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

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/68145535:_____/18:00495898 RIV/61989100:27740/18:10239974

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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

Počet stran výsledku

14

Strana od-do

203-216

Název nakladatele

Springer

Místo vydání

Cham

Místo konání akce

Karolinka

Datum konání akce

22. 5. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—