Multi-scale iterative techniques and adaptive mesh refinement for flow in porous media
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[1] R. P. Kendall,et al. An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations , 1968 .
[2] W. K. Hastings,et al. Monte Carlo Sampling Methods Using Markov Chains and Their Applications , 1970 .
[3] J. Bear. Dynamics of Fluids in Porous Media , 1975 .
[4] D. W. Peaceman. Fundamentals of numerical reservoir simulation , 1977 .
[5] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[6] K. Aziz,et al. Petroleum Reservoir Simulation , 1979 .
[7] M. Berger,et al. Adaptive mesh refinement for hyperbolic partial differential equations , 1982 .
[8] D. W. Peaceman. Interpretation of well-block pressures in numerical reservoir simulation with nonsquare grid blocks and anisotropic permeability , 1983 .
[9] J. Whiteman. The Mathematics of Finite Elements and Applications. , 1983 .
[10] P. Sweby. High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws , 1984 .
[11] O. Axelsson. Incomplete block matrix factorization preconditioning methods. The ultimate answer , 1985 .
[12] D. Arnold,et al. Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates , 1985 .
[13] P. Colella. A Direct Eulerian MUSCL Scheme for Gas Dynamics , 1985 .
[14] Stanley Osher,et al. Convergence of Generalized MUSCL Schemes , 1985 .
[15] S. Whitaker. Flow in porous media I: A theoretical derivation of Darcy's law , 1986 .
[16] Peter R. King,et al. The use of field theoretic methods for the study of flow in a heterogeneous porous medium , 1987 .
[17] A. Weiser,et al. On convergence of block-centered finite differences for elliptic-problems , 1988 .
[18] Richard E. Ewing,et al. A preconditioning technique for the efficient solution of problems with local grid refinement , 1988 .
[19] K. Mardia. Multi-dimensional multivariate Gaussian Markov random fields with application to image processing , 1988 .
[20] Joseph E. Flaherty,et al. Adaptive Methods for Partial Differential Equations , 1989 .
[21] P. Colella,et al. Local adaptive mesh refinement for shock hydrodynamics , 1989 .
[22] P. King. The use of renormalization for calculating effective permeability , 1989 .
[23] P. Colella. Multidimensional upwind methods for hyperbolic conservation laws , 1990 .
[24] S. P. Neuman,et al. A quasi-linear theory of non-Fickian and Fickian subsurface dispersion , 1990 .
[25] John H. Cushman,et al. Dynamics of fluids in hierarchical porous media , 1990 .
[26] R. Ewing,et al. Characteristic adaptive subdomain methods for reservoir flow problems , 1990 .
[27] R. LeVeque. Numerical methods for conservation laws , 1990 .
[28] J. Pasciak,et al. Convergence estimates for product iterative methods with applications to domain decomposition , 1991 .
[29] L. Durlofsky. Numerical calculation of equivalent grid block permeability tensors for heterogeneous porous media , 1991 .
[30] P. Vassilevski,et al. Local refinement techniques for elliptic problems on cell-centered grids. I. Error analysis , 1991 .
[31] J. Pasciak,et al. The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms , 1991 .
[32] Numerical simulation and homogenization of two-phase flow in heterogeneous porous media , 1991 .
[33] Jean E. Roberts,et al. Mixed and hybrid methods , 1991 .
[34] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[35] L. Gelhar. Stochastic Subsurface Hydrology , 1992 .
[36] Richard E. Ewing,et al. Analysis of mixed finite element methods on locally refined grids , 1992 .
[37] Richard E. Ewing,et al. Domain Decomposition Methods for Problems with Partial Refinement , 1992, SIAM J. Sci. Comput..
[38] S. H. Lee,et al. The Productivity Index of an Inclined Well in Finite-Difference Reservoir Simulation , 1993 .
[39] Gedeon Dagan,et al. Upscaling of permeability of anisotropic heterogeneous formations: 1. The general framework , 1993 .
[40] Zhangxin Chen. Analysis of mixed methods using conforming and nonconforming finite element methods , 1993 .
[41] Gedeon Dagan,et al. Upscaling of conductivity of heterogeneous formations: General approach and application to isotropic media , 1993 .
[42] Joseph E. Pasciak,et al. New estimates for multilevel algorithms including the V-cycle , 1993 .
[43] G. Dagan,et al. Upscaling of permeability of anisotropic heterogeneous formations: 2. General structure and small perturbation analysis , 1993 .
[44] G. Golub,et al. Inexact and preconditioned Uzawa algorithms for saddle point problems , 1994 .
[45] Cass T. Miller,et al. Cleopatra’s Nose and the Diagrammatic Approach to Flow Modelling in Random Porous Media , 1994 .
[46] J. Saltzman,et al. An unsplit 3D upwind method for hyperbolic conservation laws , 1994 .
[47] C. Bernardi,et al. A New Nonconforming Approach to Domain Decomposition : The Mortar Element Method , 1994 .
[48] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[49] Eric R. Ziegel,et al. Geostatistics for the Next Century , 1994 .
[50] M. Edwards,et al. Multigrid and Renormalization for Reservoir Simulation , 1994 .
[51] Vivek Kapoor,et al. Transport in three-dimensionally heterogeneous aquifers: 1. Dynamics of concentration fluctuations , 1994 .
[52] Lawrence Charles Cowsar. Some domain decomposition and multigrid preconditioners for hybrid mixed finite elements , 1994 .
[53] L. Gelhar,et al. Transport in three-dimensionally heterogeneous aquifers: 2. Predictions and observations of concentration fluctuations , 1994 .
[54] Michael G. Edwards,et al. A Flux Continuous Scheme for the Full Tensor Pressure Equation , 1994 .
[55] O. Axelsson. Iterative solution methods , 1995 .
[56] John H. Cushman,et al. A resumé of nonlocal transport theories , 1995 .
[57] John A. Trangenstein,et al. Adaptive Mesh Refinement for Wave Propagation in Nonlinear Solids , 1995, SIAM J. Sci. Comput..
[58] Peter R. King,et al. Effective properties for flow calculations , 1995 .
[59] Mark T. Jones,et al. An improved incomplete Cholesky factorization , 1995, TOMS.
[60] Zhangxin Chen,et al. On the implementation of mixed methods as nonconforming methods for second-order elliptic problems , 1995 .
[61] Mark Mansfield,et al. A Renormalisation-Based Upscaling Technique for WAG Floods in Heterogeneous Reservoirs , 1995 .
[62] Ivan Yotov,et al. Mixed finite element methods for flow in porous media , 1996 .
[63] Apostol T. Vassilev,et al. Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems , 1997 .
[64] Richard D. Hornung,et al. Adaptive Mesh Refinement and Multilevel Iteration for Flow in Porous Media , 1997 .
[65] D. Oliver,et al. Markov chain Monte Carlo methods for conditioning a permeability field to pressure data , 1997 .
[66] E. Ziegel,et al. geoENV VII: Geostatistics for Environmental Applications , 1997 .
[67] P. Renard,et al. Simplified Renormalization: A New Quick Upscaling Technique , 1997 .
[68] Cass T. Miller,et al. Multiphase flow and transport modeling in heterogeneous porous media: challenges and approaches , 1998 .
[69] M. Wheeler,et al. Coupling Different Numerical Algorithms for Two Phase Fluid Flow , 2000 .
[70] Todd Arbogast,et al. Mixed Finite Element Methods on Nonmatching Multiblock Grids , 2000, SIAM J. Numer. Anal..
[71] Todd Arbogast,et al. Numerical Subgrid Upscaling of Two-Phase Flow in Porous Media , 2000 .
[72] Randall J. LeVeque,et al. A wave propagation method for three-dimensional hyperbolic conservation laws , 2000 .
[73] Michael Andrew Christie,et al. Cupiagua: A Complex Full-Field Fractured Reservoir Study Using Compositional Upscaling , 2001 .
[74] Mike West,et al. Markov Random Field Models for High-Dimensional Parameters in Simulations of Fluid Flow in Porous Media , 2002, Technometrics.
[75] Dave Higdon,et al. A Bayesian approach to characterizing uncertainty in inverse problems using coarse and fine-scale information , 2002, IEEE Trans. Signal Process..
[76] Michael Andrew Christie,et al. Effective Flux Boundary Conditions for Upscaling Porous Media Equations , 2002 .
[77] Michael Andrew Christie,et al. Application of Effective Flux Boundary Conditions to Two-Phase Upscaling in Porous Media , 2002 .