Solution of Inverse Problems using Bayesian Approach with Application to Estimation of Material Parameters in Darcy Flow

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F17%3A00482833" target="_blank" >RIV/68145535:_____/17:00482833 - isvavai.cz</a>

Alternative codes found

RIV/61989100:27240/17:10237745 RIV/61989100:27740/17:10237745

Result on the web

<a href="http://advances.utc.sk/index.php/AEEE/article/view/2236" target="_blank" >http://advances.utc.sk/index.php/AEEE/article/view/2236</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.15598/aeee.v15i2.2236" target="_blank" >10.15598/aeee.v15i2.2236</a>

Result language

angličtina

Original language name

Solution of Inverse Problems using Bayesian Approach with Application to Estimation of Material Parameters in Darcy Flow

Original language description

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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

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

Name of the periodical

Advances in Electrical and Electronic Engineering

ISSN

1336-1376

e-ISSN

—

Volume of the periodical

15

Issue of the periodical within the volume

2

Country of publishing house

SK - SLOVAKIA

Number of pages

9

Pages from-to

258-266

UT code for WoS article

000409044400017

EID of the result in the Scopus database

2-s2.0-85025665571