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The Stochastic Galerkin Method for Darcy Flow Problem with Log-Normal Random

SYSNO ASEP	0482834
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	The Stochastic Galerkin Method for Darcy Flow Problem with Log-Normal Random
Author(s)	Beres, Michal (UGN-S) Domesová, Simona (UGN-S)_{ORCID, SAI, RID}
Number of authors	2
Source Title	Advances in Electrical and Electronic Engineering - ISSN 1336-1376 Roč. 15, č. 2 (2017), s. 267-279
Number of pages	13 s.
Publication form	Online - E
Language	eng - English
Country	SK - Slovakia
Keywords	Darcy flow ; Gaussian random field ; Karhunen-Loeve decomposition ; polynomial chaos ; Stochastic Galerkin method
Subject RIV	BA - General Mathematics
OECD category	Applied mathematics
R&D Projects	LQ1602 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
Institutional support	UGN-S - RVO:68145535
UT WOS	000409044400018
EID SCOPUS	85025595208
DOI	10.15598/aeee.v15i2.2280
Annotation	This article presents a study of the Stochastic Galerkin Method (SGM) applied to the Darcy flow problem with a log-normally distributed random material field given by a mean value and an autocovariance function. We divide the solution of the problem into two parts. The first one is the decomposition of a random field into a sum of products of a random vector and a function of spatial coordinates, this can be achieved using the Karhunen-Loeve expansion. The second part is the solution of the problem using SGM. SGM is a simple extension of the Galerkin method in which the random variables represent additional problem dimensions. For the discretization of the problem, we use a finite element basis for spatial variables and a polynomial chaos discretization for random variables. The results of SGM can be utilised for the analysis of the problem, such as the examination of the average flow, or as a tool for the Bayesian approach to inverse problems.
Workplace	Institute of Geonics
Contact	Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354
Year of Publishing	2018
Electronic address	http://advances.utc.sk/index.php/AEEE/article/view/2280

Number of the records: 1