MIXED MULTISCALE FINITE ELEMENT METHODS FOR STOCHASTIC POROUS MEDIA FLOWS Academic Article

abstract

• In this paper, we propose a stochastic mixed multiscale finite element method. The proposed method solves the stochastic porous media flow equation on the coarse grid using a set of precomputed basis functions. The precomputed basis functions are constructed based on selected realizations of the stochastic permeability field, and furthermore the solution is projected onto the finite-dimensional space spanned by these basis functions. We employ multiscale methods using limited global information since the permeability fields do not have apparent scale separation. The proposed approach does not require any interpolation in stochastic space and can easily be coupled with interpolation-based approaches to predict the solution on the coarse grid. Numerical results are presented for permeability fields with normal and exponential variograms. 2008 Society for Industrial and Applied Mathematics.

authors

• Efendiev, Yalchin

published proceedings

• SIAM JOURNAL ON SCIENTIFIC COMPUTING

author list (cited authors)

• Aarnes, J. E., & Efendiev, Y.

citation count

• 67

complete list of authors

• Aarnes, JE||Efendiev, Y

publication date

• January 2008

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Scientific Computing  Journal

keywords

• Finite Element
• Multiscale
• Porous Media
• Stochastic

Digital Object Identifier (DOI)

• 10.1137/07070108X

URI

• https://hdl.handle.net/1969.1/185464

start page

• 2319

end page

• 2339

volume

• 30

issue

• 5

URL

• http://dx.doi.org/10.1137/07070108x