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Author ID: gray.william-g Recent zbMATH articles by "Gray, William G."
Published as: Gray, William G.; Gray, W. G.; Gray, William G

Publications by Year

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 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

Citations by Year