A study of stochastic FEM method for porous media flow problem

被引：0
|
作者：
Blaheta, R. [1 ]
Beres, M. [1 ,2 ]
Domesova, S. [1 ,2 ]
机构：
[1] CAS, Inst Geon, Ostrava, Czech Republic
[2] VSB Tech Univ Ostrava, Ostrava, Czech Republic
来源：
APPLIED MATHEMATICS IN ENGINEERING AND RELIABILITY | 2016年
关键词：
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
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.
引用
收藏
页码：281 / 289
页数：9
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