Edit Profile (opens in new tab) Gray, William G. Co-Author Distance Author ID: gray.william-g Published as: Gray, William G.; Gray, W. G.; Gray, William G more...less Documents Indexed: 38 Publications since 1976, including 3 Books 2 Contributions as Editor Co-Authors: 34 Co-Authors with 35 Joint Publications 671 Co-Co-Authors all top 5 Co-Authors 5 single-authored 6 Kinnmark, Ingemar P. E. 5 Schrefler, Bernhard A. 4 Lynch, Daniel R. 3 Muccino, Julia C. 3 Pinder, George Francis 2 Brebbia, Carlos Alberto 2 Celia, Michael A. 2 Hassanizadeh, S. M. 2 Pesavento, Francesco 1 Abriola, Linda M. 1 Berrill, Mark A. 1 Blain, Cheryl A. 1 Botha, Joseph F. 1 Cakmak, Ahmet S. 1 Dahle, Helge K. 1 Decuzzi, Paolo 1 Dye, Amanda L. 1 Ferrari, Mauro 1 Foreman, M. G. G. 1 Gasda, Sarah E. 1 Ghidaoui, Mohamed S. 1 Herrera, Paulo A. 1 Kolar, R. K. 1 Kolar, Randall L. 1 Lee, P. C. Y. 1 Leijnse, Anton 1 McClure, James E. 1 Miller, Cass T. 1 Reggiani, Paolo 1 Sciumè, Giuseppe 1 Sivapalan, Murugesu 1 van Genuchten, Martinus Th. 1 Westerink, Joannes J. 1 Xu, Kun all top 5 Serials 5 International Journal of Multiphase Flow 5 International Journal for Numerical Methods in Engineering 4 International Journal for Numerical Methods in Fluids 3 Mathematics and Computers in Simulation 2 Computers and Fluids 2 Journal of Computational Physics 2 Journal of the Mechanics and Physics of Solids 2 Numerical Methods for Partial Differential Equations 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Fluid Mechanics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Archives of Computational Methods in Engineering 1 Entropy 1 International Journal of Numerical Analysis and Modeling all top 5 Fields 25 Fluid mechanics (76-XX) 16 Numerical analysis (65-XX) 7 Mechanics of deformable solids (74-XX) 7 Geophysics (86-XX) 4 Ordinary differential equations (34-XX) 3 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 267 times in 216 Documents Cited by ▼ Year ▼ A wave equation model for finite element tidal computations. Zbl 0421.76013 Lynch, Daniel R.; Gray, William G. 43 1979 Analysis of the solid phase stress tensor in multiphase porous media. Zbl 1196.74040 Gray, William G.; Schrefler, Bernhard A. 26 2007 Thermodynamic approach to effective stress in partially saturated porous media. Zbl 1034.74019 Gray, William G.; Schrefler, Bernhard A. 20 2001 Finite element simulation of flow in deforming regions. Zbl 0433.76018 Lynch, Daniel R.; Gray, William G. 19 1980 On the theorems for local volume averaging of multiphase systems. Zbl 0375.76081 Gray, W. G.; Lee, P. C. Y. 16 1977 Mathematical tools for changing spatial scales in the analysis of physical systems. Zbl 0859.35097 Gray, William G.; Leijnse, Anton; Kolar, Randall L.; Blain, Cheryl A. 15 1993 The solid phase stress tensor in porous media mechanics and the Hill-Mandel condition. Zbl 1170.74324 Gray, William G.; Schrefler, Bernhard A.; Pesavento, Francesco 14 2009 One step integration methods of third-fourth order accuracy with large hyperbolic stability limits. Zbl 0539.65051 Kinnmark, Ingemar P. E.; Gray, William G. 12 1984 On computational modeling in tumor growth. Zbl 1349.92013 Sciumè, G.; Gray, W. G.; Ferrari, M.; Decuzzi, P.; Schrefler, Bernard A. 11 2013 Numerical methods for differential equations. Fundamental concepts for scientific and engineering applications. Zbl 0753.65073 Celia, Michael A.; Gray, William G. 9 1992 One step integration methods with maximum stability regions. Zbl 0539.65050 Kinnmark, Ingemar P. E.; Gray, William G. 9 1984 Boundary conditions in shallow water models. — An alternative implementation for finite element codes. Zbl 0889.76036 Kolar, R. K.; Gray, W. G.; Westerink, J. J. 8 1996 A Boltzmann based model for open channel flows. Zbl 1013.76053 Ghidaoui, M. S.; Deng, J. Q.; Gray, W. G.; Xu, K. 8 2001 An improved isoparametric transformation for finite element analysis. Zbl 0537.73061 Celia, Michael A.; Gray, William G. 7 1984 Averaging theorems and averaged equations for transport of interface properties in multiphase systems. Zbl 0665.76123 Gray, W. G.; Hassanizadeh, S. M. 6 1989 Economical alternatives to Gaussian quadrature over isoparametric quadrilaterals. Zbl 0388.65008 Gray, William G.; van Genuchten, Martinus Th. 6 1978 On the control of noise in finite element tidal computations: A semi- implicit approach. Zbl 0393.76048 Gray, William G.; Lynch, Daniel R. 6 1978 An efficient finite element scheme for two-dimensional surface water computation. Zbl 0382.76012 Gray, William G. 5 1977 On the relationship between the finite element and finite difference methods. Zbl 0325.65050 Gray, William G.; Pinder, George F. 4 1976 Tracking interface and common curve dynamics for two-fluid flow in porous media. Zbl 1462.76183 McClure, J. E.; Berrill, M. A.; Gray, W. G.; Miller, C. T. 4 2016 A two-dimensional analysis of the wave equation model for finite element tidal computations. Zbl 0562.76020 Kinnmark, Ingemar P. E.; Gray, William G. 3 1984 Work input for unsaturated elastic porous media. Zbl 1244.74007 Gray, William G.; Schrefler, Bernhard A.; Pesavento, Francesco 3 2010 Stability and accuracy of spatial approximations for wave equation tidal models. Zbl 0573.76020 Kinnmark, Ingemar P. E.; Gray, William G. 2 1985 Local volume averaging of multiphase systems using a non-constant averaging volume. Zbl 0545.76113 Gray, William G. 2 1983 Finite elements in water resources. Proceedings of the second international conference in water resources held at Imperial College, London, in July, 1978. Zbl 0389.76001 2 1978 Macroscale equilibrium conditions for two-phase flow in porous media. Zbl 1137.76596 Gray, William G. 2 2000 Accuracy of multivalue methods during change of time-step size: Adams-Moulton. Zbl 0994.65084 Gray, William G.; Muccino, Julia C. 1 2000 Calculation of vertical velocity in three-dimensional, shallow water equation, finite element models. Zbl 0916.76036 Muccino, J. C.; Gray, W. G.; Foreman, M. G. G. 1 1997 Coupled equations for mass and momentum balance in a stream network: Theoretical derivation and computational experiments. Zbl 0985.86001 Reggiani, Paolo; Sivapalan, Murugesu; Hassanizadeh, S. M.; Gray, William G. 1 2001 On normal flow boundary conditions in finite element codes for two- dimensional shallow water flow. Zbl 0541.76021 Gray, William G. 1 1984 Finite elements in water resources. Proceedings of the 1st international conference on finite elements in water resources, held at Princeton University, U.S.A., in July, 1976. Zbl 0342.00022 1 1977 Tracking interface and common curve dynamics for two-fluid flow in porous media. Zbl 1462.76183 McClure, J. E.; Berrill, M. A.; Gray, W. G.; Miller, C. T. 4 2016 On computational modeling in tumor growth. Zbl 1349.92013 Sciumè, G.; Gray, W. G.; Ferrari, M.; Decuzzi, P.; Schrefler, Bernard A. 11 2013 Work input for unsaturated elastic porous media. Zbl 1244.74007 Gray, William G.; Schrefler, Bernhard A.; Pesavento, Francesco 3 2010 The solid phase stress tensor in porous media mechanics and the Hill-Mandel condition. Zbl 1170.74324 Gray, William G.; Schrefler, Bernhard A.; Pesavento, Francesco 14 2009 Analysis of the solid phase stress tensor in multiphase porous media. Zbl 1196.74040 Gray, William G.; Schrefler, Bernhard A. 26 2007 Thermodynamic approach to effective stress in partially saturated porous media. Zbl 1034.74019 Gray, William G.; Schrefler, Bernhard A. 20 2001 A Boltzmann based model for open channel flows. Zbl 1013.76053 Ghidaoui, M. S.; Deng, J. Q.; Gray, W. G.; Xu, K. 8 2001 Coupled equations for mass and momentum balance in a stream network: Theoretical derivation and computational experiments. Zbl 0985.86001 Reggiani, Paolo; Sivapalan, Murugesu; Hassanizadeh, S. M.; Gray, William G. 1 2001 Macroscale equilibrium conditions for two-phase flow in porous media. Zbl 1137.76596 Gray, William G. 2 2000 Accuracy of multivalue methods during change of time-step size: Adams-Moulton. Zbl 0994.65084 Gray, William G.; Muccino, Julia C. 1 2000 Calculation of vertical velocity in three-dimensional, shallow water equation, finite element models. Zbl 0916.76036 Muccino, J. C.; Gray, W. G.; Foreman, M. G. G. 1 1997 Boundary conditions in shallow water models. — An alternative implementation for finite element codes. Zbl 0889.76036 Kolar, R. K.; Gray, W. G.; Westerink, J. J. 8 1996 Mathematical tools for changing spatial scales in the analysis of physical systems. Zbl 0859.35097 Gray, William G.; Leijnse, Anton; Kolar, Randall L.; Blain, Cheryl A. 15 1993 Numerical methods for differential equations. Fundamental concepts for scientific and engineering applications. Zbl 0753.65073 Celia, Michael A.; Gray, William G. 9 1992 Averaging theorems and averaged equations for transport of interface properties in multiphase systems. Zbl 0665.76123 Gray, W. G.; Hassanizadeh, S. M. 6 1989 Stability and accuracy of spatial approximations for wave equation tidal models. Zbl 0573.76020 Kinnmark, Ingemar P. E.; Gray, William G. 2 1985 One step integration methods of third-fourth order accuracy with large hyperbolic stability limits. Zbl 0539.65051 Kinnmark, Ingemar P. E.; Gray, William G. 12 1984 One step integration methods with maximum stability regions. Zbl 0539.65050 Kinnmark, Ingemar P. E.; Gray, William G. 9 1984 An improved isoparametric transformation for finite element analysis. Zbl 0537.73061 Celia, Michael A.; Gray, William G. 7 1984 A two-dimensional analysis of the wave equation model for finite element tidal computations. Zbl 0562.76020 Kinnmark, Ingemar P. E.; Gray, William G. 3 1984 On normal flow boundary conditions in finite element codes for two- dimensional shallow water flow. Zbl 0541.76021 Gray, William G. 1 1984 Local volume averaging of multiphase systems using a non-constant averaging volume. Zbl 0545.76113 Gray, William G. 2 1983 Finite element simulation of flow in deforming regions. Zbl 0433.76018 Lynch, Daniel R.; Gray, William G. 19 1980 A wave equation model for finite element tidal computations. Zbl 0421.76013 Lynch, Daniel R.; Gray, William G. 43 1979 Economical alternatives to Gaussian quadrature over isoparametric quadrilaterals. Zbl 0388.65008 Gray, William G.; van Genuchten, Martinus Th. 6 1978 On the control of noise in finite element tidal computations: A semi- implicit approach. Zbl 0393.76048 Gray, William G.; Lynch, Daniel R. 6 1978 Finite elements in water resources. Proceedings of the second international conference in water resources held at Imperial College, London, in July, 1978. Zbl 0389.76001 2 1978 On the theorems for local volume averaging of multiphase systems. Zbl 0375.76081 Gray, W. G.; Lee, P. C. Y. 16 1977 An efficient finite element scheme for two-dimensional surface water computation. Zbl 0382.76012 Gray, William G. 5 1977 Finite elements in water resources. Proceedings of the 1st international conference on finite elements in water resources, held at Princeton University, U.S.A., in July, 1976. Zbl 0342.00022 1 1977 On the relationship between the finite element and finite difference methods. Zbl 0325.65050 Gray, William G.; Pinder, George F. 4 1976 all cited Publications top 5 cited Publications all top 5 Cited by 397 Authors 23 Schrefler, Bernhard A. 16 Dawson, Clint N. 11 Gray, William G. 10 Gawin, Dariusz 10 Westerink, Joannes J. 8 Pesavento, Francesco 6 Kubatko, Ethan J. 5 Le Roux, Daniel Y. 4 Borja, Ronaldo I. 4 Hagen, Scott C. 4 Lynch, Daniel R. 3 Bunya, Shintaro 3 Cushman, John H. 3 de Lemos, Marcelo J. S. 3 Ghidaoui, Mohamed S. 3 Hanert, Emmanuel 3 Kolar, Randall L. 3 Proft, Jennifer 3 Sciumè, Giuseppe 3 Vuong, Anh-Tu 3 Wall, Wolfgang A. 3 Walters, Roy A. 2 Alam, Meraj 2 Behr, Marek A. 2 Blain, Cheryl A. 2 Boso, Daniela P. 2 Buscarnera, Giuseppe 2 Butler, Troy D. 2 Chippada, S. 2 Christara, Christina C. 2 Davit, Yohan 2 Dey, Bibaswan 2 Domínguez-Mota, Francisco Javier 2 Estep, Donald J. 2 Farthing, Matthew W. 2 Ferrari, Mauro 2 Glowinski, Roland 2 Gottlieb, Sigal 2 Grant, Zachary J. 2 Horstmann, Olaf 2 Kinnmark, Ingemar P. E. 2 La Rocca, Michele 2 Liang, Jun Hong 2 Luettich, Richard A. jun. 2 Mascheroni, Pietro 2 Montessori, Andrea 2 Ng, Kit Sun 2 Nova, Roberto 2 Pan, Tsorng-Whay 2 Peraire, Jaime 2 Prestininzi, Pietro 2 Quintard, Michel 2 Rao, A. D. 2 Rathod, H. T. 2 Rizwan-uddin 2 Rostand, Virgile 2 Sanavia, Lorenzo 2 Scovazzi, Guglielmo 2 Sekhar, G. P. Raja 2 Teruel, Federico E. 2 Tinoco-Guerrero, Gerardo 2 Tinoco-Ruiz, José Gerardo 2 Valseth, Eirik 2 Wheeler, Mary Fanett 2 Wisniewski, Krzysztof 2 Yang, Chingyu 2 Yoshihara, Lena 2 Zhao, Yang 1 Abati, A. 1 Achanta, S. 1 Ager, C. 1 Airey, David W. 1 Ait-Haddou, Rachid 1 Akrivis, Georgios D. 1 Alcoverro, J. 1 Alessi, Roberto 1 Alexiou, Terpsichori S. 1 Aliabadi, Shahrouz 1 Allen, David H. 1 Andou, Tomoaki 1 Apelian, Diran 1 Araújo, Maria Amélia V. C. 1 Armenta, Sanzon Mendoza 1 Armero, Francisco 1 Armstrong, Ryan T. 1 Ayyad, Mahmoud 1 Baker, Allen J. 1 Bar-Yoseph, Pinhas Z. 1 Barragy, E. J. 1 Bary, Benoît 1 Bedford, Anthony 1 Bellet, Michel 1 Bellotti, G. 1 Benmansour, N. 1 Bennett, Robert J. 1 Benson, Sally M. 1 Berger, R. C. 1 Beylich, Alfred E. 1 Bhaumik, Swagata 1 Bostanabad, Ramin ...and 297 more Authors all top 5 Cited in 51 Serials 44 Computer Methods in Applied Mechanics and Engineering 18 International Journal for Numerical Methods in Fluids 13 Journal of Computational Physics 9 International Journal of Heat and Mass Transfer 8 Computers and Fluids 7 International Journal of Engineering Science 7 Journal of the Mechanics and Physics of Solids 7 Journal of Scientific Computing 6 Journal of Fluid Mechanics 6 International Journal for Numerical Methods in Engineering 6 Mathematics and Computers in Simulation 6 Computational Mechanics 5 International Journal for Numerical and Analytical Methods in Geomechanics 5 International Journal of Computational Fluid Dynamics 4 Applied Mathematical Modelling 4 Communications in Numerical Methods in Engineering 4 Archives of Computational Methods in Engineering 3 International Journal of Solids and Structures 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 2 Acta Mechanica 2 Computers & Mathematics with Applications 2 Applied Mathematics and Computation 2 BIT 2 Computing 2 Applied Mathematics and Mechanics. (English Edition) 2 Mathematics and Mechanics of Solids 2 European Journal of Mechanics. A. Solids 2 Computational Geosciences 2 Engineering Computations 1 Archive for Rational Mechanics and Analysis 1 International Journal of Systems Science 1 Journal of Mathematical Biology 1 Physics of Fluids, A 1 Chaos, Solitons and Fractals 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Mechanics Research Communications 1 Acta Applicandae Mathematicae 1 Mathematical and Computer Modelling 1 International Journal of Foundations of Computer Science 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Physics of Fluids 1 Computational and Applied Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Stochastic Environmental Research and Risk Assessment 1 International Journal of Modern Physics C 1 Theoretical and Applied Mechanics 1 Journal of Theoretical Biology all top 5 Cited in 16 Fields 139 Fluid mechanics (76-XX) 70 Numerical analysis (65-XX) 64 Mechanics of deformable solids (74-XX) 35 Geophysics (86-XX) 30 Partial differential equations (35-XX) 14 Biology and other natural sciences (92-XX) 12 Classical thermodynamics, heat transfer (80-XX) 8 Ordinary differential equations (34-XX) 4 Statistics (62-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year