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State Estimation with Model Reduction and Shape Variability. Application to biomedical problems
Felipe Galarce, Damiano Lombardi and Olga Mula SIAM Journal on Scientific Computing 44(3) B805 (2022) https://doi.org/10.1137/21M1430480
State estimation in nonlinear parametric time dependent systems using tensor train
Lombardi Damiano International Journal for Numerical Methods in Engineering 123(20) 4935 (2022) https://doi.org/10.1002/nme.7067
Fast reconstruction of 3D blood flows from Doppler ultrasound images and reduced models
Felipe Galarce, Jean-Frédéric Gerbeau, Damiano Lombardi and Olga Mula Computer Methods in Applied Mechanics and Engineering 375 113559 (2021) https://doi.org/10.1016/j.cma.2020.113559
Reconstructing haemodynamics quantities of interest from Doppler ultrasound imaging
Felipe Galarce, Damiano Lombardi and Olga Mula International Journal for Numerical Methods in Biomedical Engineering 37(2) (2021) https://doi.org/10.1002/cnm.3416
Optimal Reduced Model Algorithms for Data-Based State Estimation
Albert Cohen, Wolfgang Dahmen, Ronald DeVore, et al. SIAM Journal on Numerical Analysis 58(6) 3355 (2020) https://doi.org/10.1137/19M1255185
Adaptive PBDW Approach to State Estimation: Noisy Observations; User-Defined Update Spaces