Bayesian updating of uncertanties in the description of heat and moisture transport in heterogenous materials

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F12%3A00309678" target="_blank" >RIV/68407700:21110/12:00309678 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Bayesian updating of uncertanties in the description of heat and moisture transport in heterogenous materials

Original language description

The description of heterogenous material is here given within the probabilistic framework, where uncertain material properties in time and/or space are represented by stochastic processes and fields. For material with uncertain structure such as quarry, masonry etc., we study the coupled heat and moisture trasnport modelled by the Künzel equations. The transport coefficients defining the material behavior are nonlinear functions of structural responses - the temperature and moisture fields - and material properties. In order to closely determine the mentioned parameters of such system we focus our attention on the solution of inverse problem via direct, non-sampling Bayesian update methods which combine the a priori information with the measurment data for the description of the posterior distribution of parameters. Namely, we consider material parameters, observations and forward operator as random. Since the measurments are always polluted by some kind of measurment error we modell it here by a Gaussian distribution. The new approach has shown to be effective and reliable in comparison to most methods, which take the form of integrals over the posterior and compute them by sampling, e.g. Markov chain Monte Carlo (MCMC). In addition, we compare our method with this and other Bayesian update methods.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

JM - Structural engineering

OECD FORD branch

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Project

<a href="/en/project/GAP105%2F11%2F0411" target="_blank" >GAP105/11/0411: Computational and theoretical techniques for non-linear material models with uncertain parameters</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2012

Confidentiality

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

Article name in the collection

Adaptive Modeling and Simulation 2011

ISBN

9788493964030

ISSN

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e-ISSN

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Number of pages

8

Pages from-to

415-422

Publisher name

International Center for Numerical Methods in Engineering (CIMNE)

Place of publication

Barcelona

Event location

Paris

Event date

Jun 6, 2011

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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