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State of the art

VVUQ concepts

https://www.researchgate.net/publication/343511775_Unified_Framework_and_Survey_for_Model_Verification_Validation_and_Uncertainty_Quantification

https://www.aoe.vt.edu/content/dam/aoe_vt_edu/people/faculty/cjroy/Publications-Articles/VVUQ-CMAME.Final-Accepted-FIGURES.pdf

https://link.springer.com/article/10.1007/s11831-020-09473-7

https://ir.vanderbilt.edu/handle/1803/17891

https://cstools.asme.org/csconnect/FileUpload.cfm?View=yes&ID=73615

Notation and uncertainty intervals are taken from https://asmedigitalcollection.asme.org/verification/article/7/3/031005/1146443/Confidence-Intervals-for-Richardson-Extrapolation 1

The Relative Discretization Error (RDE) is taken from 2

https://eikosim.com/en/technical-articles/vvuq-references-aerospace-solid-mechanics/

https://asmedigitalcollection.asme.org/VVS/proceedings/VVUQ2024/87769/V001T05A002/1201226

VVUQ software and platforms

https://github.com/snl-dakota/dakota

https://easyvvuq.readthedocs.io/en/dev/

https://www.seavea-project.org/seaveatk/

https://services.excellerat.eu/

https://uranie.cea.fr/

https://persalys.fr/define_modele.php

Relative Area Metric

https://asmedigitalcollection.asme.org/VVS/proceedings/VVUQ2022/85765/V001T05A001/1143094

https://asmedigitalcollection.asme.org/VVS/proceedings/VVUQ2022/85765/V001T05A001/1143094

https://www.mdpi.com/2227-7390/11/11/2511

https://asmedigitalcollection.asme.org/verification/article-abstract/7/4/041005/1154440/On-the-Failure-of-the-Area-Metric-for-Validation?redirectedFrom=PDF

https://ontonixqcm.blog/2021/10/30/on-stochastic-model-validation/

Bayesian approach

https://asmedigitalcollection.asme.org/VVS/proceedings/VVUQ2023/86748/V001T08A002/1164354

https://www.sciencedirect.com/science/article/abs/pii/S0029549319302092

Misc for the culture

https://asmedigitalcollection.asme.org/VVS/proceedings/VVUQ2023/86748/V001T04A001/1164351

https://asmedigitalcollection.asme.org/VVS/proceedings/VVUQ2022/85765/V001T08A001/1143090

https://asmedigitalcollection.asme.org/VVS/proceedings/VVUQ2024/87769/V001T01A001/1201232

Applications to composite damage

https://www.sciencedirect.com/science/article/pii/S0266353824000320?dgcid=raven_sd_recommender_email

https://www.sciencedirect.com/science/article/pii/S1359836824007212

Application to Lattice structures

https://link.springer.com/article/10.1007/s00366-024-02091-y


  1. Petr Krysl. Confidence intervals for richardson extrapolation in solid mechanics. J. Verif. Valid. Uncert., 7(3):031005, 2022. doi:https://doi.org/10.1115/1.4055728

  2. Christopher J. Roy. Review of code and solution verification procedures for computational simulation. Journal of Computational Physics, 205(1):131–156, 2005. URL: https://www.sciencedirect.com/science/article/pii/S0021999104004619, doi:https://doi.org/10.1016/j.jcp.2004.10.036