A Bayesian approach to the identification problem with given material interfaces in the darcy flow

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F18%3A10239974" target="_blank" >RIV/61989100:27240/18:10239974 - isvavai.cz</a>
Alternative codes found
RIV/68145535:_____/18:00495898 RIV/61989100:27740/18:10239974
Result on the web
<a href="https://doi.org/10.1007/978-3-319-97136-0_15" target="_blank" >https://doi.org/10.1007/978-3-319-97136-0_15</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-97136-0_15" target="_blank" >10.1007/978-3-319-97136-0_15</a>

Result language
angličtina
Original language name
A Bayesian approach to the identification problem with given material interfaces in the darcy flow
Original language description
The contribution focuses on the estimation of material parameters on subdomains with given material interfaces in the Darcy flow problem. For the estimation, we use the Bayesian approach, which incorporates the natural uncertainty of measurements. The main interest of this contribution is to describe the posterior distribution of material parameters using samples generated by the Metropolis-Hastings method. This method requires a large number of direct problem solutions, which is time-consuming. We propose a combination of the standard direct solutions with sampling from the stochastic Galerkin method (SGM) solution. The SGM solves the Darcy flow problem with random parameters as additional problem dimensions. This leads to the solution in the form of a function of both random variables and space variables, which is computationally expensive to obtain, but the samples are very cheap. The resulting sampling procedure is applied to a model groundwater flow inverse problem as an alternative to the existing deterministic approach. (C) Springer International Publishing AG, part of Springer Nature 2018.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Volume 11087
ISBN
978-3-319-97135-3
ISSN
0302-9743
e-ISSN
1611-3349
Number of pages
14
Pages from-to
203-216
Publisher name
Springer
Place of publication
Cham
Event location
Karolinka
Event date
May 22, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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