6 citations · 15 across the 16 of their papers we have counts for
18 papers
Materials Behavior as Mechanism Ensembles: A Probabilistic Framework for Emergent Behaviors
Brad L. Boyce, Mitchell A. Wood, Krishna Garikipati +16
Materials behavior is often treated as a deterministic mapping from structure to properties, yet many important phenomena emerge from the conditional activation of multiple mechani…
Fast multitask Gaussian processes, with application to surrogate modeling of the quark-gluon plasma
Aleksei G. Sorokin, Pieterjan Robbe, Yen-Chun Liu +2
Gaussian processes (GPs) are broadly used for the surrogate modeling of computer experiments with reliable uncertainty quantification. Our motivating application comes from the stu…
Towards Spatio-Temporal Extrapolation of Phase-Field Simulations with Convolution-Only Neural Networks
Christophe Bonneville, Nathan Bieberdorf, Pieterjan Robbe +4
Phase-field simulations of liquid metal dealloying (LMD) can capture complex microstructural evolutions but can be prohibitively expensive for large domains and long time horizons.…
Fast Bayesian Multilevel Quasi-Monte Carlo
Aleksei G. Sorokin, Pieterjan Robbe, Gianluca Geraci +2
Existing multilevel quasi-Monte Carlo (MLQMC) methods often rely on multiple independent randomizations of a low-discrepancy (LD) sequence to estimate statistical errors on each le…
Extrapolating Phase-Field Simulations in Space and Time with Purely Convolutional Architectures
Christophe Bonneville, Nathan Bieberdorf, Pieterjan Robbe +4
Phase-field models of liquid metal dealloying (LMD) can resolve rich microstructural dynamics but become intractable for large domains or long time horizons. We present a condition…
A Comparison of Surrogate Constitutive Models for Viscoplastic Creep Simulation of HT-9 Steel
Pieterjan Robbe, Andre Ruybalid, Arun Hegde +4
Mechanistic microstructure-informed constitutive models for the mechanical response of polycrystals are a cornerstone of computational materials science. However, as these models b…
Multi-fidelity uncertainty quantification for homogenization problems in structure-property relationships from crystal plasticity finite elements
Anh Tran, Pieterjan Robbe, Theron Rodgers +1
Crystal plasticity finite element method (CPFEM) has been an integrated computational materials engineering (ICME) workhorse to study materials behaviors and structure-property rel…
Bayesian calibration with summary statistics for the prediction of xenon diffusion in UO2 nuclear fuel
Pieterjan Robbe, David Andersson, Luc Bonnet +5
The evolution and release of fission gas impacts the performance of UO2 nuclear fuel. We have created a Bayesian framework to calibrate a novel model for fission gas transport that…
Global Sensitivity Analysis of a coupled multiphysics model to predict surface evolution in fusion plasma-surface interactions
Pieterjan Robbe, Sophie Blondel, Tiernan Casey +4
We construct a global sensitivity analysis framework for a coupled multiphysics model used to predict the changes in material properties and surface morphology of helium plasma-fac…
Multi-fidelity microstructure-induced uncertainty quantification by advanced Monte Carlo methods
Anh Tran, Pieterjan Robbe, Hojun Lim
Quantifying uncertainty associated with the microstructure variation of a material can be a computationally daunting task, especially when dealing with advanced constitutive models…
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…
Multilevel Asymptotic-Preserving Monte Carlo for Particle Simulations
Bert Mortier, Pieterjan Robbe, Martine Baelmans +1
We develop a novel multilevel asymptotic-preserving Monte Carlo method, called Multilevel Kinetic-Diffusion Monte Carlo (ML-KDMC), for simulating the kinetic Boltzmann transport eq…
Enhanced Multi-Index Monte Carlo by means of Multiple Semi-Coarsened Multigrid for Anisotropic Diffusion Problems
Pieterjan Robbe, Dirk Nuyens, Stefan Vandewalle
In many models used in engineering and science, material properties are uncertain or spatially varying. For example, in geophysics, and porous media flow in particular, the uncerta…
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…
Multilevel Monte Carlo for uncertainty quantification in structural engineering
Philippe Blondeel, Pieterjan Robbe, Cédric van hoorickx +2
Practical structural engineering problems often exhibit a significant degree of uncertainty in the material properties being used, the dimensions of the modeled structures, etc. In…
Recycling Samples in the Multigrid Multilevel (Quasi-)Monte Carlo Method
Pieterjan Robbe, Dirk Nuyens, Stefan Vandewalle
The Multilevel Monte Carlo method is an efficient variance reduction technique. It uses a sequence of coarse approximations to reduce the computational cost in uncertainty quantifi…
A Dimension-Adaptive Multi-Index Monte Carlo Method Applied to a Model of a Heat Exchanger
Pieterjan Robbe, Dirk Nuyens, Stefan Vandewalle
We present an adaptive version of the Multi-Index Monte Carlo method, introduced by Haji-Ali, Nobile and Tempone (2016), for simulating PDEs with coefficients that are random field…
A Multi-Index Quasi-Monte Carlo Algorithm for Lognormal Diffusion Problems
Pieterjan Robbe, Dirk Nuyens, Stefan Vandewalle
We present a Multi-Index Quasi-Monte Carlo method for the solution of elliptic partial differential equations with random coefficients. By combining the multi-index sampling idea w…