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Bayesian Inversion with Open-Source Codes for Various One-Dimensional Model Problems in Computational Mechanics
Authors
Fadi Aldakheel
Stijn François
+5 more
Amirreza Khodadadian
Nima Noii
Jacinto Ulloa
Thomas Wick
Peter Wriggers
Publication date
1 January 2022
Publisher
Dordrecht [u.a.] ; Berlin ; Heidelberg : Springer
Doi
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Abstract
The complexity of many problems in computational mechanics calls for reliable programming codes and accurate simulation systems. Typically, simulation responses strongly depend on material and model parameters, where one distinguishes between backward and forward models. Providing reliable information for the material/model parameters, enables us to calibrate the forward model (e.g., a system of PDEs). Markov chain Monte Carlo methods are efficient computational techniques to estimate the posterior density of the parameters. In the present study, we employ Bayesian inversion for several mechanical problems and study its applicability to enhance the model accuracy. Seven different boundary value problems in coupled multi-field (and multi-physics) systems are presented. To provide a comprehensive study, both rate-dependent and rate-independent equations are considered. Moreover, open source codes (https://doi.org/10.5281/zenodo.6451942) are provided, constituting a convenient platform for future developments for, e.g., multi-field coupled problems. The developed package is written in MATLAB and provides useful information about mechanical model problems and the backward Bayesian inversion setting. © 2022, The Author(s)
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NEUROSURGERY ENTHUSIASTIC WOMEN SOCIETY
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oai:zenodo.org:6451942
Last time updated on 03/12/2022
Institutionelles Repositorium der Leibniz Universität Hannover
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Last time updated on 01/11/2022