Fabio Nobile
École Polytechnique Fédérale de Lausanne
213 Papers
715 Citations
Fabio Nobile is an academic researcher from École Polytechnique Fédérale de Lausanne. The author has contributed to research in topics: Monte Carlo method & Random field. The author has an hindex of 44, co-authored 198 publications. Previous affiliations of Fabio Nobile include Polytechnic University of Milan & École Normale Supérieure.
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Papers
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Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification
TL;DR: The application to the approximation problem for uncertainty quantification of elliptic partial differential equations, with the diffusion coefficient given by a random field that is periodic in the stochastic variables, in the model proposed recently by Kaarnioja et al.
Electromechanical Coupling in Cardiac Dynamics: The Active Strain Approach
TL;DR: It is shown that the stretching of coordinates is insufficient to originate electromechanical feedback; nevertheless, it can increase the energy of a perturbation enough to produce a traveling pulse: an energy estimate and numerical evidence are reported.
Fluid-structure partitioned procedures based on Robin transmission conditions
TL;DR: New partitioned procedures for fluid-structure interaction problems, based on Robin-type transmission conditions, are designed, which exhibits enhanced convergence properties with respect to the existing partitioning procedures.
Multi-Index Stochastic Collocation for random PDEs
TL;DR: This work proposes an optimization procedure to select the most effective mixed differences to include in the MISC estimator, showing that in the optimal case the convergence rate of MISC is only dictated by the convergence of the deterministic solver applied to a one dimensional problem.
Perturbation analysis for the Darcy problem with log-normal permeability
Francesca Bonizzoni,Fabio Nobile +1 more
TL;DR: It is shown that, in general, the Taylor series is not globally convergent to the stochastic solution as the polynomial degree goes to infinity, but for small variability of the permeability field and low degree of the Taylor Polynomial, the perturbation approach is feasible and provides a good approximation.