A study of stochastic FEM method for porous media flow problem

0472750 - ÚGN 2017 RIV VN eng C - Konferenční příspěvek (zahraniční konf.)
Blaheta, Radim - Béreš, M. - Domesová, S.
A study of stochastic FEM method for porous media flow problem.
Applied Mathematics in Engineering and Reliability. Ho Chi Minh: Ton Duc Thang Univ, Ho Chi Minh, VIETNAM, 2016 - (Bris, R.; Dao, P.), s. 281-289. ISBN 978-1-138-02928-6.
[ICAMER - International Conference on Applied Mathematics in Engineering and Reliability /1./. Ho Chi Minh (VN), 04.05.2016-06.05.2016]
Institucionální podpora: RVO:68145535
Klíčová slova: stochastic FEM * heterogeneous porous materials * velocity
Kód oboru RIV: BA - Obecná matematika
http://www.crcnetbase.com/doi/pdfplus/10.1201/b21348-47

The paper provides an overview of the stochastic Finite Element Method (FEM) for the investigation of the flow in heterogeneous porous materials with a microstructure being a Gaussian random field. Quantities characterizing the flow are random variables and the aim is to estimate their probability distribution. The integral mean of the velocity over the domain is one of these quantities, which is numerically analyzed for a described model problem. The estimation of those quantities is realized using the standard Monte Carlo method and the multilevel Monte Carlo method. The paper also concerns the use of the mixed finite element method for the solution of the Darcy flow and efficient assembling and solving of the arising linear systems.
Trvalý link: http://hdl.handle.net/11104/0269978