62 citations · 67 across the 4 of their papers we have counts for
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Comparison of random field discretizations for high-resolution Bayesian parameter identification in finite element elasticity
Pieter Vanmechelen, Geert Lombaert, Giovanni Samaey
We compare three random field discretization strategies for probabilistic identification of spatially varying material parameters in high-resolution finite element models. These st…
Multilevel Markov Chain Monte Carlo with likelihood scaling for Bayesian inversion with high-resolution observations
Pieter Vanmechelen, Geert Lombaert, Giovanni Samaey
We propose a multilevel Markov chain Monte Carlo (MCMC) method for the Bayesian inference of random field parameters in PDEs using high-resolution data. Compared to existing multil…
Interior-point methods for the phase-field approach to brittle and ductile fracture
Jef Wambacq, Jacinto Ulloa, Geert Lombaert +1
The governing equations of the variational approach to brittle and ductile fracture emerge from the minimization of a non-convex energy functional subject to irreversibility constr…
On the Selection of Random Field Evaluation Points in the p-MLQMC Method
Philippe Blondeel, Pieterjan Robbe, Stijn François +2
Engineering problems are often characterized by significant uncertainty in their material parameters. A typical example coming from geotechnical engineering is the slope stability…
h- and p-refined Multilevel Monte Carlo Methods for Uncertainty Quantification in Structural Engineering
Philippe Blondeel, Pieterjan Robbe, Cédric van hoorickx +2
Practical structural engineering problems are often characterized by significant uncertainties. Historically, one of the prevalent methods to account for this uncertainty has been…