Multiscale simulations of porous media flows in flow-based coordinate system (2008)
Efendiev, Y., Hou, T., Strinopoulos, T.
In this paper, we propose a multiscale technique for the simulation of porous media flows in a flow-based coordinate system. A flow-based coordinate system allows us to simplify the scale interaction...
Dostert, P., Efendiev, Y., Hou, T. Y.
In this paper, we study multiscale finite element methods for stochastic porous media flow equations as well as applications to uncertainty quantification. We assume that the permeability field (the...
Preconditioning Markov Chain Monte Carlo Simulations Using Coarse-Scale Models (2006)
Efendiev, Y., Hou, T., Luo, W.
We study the preconditioning of Markov chain Monte Carlo (MCMC) methods using coarse-scale models with applications to subsurface characterization. The purpose of preconditioning is to reduce the...
Upscaled modeling in multiphase flow applications (2004)
Ginting,V., Ewing,R., Efendiev,Y., Lazarov,R.
In this paper we consider upscaling of multiphase flow in porous media. We propose numerical techniques for upscaling of pressure and saturation equations. Extensions and applications of these...
Multiscale Finite Element Methods for Nonlinear Problems and Their Applications (2004)
Efendiev, Y., Ginting, V., Hou, T. Y.
In this paper we propose a generalization of multiscale finite element methods (Ms-FEM) to nonlinear problems. We study the convergence of the proposed method for nonlinear elliptic equations and...