@Misc{Arcoperm_1997, key = {Arcoperm_1997}, title = {ArcoPerm permeability field data.}, howpublished = {Personal correspondence}, comment = {From ``a guy from ARCO who was generating synthetic shale distributions''}, year = {1997} } @Article{Beccari_1997, author = {Claudio Beccari}, title = {Typesetting mathematics for science and technology according to {ISO} 31/{XI}}, journal = {TUGboat}, year = {1997}, volume = {18}, number = {1}, pages = {39--48}, month = {March} } @Book{Braess_2001, author = {Dietrich Braess}, title = {Finite elements : theory, fast solvers, and applications in solid mechanics}, publisher = {Cambridge University Press}, year = {2001}, address = {New York}, edition = {Second}, comment = {First (and second?) edition translated by Larry L. Shumaker.} } @Book{Bramble_1993, author = {James H. Bramble}, title = {Multigrid Methods}, publisher = {Longman Scientific and Technical}, year = {1993}, number = {294}, series = {Pitman Research Notes in Mathematics}, address = {New York} } @Article{BPWX_1991A, author = {James H. Bramble and Joseph E. Pasciak and J. Wang and Jinchao Xu}, title = {Convergence estimates for multigrid algorithms without regularity assumptions}, journal = {Mathematics of Computation}, year = {1991}, OPTvolume = {57}, OPTnumber = {}, OPTpages = {23--45} } @Article{BPWX_1991B, author = {James H. Bramble and Joseph E. Pasciak and J. Wang and Jinchao Xu}, title = {Convergence estimates for product iterative methods with applications to domain decomposition}, journal = {Mathematics of Computation}, year = {1991}, volume = {57}, OPTnumber = {}, pages = {1--21} } @Article{BPX_1991, author = {James H. Bramble and Joseph E. Pasciak and Jinchao Xu}, title = {The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms}, journal = {Mathematics of Computation}, year = {1991}, volume = {56}, OPTnumber = {}, pages = {1--34} } @Book{BHM_2000, author = {William L. Briggs and Van Emden Henson and Stephen Fahrney McCormick}, title = {A Multigrid Tutorial}, publisher = {SIAM}, year = {2000}, OPTaddress = {Philadelphia}, OPTedition = {Second} } @Book{Bruaset_1995, author = {Are Magnus Bruaset}, title = {A Survey of Preconditioned Iterative Methods}, publisher = {Longman Scientific and Technical (John Wiley)}, year = {1995}, number = {328}, series = {Pitman Research Notes in Mathematics}, address = {New York} } @Article{CDGW_2003, author = {Y. Chen and Louis J. Durlofsky and M. Gerritsen and Xian-Huan Wen}, title = {A Coupled Local-Global Upscaling Approach for Simulating Flow in Highly Heterogeneous Formations}, journal = {Advances in Water Resources}, year = {2003}, note = {Submitted.} } @InBook{Darcy_1856, author = {Henry Darcy}, title = {The Public Fountains of the City of {Dijon}}, chapter = {Appendix D}, publisher = {Victor Dalmont}, year = {1856}, address = {Paris}, comment = {The title of the appendix is actually: ``HISTORY OF THE PUBLIC FOUNTAINS OF DIJON. APPENDIX. - NOTE D. Determination of the laws of water flow through sand.'' V. Dalmont is also noted as the editor. The original title in French is ``Les Fontaines Publiques de la Ville de Dijon.''}, url = {http://biosystems.okstate.edu/darcy/} } @Book{Demmel_1997, author = {James W. Demmel}, title = {Applied numerical linear algebra}, publisher = {SIAM}, year = {1997}, address = {Philadelphia} } @Book{Dennis_Schnabel_1996, author = {John E. Dennis and Robert B. Schnabel}, title = {Numerical Methods for Unconstrained Optimization and Nonlinear Equations}, publisher = {SIAM}, year = {1996}, number = {16}, series = {Classics in Applied Mathematics}, address = {Philadelphia}, OPTedition = {1.5} } @Book{Deutsch_Journel_1997, author = {Clayton V. Deutsch and Andre G. Journel}, title = {{GSLIB} geostatistical software library and user's guide}, publisher = {Oxford University Press}, year = {1997}, address = {New York}, edition = {Second} } @Article{Durlofsky_2002, author = {Louis J. Durlofsky}, title = {Upscaling of Geological Models for Reservoir Simulation: Issues and Approaches}, journal = {Computational Geosciences}, year = {2002}, volume = {6}, OPTnumber = {}, pages = {1--4} } @Article{Farmer_2002, author = {C. L. Farmer}, title = {Upscaling: a review}, journal = {International Journal for Numerical Methods in Fluids}, year = {2002}, volume = {40}, number = {1--2}, pages = {63--78}, comment = {ICFD Conference on Numerical Methods for Fluid Dynamics (Oxford, 2001).} } @InProceedings{GLMT_1985, author = {James Glimm and others}, others = {Brent Lindquist and Oliver McBryan and Gretar Tryggvason}, title = {Sharp and Diffuse Fronts in Oil Reservoirs: Front Tracking and Capillarity}, booktitle = {Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling}, pages = {54--76}, year = {1985}, editor = {William E. Fitzgibbon}, address = {Philadelphia}, publisher = {SIAM}, comment = {Proceedings of the Conference on Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling, Houston, Texas, January 21-24, 1985. This conference was sponsored by SEG, SIAM, and SPE. Published in 1986?} } @Book{Golub_VanLoan_1996, author = {Gene H. Golub and Charles F. {Van Loan}}, title = {Matrix Computations}, publisher = {The Johns Hopkins University Press}, year = {1996}, address = {Baltimore}, edition = {Third} } @Book{Hackbusch_1985, author = {Wolfgang Hackbusch}, title = {Multi-grid methods and applications}, publisher = {Springer-Verlag}, year = {1985}, number = {4}, series = {Computational mathematics}, address = {New York} } @Book{Hackbusch_1993, author = {Wolfgang Hackbusch}, title = {Iterative Solution of Large Sparse Systems of Equations}, publisher = {Springer-Verlag}, year = {1993}, number = {95}, series = {Applied Mathematical Sciences}, address = {New York} } @Article{Holden_Nielsen_2000, author = {L. Holden and B. F. Nielsen}, title = {Global upscaling of permeability in heterogeneous reservoirs; the output least squares ({OLS}) method}, journal = {Transport Porous Media}, year = {2000}, volume = {40}, OPTnumber = {}, pages = {115--143} } @Misc{Lindquist_1992, author = {Brent Lindquist}, title = {Geostatistically generated permeability field data}, howpublished = {Personal correspondence}, month = {October}, year = {1992}, comment = {SUNY at Stony Brook} } @Book{McCormick_1987, editor = {Stephen Fahrney McCormick}, title = {Multigrid methods}, publisher = {SIAM}, year = {1987}, OPTnumber = {3}, OPTseries = {Frontiers in applied mathematics}, OPTaddress = {Philadelphia} } @InCollection{Roberts_Thomas_1991, author = {J. E. Roberts and Jean-Marie Thomas}, title = {Mixed and Hybrid Methods}, booktitle = {Handbook of Numerical Analysis}, pages = {523--639}, publisher = {Elsevier Science Publishers B.V. (North-Holland)}, year = {1991}, editor = {P. G. Ciarlet and J. L. Lions}, volume = {2}, address = {Amsterdam}, OPTchapter = {Finite Element Methods (Part 1)}, OPTnote = {} } @Book{Saad_1995, author = {Yousef Saad}, title = {Iterative Methods for Sparse Linear Systems}, publisher = {Brooks/Cole}, year = {1995}, OPTvolume = {}, OPTnumber = {}, OPTseries = {Computer Science Series}, OPTaddress = {}, OPTedition = {Second edition is forthcoming from SIAM in 2003.} } @Book{Sahimi_1995, author = {Muhammad Sahimi}, title = {Flow and Transport in Porous Media and Fractured Rock: From classical methods to modern approaches}, publisher = {VCH}, year = {1995}, address = {New York} } @Book{Shaidurov_1995, author = {V. V. Shaidurov}, title = {Multigrid methods for finite elements}, publisher = {Kluwer Academic Publishers}, year = {1995}, volume = {318}, series = {Mathematics and its applications}, address = {Boston}, comment = {The Russian title is ``Mnogosetochnye metody konechnykh elementov.''} } @Article{Wen_GomezHernandez_1996, author = {Xian-Huan Wen and Jaime J. G{\'o}mez-Hern{\'a}ndez}, title = {Upscaling hydraulic conductivities in heterogeneous media: An overview}, journal = {Journal of Hydrology}, year = {1996}, OPTvolume = {183}, OPTpages = {ix--xxxii} } @Book{Wesseling_1992, author = {Pieter Wesseling}, title = {An Introduction to Multigrid Methods}, publisher = {John Wiley}, year = {1992}, OPTseries = {Pure and applied mathematics (John Wiley & Sons : Unnumbered)}, address = {New York} } @Article{Xu_1992, author = {Jinchao Xu}, title = {Iterative methods by space decomposition and subspace correction: A unifying approach}, journal = {SIAM Review}, year = {1992}, volume = {34}, OPTnumber = {}, pages = {581--613} } @InProceedings{Xu_1997A, author = {Jinchao Xu}, title = {An introduction to multigrid convergence theory}, booktitle = {Iterative methods in scientific computing}, OPTpages = {}, year = {1997}, editor = {Raymond H. Chan and Tony F. Chan and Gene H. Golub}, address = {Singapore}, publisher = {Springer}, comment = {Contains the completed versions of lecture notes from nine sessions of the Winter School on Iterative Methods in Scientific Computing and their Applications, held in Hong Kong, December 14-20, 1995.} } @InProceedings{Xu_1997B, author = {Jinchao Xu}, title = {An introduction to multilevel methods}, booktitle = {Wavelets, Multilevel Methods and Elliptic PDEs}, pages = {213--302}, year = {1997}, editor = {M. Ainsworth and J. Levesley and M. Marletta and W. A. Light}, series = {Numerical Mathematics and Scientific Computation (Oxford science publications)}, address = {Oxford}, publisher = {Clarendon Press}, comment = {7th EPSRC numerical analysis summer school, University of Leicester, Leicester, GB, July 8-19, 1996.} } @Article{Yserentant_1993, author = {Harry Yserentant}, title = {Old and new convergence proofs for multigrid methods}, journal = {Acta Numerica}, year = {1993}, volume = {3}, OPTnumber = {}, pages = {285--326} }