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Solution of Inverse Problems using Bayesian Approach with Application to Estimation of Material Parameters in Darcy Flow
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SYSNO ASEP 0482833 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Solution of Inverse Problems using Bayesian Approach with Application to Estimation of Material Parameters in Darcy Flow Tvůrce(i) Domesová, Simona (UGN-S) ORCID, SAI, RID
Beres, Michal (UGN-S)Celkový počet autorů 2 Zdroj.dok. Advances in Electrical and Electronic Engineering - ISSN 1336-1376
Roč. 15, č. 2 (2017), s. 258-266Poč.str. 9 s. Forma vydání Online - E Jazyk dok. eng - angličtina Země vyd. SK - Slovensko Klíč. slova Bayesian statistics ; Cross-Entropy method ; Darcy flow ; Gaussian random field ; inverse problem Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics CEP LQ1602 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy Institucionální podpora UGN-S - RVO:68145535 UT WOS 000409044400017 EID SCOPUS 85025665571 DOI 10.15598/aeee.v15i2.2236 Anotace Standard numerical methods for solving inverse problems in partial differential equations do not reflect a possible inaccuracy in observed data. However, in real engineering applications we cannot avoid uncertainties caused by measurement errors. In the Bayesian approach every unknown or inaccurate value is treated as a random variable. This paper presents an application of the Bayesian inverse approach to the reconstruction of a porosity field as a parameter of the Darcy flow problem. However, this framework can be applied to a wide range of problems that involve some amount of uncertainty. Here the material field is modeled as a Gaussian random field, which is expressed as a function of several random variables. The information about these random variables is given by the resulting posterior distribution, which is then studied using the Cross-Entropy method and samples are generated using the Metropolis-Hastings algorithm. Pracoviště Ústav geoniky Kontakt Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Rok sběru 2018 Elektronická adresa http://advances.utc.sk/index.php/AEEE/article/view/2236
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