34 citations · 111 across the 13 of their papers we have counts for
14 papers
Running error bounds in finite element kernels
Michal Habera, Paul T. Kühner, Matteo Croci +1
Rounding errors in finite element computations can lead to a complete loss of accuracy, stalled convergence, and incorrect results. Moreover, the effects of rounding errors accumul…
A Copula-based variational autoencoder for uncertainty quantification in inverse problems: application to damage identification in an offshore wind turbine
Ana Fernandez-Navamuel, Martin Alberto Diaz Viera, Matteo Croci
Structural Health Monitoring of Floating Offshore Wind Turbines (FOWTs) is critical for ensuring operational safety and efficiency. However, identifying damage in components like m…
An Adaptive Sampling Algorithm for Level-set Approximation
Matteo Croci, Abdul-Lateef Haji-Ali, Ian C. J. Powell
We propose a new numerical scheme for approximating level-sets of Lipschitz multivariate functions which is robust to stochastic noise. The algorithm's main feature is an adaptive…
Mixed-precision finite element kernels and assembly: Rounding error analysis and hardware acceleration
M. Croci, G. N. Wells
In this paper we develop the first fine-grained rounding error analysis of finite element (FE) cell kernels and assembly. The theory includes mixed-precision implementations and ac…
Multi-output multilevel best linear unbiased estimators via semidefinite programming
M. Croci, K. E. Willcox, S. J. Wright
Multifidelity forward uncertainty quantification (UQ) problems often involve multiple quantities of interest and heterogeneous models (e.g., different grids, equations, dimensions,…
Exploiting Kronecker structure in exponential integrators: fast approximation of the action of -functions of matrices via quadrature
Matteo Croci, Judit Muñoz-Matute
In this article, we propose an algorithm for approximating the action of functions of matrices against vectors, which is a key operation in exponential time integrators. In par…
Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations
Matteo Croci, Giacomo Rosilho de Souza
Mixed-precision algorithms combine low- and high-precision computations in order to benefit from the performance gains of reduced-precision without sacrificing accuracy. In this wo…
Effects of round-to-nearest and stochastic rounding in the numerical solution of the heat equation in low precision
Matteo Croci, Michael B. Giles
Motivated by the advent of machine learning, the last few years have seen the return of hardware-supported low-precision computing. Computations with fewer digits are faster and mo…
Fast uncertainty quantification of tracer distribution in the brain interstitial fluid with multilevel and quasi Monte Carlo
Matteo Croci, Vegard Vinje, Marie E. Rognes
Efficient uncertainty quantification algorithms are key to understand the propagation of uncertainty -- from uncertain input parameters to uncertain output quantities -- in high re…
Complexity bounds on supermesh construction for quasi-uniform meshes
M. Croci, P. E. Farrell
Projecting fields between different meshes commonly arises in computational physics. This operation requires a supermesh construction and its computational cost is proportional to…
Multilevel quasi Monte Carlo methods for elliptic PDEs with random field coefficients via fast white noise sampling
M. Croci, M. B. Giles, P. E. Farrell
When solving partial differential equations with random fields as coefficients the efficient sampling of random field realisations can be challenging. In this paper we focus on the…
Deflation for semismooth equations
Patrick E. Farrell, Matteo Croci, Thomas M. Surowiec
Variational inequalities can in general support distinct solutions. In this paper we study an algorithm for computing distinct solutions of a variational inequality, without varyin…
Efficient white noise sampling and coupling for multilevel Monte Carlo with non-nested meshes
Matteo Croci, Michael B. Giles, Marie E. Rognes +1
When solving stochastic partial differential equations (SPDEs) driven by additive spatial white noise, the efficient sampling of white noise realizations can be challenging. Here,…
Distinct solutions of finite-dimensional complementarity problems
Matteo Croci, Patrick E. Farrell
Complementarity problems often permit distinct solutions, a fact of major significance in optimization, game theory and other fields. In this paper, we develop a numerical techniqu…