Review of multi-fidelity models

MG Fernández-Godino - arxiv preprint arxiv:1609.07196, 2016 - arxiv.org
This article provides an overview of multi-fidelity modeling trends. Fidelity in modeling refers
to the level of detail and accuracy provided by a predictive model or simulation. Generally …

Issues in deciding whether to use multifidelity surrogates

M Giselle Fernández-Godino, C Park, NH Kim… - Aiaa Journal, 2019 - arc.aiaa.org
Multifidelity surrogates are essential in cases where it is not affordable to have more than a
few high-fidelity samples, but it is affordable to have as many low-fidelity samples as …

A stochastic collocation algorithm with multifidelity models

A Narayan, C Gittelson, D **u - SIAM Journal on Scientific Computing, 2014 - SIAM
We present a numerical method for utilizing stochastic models with differing fidelities to
approximate parameterized functions. A representative case is where a high-fidelity and a …

Stochastic collocation applications in computational electromagnetics

D Poljak, S Šesnić, M Cvetković… - Mathematical …, 2018 - Wiley Online Library
The paper reviews the application of deterministic‐stochastic models in some areas of
computational electromagnetics. Namely, in certain problems there is an uncertainty in the …

Adjoint sensitivity analysis for uncertain material parameters in frequency-domain 3-D FEM

JJ Harmon, C Key, D Estep, T Butler… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
We present an application of adjoint analysis for efficient sensitivity analysis and estimation
of quantities of interest in the presence of uncertain model parameters in 3-D finite element …

Uncertainty quantification in computational electromagnetics: The stochastic approach

S Clenet - International Compumag Society Newsletters, 2013 - hal.science
Models in electromagnetism are more and more accurate. In some applications, the gap
between the experience and the model comes from the deviation on input data of the model …

Fast MOR-based approach to uncertainty quantification in transcranial magnetic stimulation

L Codecasa, L Di Rienzo, K Weise… - IEEE Transactions …, 2015 - ieeexplore.ieee.org
We propose a new technique based on parametric model order reduction to efficiently
calculate the polynomial chaos expansion of the induced electric field in the human brain in …

Kriging Methodology for Uncertainty Quantification in Computational Electromagnetics

S Kasdorf, JJ Harmon… - IEEE Open Journal of …, 2024 - ieeexplore.ieee.org
We present the implementation and use of the Kriging methodology, ie, surrogate models
based on Kriging interpolation, in uncertainty quantification (UQ) in computational …

Reduction of a finite-element parametric model using adaptive POD methods—Application to uncertainty quantification

S Clenet, T Henneron, N Ida - IEEE Transactions on Magnetics, 2015 - ieeexplore.ieee.org
Model order reduction methods enable reduction of the computation time when dealing with
parametrized numerical models. Among these methods, the proper orthogonal …

Reducing the computational expense of uncertainty quantification in computational electromagnetics: A goal-oriented perspective

JJ Harmon, BM Notaroš - … -URSI Radio Science Meeting (AP-S …, 2022 - ieeexplore.ieee.org
We summarize several challenges in uncertainty quantification involving simulations of
electromagnetic scattering. While the finite element method (FEM) provides an excellent …