References on multiscale simulation
MS FEM for mechanical deformation and/or coupled problem
1. T.J.R. Hughes, G. R. Feijóo, L. Mazzei, J.-B. Quincy, The variational multiscale method—a paradigm for computational mechanics, Computer Methods in Applied Mechanics and Engineering, Vol 166, 1–2, 1998.
2. H.W. Zhang , Z.D. Fu, J.K. Wu, Coupling MSFEM for consolidation analysis of heterogeneous saturated porous media, AWR 32 (2009) 268–279:
MS FEM for fluid flow and transport
3. T. Y. Hou and X. H. Wu, A multiscale finite element method for elliptic problems in composite materials and porous media, Journal of Computational Physics, 134, 169-189, 1997.
4. Y. Efendiev, V. Ginting, T. Hou and R. Ewing, Accurate multiscale finite element methods for two-phase flow simulations, J. Comp. Physics, 220 (1), pp. 155-174, 2006
5. Hauge, VL, Lie, Knut-Andreas, Natvig, JR. Flow-based coarsening for multiscale simulation of transport in porous media. Comput. Geosci. 2011
Other MSFVM and other multiscale methods
6. P. Jenny, S. H. Lee, H. A. Tchelepi. Multi-scale finite-volume method for elliptic problems in subsurface flow simulation. J. Comput. Phys., 187(1):47–67, May 2003.
7. T. Arbogast, An overview of subgrid upscaling for elliptic problems in mixed form, in: Z. Chen, R. Glowinski, K. Li (Eds.), Current trends in scientific computing, Contemporary Mathematics, AMS, 2003, pp. 21–32.
Last modified on July 22, 2012 Sunday, 22-Jul-2012 15:08:10 PDT