30 citations · 33 across the 10 of their papers we have counts for
6 papers · 1 filter
Preconditioning across parameter space for the parametric Helmholtz equation
Wouter Gerrit van Harten, Laura Scarabosio
In this work, we address the efficient computation of parameterized systems of linear equations, with possible nonlinear parameter dependence. When the matrix is highly sensitive t…
Exploiting locality in sparse polynomial approximation of parametric elliptic PDEs and application to parameterized domains
Wouter van Harten, Laura Scarabosio
This work studies how the choice of the representation for parametric, spatially distributed inputs to elliptic partial differential equations (PDEs) affects the efficiency of a po…
Deep neural network surrogates for non-smooth quantities of interest in shape uncertainty quantification
Laura Scarabosio
We consider the point evaluation of the solution to interface problems with geometric uncertainties, where the uncertainty in the obstacle is described by a high-dimensional parame…
Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields
Ustim Khristenko, Laura Scarabosio, Piotr Swierczynski +2
We consider the generation of samples of a mean-zero Gaussian random field with Matérn covariance function. Every sample requires the solution of a differential equation with Gauss…
Goal-Oriented Adaptive Modeling of Random Heterogeneous Media and Model-Based Multilevel Monte Carlo Methods
Laura Scarabosio, Barbara Wohlmuth, J. Tinsley Oden +1
Methods for generating sequences of surrogates approximating fine scale models of two-phase random heterogeneous media are presented that are designed to adaptively control the mod…
Multilevel Monte Carlo on a high-dimensional parameter space for transmission problems with geometric uncertainties
Laura Scarabosio
In the framework of uncertainty quantification, we consider a quantity of interest which depends non-smoothly on the high-dimensional parameter representing the uncertainty. We sho…