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

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F17%3A00482834" target="_blank" >RIV/68145535:_____/17:00482834 - isvavai.cz</a>

  • Result on the web

    <a href="http://advances.utc.sk/index.php/AEEE/article/view/2280" target="_blank" >http://advances.utc.sk/index.php/AEEE/article/view/2280</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.15598/aeee.v15i2.2280" target="_blank" >10.15598/aeee.v15i2.2280</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • 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

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • 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

    13

  • Pages from-to

    267-279

  • UT code for WoS article

    000409044400018

  • EID of the result in the Scopus database

    2-s2.0-85025595208