10.1088/1361-6420/aad1cc

We study a Bayesian inverse problem arising in the context of Resin Transfer Molding (RTM), which is a process commonly used for the manufacturing of fiber- reinforced composite materials. The forward model is described by a moving boundary problem i... Read More about Bayesian inversion in resin transfer molding.

Ensemble-marginalized Kalman filter for linear time-dependent PDEs with noisy boundary conditions: application to heat transfer in building walls (2018)
Journal Article
Iglesias, M., Sawlan, Z., Scavino, M., Tempone, R., & Woodard, C. (2018). Ensemble-marginalized Kalman filter for linear time-dependent PDEs with noisy boundary conditions: application to heat transfer in building walls. Inverse Problems, 34(7), https://doi.org/10.1088/1361-6420/aac224

In this work, we present the ensemble-marginalized Kalman filter (EnMKF), a sequential algorithm analo- gous to our previously proposed approach [1, 2], for estimating the state and parameters of linear parabolic partial differential equations in ini... Read More about Ensemble-marginalized Kalman filter for linear time-dependent PDEs with noisy boundary conditions: application to heat transfer in building walls.

Parameterizations for ensemble Kalman inversion (2018)
Journal Article
Chada, N., Iglesias, M., Lassi, R., & Stuart, A. M. (2018). Parameterizations for ensemble Kalman inversion. Inverse Problems, 34(5), https://doi.org/10.1088/1361-6420/aab6d9

The use of ensemble methods to solve inverse problems is attractive because it is a derivative-free methodology which is also well-adapted to parallelization. In its basic iterative form the method produces an ensemble of solutions which lie in the l... Read More about Parameterizations for ensemble Kalman inversion.