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Edwards, Michael G.

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Author ID: edwards.michael-g Recent zbMATH articles by "Edwards, Michael G."
Published as: Edwards, Michael G.; Edwards, M. G.
External Links: ORCID
Documents Indexed: 48 Publications since 1988
Co-Authors: 18 Co-Authors with 33 Joint Publications
320 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 616 times in 257 Documents Cited by Year
Finite volume discretization with imposed flux continuity for the general tensor pressure equation. Zbl 0945.76049
Edwards, Michael G.; Rogers, Clive F.
99
1998
Unstructured, control-volume distributed, full-tensor finite volume schemes with flow based grids. Zbl 1036.76034
Edwards, Michael G.
57
2002
Control-volume distributed multi-point flux approximation coupled with a lower-dimensional fracture model. Zbl 1351.74073
Ahmed, R.; Edwards, M. G.; Lamine, S.; Huisman, B. A. H.; Pal, M.
38
2015
Symmetric positive definite flux-continuous full-tensor finite-volume schemes on unstructured cell-centered triangular grids. Zbl 1190.65163
Friis, Helmer André; Edwards, Michael G.; Mykkeltveit, Johannes
31
2008
Double-families of quasi-positive Darcy-flux approximations with highly anisotropic tensors on structured and unstructured grids. Zbl 1253.76091
Edwards, Michael G.; Zheng, Hongwen
30
2010
A quasi-positive family of continuous Darcy-flux finite-volume schemes with full pressure support. Zbl 1231.76178
Edwards, Michael G.; Zheng, Hongwen
29
2008
A family of MPFA finite-volume schemes with full pressure support for the general tensor pressure equation on cell-centered triangular grids. Zbl 1427.76161
Friis, Helmer A.; Edwards, Michael G.
24
2011
M-matrix flux splitting for general full tensor discretization operators on structured and unstructured grids. Zbl 0983.76055
Edwards, Michael G.
22
2000
Convergence study of a family of flux-continuous, finite volume schemes for the general tensor pressure equation. Zbl 1108.76046
Pal, Mayur; Edwards, Michael G.; Lamb, Anthony R.
22
2006
Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 2-D. Zbl 1158.76363
Edwards, Michael G.
21
2006
A higher-order Godunov scheme coupled with dynamic local grid refinement for flow in a porous medium. Zbl 0888.76052
Edwards, Michael G.
19
1996
Quasi M-matrix multifamily continuous Darcy-flux approximations with full pressure support on structured and unstructured grids in three dimensions. Zbl 1368.74070
Edwards, Michael G.; Zheng, Hongwen
17
2011
Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 3-D. Zbl 1158.76364
Edwards, Michael G.
17
2006
Positive-definite \(q\)-families of continuous subcell Darcy-flux CVD(MPFA) finite-volume schemes and the mixed finite element method. Zbl 1236.76035
Edwards, Michael G.; Pal, Mayur
16
2008
Elimination of adaptive grid interface errors in the discrete cell centered pressure equation. Zbl 0858.76062
Edwards, Michael G.
15
1996
Use of border regions for improved permeability upscaling. Zbl 1034.86004
Wen, X. H.; Durlofsky, L. J.; Edwards, M. G.
14
2003
Three-dimensional control-volume distributed multi-point flux approximation coupled with a lower-dimensional surface fracture model. Zbl 1349.74343
Ahmed, Raheel; Edwards, Michael G.; Lamine, Sadok; Huisman, Bastiaan A. H.; Pal, Mayur
13
2015
Higher-resolution convection schemes for flow in porous media on highly distorted unstructured grids. Zbl 1195.76266
Lamine, Sadok; Edwards, Michael G.
13
2008
Cross flow tensors and finite volume approximation with by deferred correction. Zbl 0920.76068
Edwards, Michael G.
11
1998
Quasi-positive families of continuous Darcy-flux finite volume schemes on structured and unstructured grids. Zbl 1402.76078
Edwards, Michael G.; Zheng, Hongwen
10
2010
A family of multi-point flux approximation schemes for general element types in two and three dimensions with convergence performance. Zbl 1253.76125
Pal, Mayur; Edwards, Michael G.
10
2012
Higher order multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids. Zbl 1217.35010
Lamine, Sadok; Edwards, Michael G.
9
2010
Multiscale finite-volume CVD-MPFA formulations on structured and unstructured grids. Zbl 1381.76224
Parramore, Elliot; Edwards, Michael G.; Pal, Mayur; Lamine, Sadok
9
2016
q-families of CVD(MPFA) schemes on general elements: numerical convergence and the maximum principle. Zbl 1269.76075
Pal, Mayur; Edwards, Michael G.
6
2010
Multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids. Zbl 1402.76081
Lamine, Sadok; Edwards, Michael G.
5
2010
Global and local central non-upwind finite volume schemes for hyperbolic conservation laws in porous media. Zbl 1426.76357
Edwards, Michael G.
5
2010
Diameter of paired domination edge-critical graphs. Zbl 1169.05032
Edwards, M.; Gibson, R. G.; Henning, M. A.; Mynhardt, C. M.
5
2008
CVD-MPFA full pressure support, coupled unstructured discrete fracture-matrix Darcy-flux approximations. Zbl 1380.76092
Ahmed, Raheel; Edwards, Michael G.; Lamine, Sadok; Huisman, Bastiaan A. H.; Pal, Mayur
5
2017
Multidimensional upwind schemes and higher resolution methods for three-component two-phase systems including gravity driven flow in porous media on unstructured grids. Zbl 1423.76301
Lamine, Sadok; Edwards, Michael G.
4
2015
An \(h\)-\(r\)-adaptive approximate Riemann solver for the Euler equations in two dimensions. Zbl 0770.76042
Edwards, Michael G.; Oden, J. Tinsley; Demkowicz, Leszek
4
1993
Continuous elliptic and multi-dimensional hyperbolic Darcy-flux finite-volume methods. Zbl 1272.76177
Edwards, Michael G.; Zheng, Hongwen; Lamine, Sadok; Pal, Mayur
4
2011
Non-linear flux-splitting schemes with imposed discrete maximum principle for elliptic equations with highly anisotropic coefficients. Zbl 1301.86002
Pal, Mayur; Edwards, Michael G.
4
2011
No coreset, no cry. II. Zbl 1172.68638
Edwards, Michael; Varadarajan, Kasturi
4
2005
The dominant wave-capturing flux: A finite-volume scheme without decomposition for systems of hyperbolic conservation laws. Zbl 1103.65093
Edwards, Michael G.
4
2006
Interior boundary-aligned unstructured grid generation and cell-centered versus vertex-centered CVD-MPFA performance. Zbl 1405.65160
Manzoor, Shahid; Edwards, Michael G.; Dogru, Ali H.; Al-Shaalan, Tareq M.
3
2018
Multigrid and renormalization for reservoir simulation. Zbl 0809.76061
Edwards, Michael G.; Rogers, Clive F.
3
1994
Multi-dimensional wave-oriented upwind schemes with reduced cross-wind diffusion for flow in porous media. Zbl 1303.76122
Edwards, Michael G.
3
2011
Higher order cell-based multidimensional upwind schemes for flow in porous media on unstructured grids. Zbl 1286.76149
Lamine, Sadok; Edwards, Michael G.
3
2013
Anisotropy favoring triangulation CVD(MPFA) finite volume approximations. Zbl 1427.76164
Pal, Mayur; Edwards, Michael G.
2
2011
Higher resolution total velocity \(Vt\) and \(Va\) finite-volume formulations on cell-centred structured and unstructured grids. Zbl 1396.76064
Xie, Ya-wei; Edwards, Michael G.
2
2017
The mobile element method for systems of conservation laws. Zbl 0684.76088
Edwards, M. G.
2
1988
A dynamically adaptive Godunov scheme for reservoir simulation on large aspect ratio grids. Zbl 0801.76052
Edwards, Michael G.
1
1993
Numerical calculation of equivalent cell permeability tensors for general quadrilateral control volumes. Zbl 1035.86001
He, Chuanping; Edwards, Michael G.; Durlofsky, Louis J.
1
2002
Interior boundary-aligned unstructured grid generation and cell-centered versus vertex-centered CVD-MPFA performance. Zbl 1405.65160
Manzoor, Shahid; Edwards, Michael G.; Dogru, Ali H.; Al-Shaalan, Tareq M.
3
2018
CVD-MPFA full pressure support, coupled unstructured discrete fracture-matrix Darcy-flux approximations. Zbl 1380.76092
Ahmed, Raheel; Edwards, Michael G.; Lamine, Sadok; Huisman, Bastiaan A. H.; Pal, Mayur
5
2017
Higher resolution total velocity \(Vt\) and \(Va\) finite-volume formulations on cell-centred structured and unstructured grids. Zbl 1396.76064
Xie, Ya-wei; Edwards, Michael G.
2
2017
Multiscale finite-volume CVD-MPFA formulations on structured and unstructured grids. Zbl 1381.76224
Parramore, Elliot; Edwards, Michael G.; Pal, Mayur; Lamine, Sadok
9
2016
Control-volume distributed multi-point flux approximation coupled with a lower-dimensional fracture model. Zbl 1351.74073
Ahmed, R.; Edwards, M. G.; Lamine, S.; Huisman, B. A. H.; Pal, M.
38
2015
Three-dimensional control-volume distributed multi-point flux approximation coupled with a lower-dimensional surface fracture model. Zbl 1349.74343
Ahmed, Raheel; Edwards, Michael G.; Lamine, Sadok; Huisman, Bastiaan A. H.; Pal, Mayur
13
2015
Multidimensional upwind schemes and higher resolution methods for three-component two-phase systems including gravity driven flow in porous media on unstructured grids. Zbl 1423.76301
Lamine, Sadok; Edwards, Michael G.
4
2015
Higher order cell-based multidimensional upwind schemes for flow in porous media on unstructured grids. Zbl 1286.76149
Lamine, Sadok; Edwards, Michael G.
3
2013
A family of multi-point flux approximation schemes for general element types in two and three dimensions with convergence performance. Zbl 1253.76125
Pal, Mayur; Edwards, Michael G.
10
2012
A family of MPFA finite-volume schemes with full pressure support for the general tensor pressure equation on cell-centered triangular grids. Zbl 1427.76161
Friis, Helmer A.; Edwards, Michael G.
24
2011
Quasi M-matrix multifamily continuous Darcy-flux approximations with full pressure support on structured and unstructured grids in three dimensions. Zbl 1368.74070
Edwards, Michael G.; Zheng, Hongwen
17
2011
Continuous elliptic and multi-dimensional hyperbolic Darcy-flux finite-volume methods. Zbl 1272.76177
Edwards, Michael G.; Zheng, Hongwen; Lamine, Sadok; Pal, Mayur
4
2011
Non-linear flux-splitting schemes with imposed discrete maximum principle for elliptic equations with highly anisotropic coefficients. Zbl 1301.86002
Pal, Mayur; Edwards, Michael G.
4
2011
Multi-dimensional wave-oriented upwind schemes with reduced cross-wind diffusion for flow in porous media. Zbl 1303.76122
Edwards, Michael G.
3
2011
Anisotropy favoring triangulation CVD(MPFA) finite volume approximations. Zbl 1427.76164
Pal, Mayur; Edwards, Michael G.
2
2011
Double-families of quasi-positive Darcy-flux approximations with highly anisotropic tensors on structured and unstructured grids. Zbl 1253.76091
Edwards, Michael G.; Zheng, Hongwen
30
2010
Quasi-positive families of continuous Darcy-flux finite volume schemes on structured and unstructured grids. Zbl 1402.76078
Edwards, Michael G.; Zheng, Hongwen
10
2010
Higher order multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids. Zbl 1217.35010
Lamine, Sadok; Edwards, Michael G.
9
2010
q-families of CVD(MPFA) schemes on general elements: numerical convergence and the maximum principle. Zbl 1269.76075
Pal, Mayur; Edwards, Michael G.
6
2010
Multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids. Zbl 1402.76081
Lamine, Sadok; Edwards, Michael G.
5
2010
Global and local central non-upwind finite volume schemes for hyperbolic conservation laws in porous media. Zbl 1426.76357
Edwards, Michael G.
5
2010
Symmetric positive definite flux-continuous full-tensor finite-volume schemes on unstructured cell-centered triangular grids. Zbl 1190.65163
Friis, Helmer André; Edwards, Michael G.; Mykkeltveit, Johannes
31
2008
A quasi-positive family of continuous Darcy-flux finite-volume schemes with full pressure support. Zbl 1231.76178
Edwards, Michael G.; Zheng, Hongwen
29
2008
Positive-definite \(q\)-families of continuous subcell Darcy-flux CVD(MPFA) finite-volume schemes and the mixed finite element method. Zbl 1236.76035
Edwards, Michael G.; Pal, Mayur
16
2008
Higher-resolution convection schemes for flow in porous media on highly distorted unstructured grids. Zbl 1195.76266
Lamine, Sadok; Edwards, Michael G.
13
2008
Diameter of paired domination edge-critical graphs. Zbl 1169.05032
Edwards, M.; Gibson, R. G.; Henning, M. A.; Mynhardt, C. M.
5
2008
Convergence study of a family of flux-continuous, finite volume schemes for the general tensor pressure equation. Zbl 1108.76046
Pal, Mayur; Edwards, Michael G.; Lamb, Anthony R.
22
2006
Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 2-D. Zbl 1158.76363
Edwards, Michael G.
21
2006
Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 3-D. Zbl 1158.76364
Edwards, Michael G.
17
2006
The dominant wave-capturing flux: A finite-volume scheme without decomposition for systems of hyperbolic conservation laws. Zbl 1103.65093
Edwards, Michael G.
4
2006
No coreset, no cry. II. Zbl 1172.68638
Edwards, Michael; Varadarajan, Kasturi
4
2005
Use of border regions for improved permeability upscaling. Zbl 1034.86004
Wen, X. H.; Durlofsky, L. J.; Edwards, M. G.
14
2003
Unstructured, control-volume distributed, full-tensor finite volume schemes with flow based grids. Zbl 1036.76034
Edwards, Michael G.
57
2002
Numerical calculation of equivalent cell permeability tensors for general quadrilateral control volumes. Zbl 1035.86001
He, Chuanping; Edwards, Michael G.; Durlofsky, Louis J.
1
2002
M-matrix flux splitting for general full tensor discretization operators on structured and unstructured grids. Zbl 0983.76055
Edwards, Michael G.
22
2000
Finite volume discretization with imposed flux continuity for the general tensor pressure equation. Zbl 0945.76049
Edwards, Michael G.; Rogers, Clive F.
99
1998
Cross flow tensors and finite volume approximation with by deferred correction. Zbl 0920.76068
Edwards, Michael G.
11
1998
A higher-order Godunov scheme coupled with dynamic local grid refinement for flow in a porous medium. Zbl 0888.76052
Edwards, Michael G.
19
1996
Elimination of adaptive grid interface errors in the discrete cell centered pressure equation. Zbl 0858.76062
Edwards, Michael G.
15
1996
Multigrid and renormalization for reservoir simulation. Zbl 0809.76061
Edwards, Michael G.; Rogers, Clive F.
3
1994
An \(h\)-\(r\)-adaptive approximate Riemann solver for the Euler equations in two dimensions. Zbl 0770.76042
Edwards, Michael G.; Oden, J. Tinsley; Demkowicz, Leszek
4
1993
A dynamically adaptive Godunov scheme for reservoir simulation on large aspect ratio grids. Zbl 0801.76052
Edwards, Michael G.
1
1993
The mobile element method for systems of conservation laws. Zbl 0684.76088
Edwards, M. G.
2
1988
all top 5

Cited by 444 Authors

27 Edwards, Michael G.
14 Masson, Roland
14 Yuan, Guangwei
11 Pal, Mayur
10 Helmig, Rainer
10 Nordbotten, Jan Martin
9 Hajibeygi, Hadi
9 Lamine, Sadok
8 Aavatsmark, Ivar
8 Brenner, Konstantin
7 Flemisch, Bernd
7 Sheng, Zhiqiang
7 Yotov, Ivan
6 Berrone, Stefano
6 Keilegavlen, Eirik
6 Lipnikov, Konstantin N.
6 Scialò, Stefano
6 Tchelepi, Hamdi A.
6 Wheeler, Mary Fanett
5 Borio, Andrea
5 Droniou, Jérôme
5 Eigestad, Geir Terje
5 Mallison, Bradley T.
5 Schneider, Martin
4 Arrarás, Andres
4 Cusini, Matteo
4 Gerritsen, Margot G.
4 Gläser, Dennis
4 Hennicker, Julian
4 Klausen, Runhild Aae
4 Lie, Knut-Andreas
4 Lyra, Paulo Roberto Maciel
4 Portero, Laura
4 Terekhov, Kirill M.
4 Vicini, Fabio
4 Wang, Yihong
4 Wu, Jiming
4 Younes, Anis
4 Zheng, Hongwen
3 Abushaikha, Ahmad S.
3 Agelas, Leo
3 Ahmed, Raheel
3 Ambartsumyan, Ilona
3 Chen, Shuangshuang
3 D’Auria, Alessandro
3 Di Pietro, Daniele Antonio
3 Durlofsky, Louis J.
3 Fumagalli, Alessio
3 Geiger, Sebastian
3 Hamon, François P.
3 Huisman, Bastiaan A. H.
3 Jackson, Matthew D.
3 Khattatov, Eldar
3 Lambers, James V.
3 Lopez, Simon
3 Manzari, Mehrdad T.
3 Mosharaf Dehkordi, Mehdi
3 Radu, Florin Adrian
3 Shashkov, Mikhail J.
3 Svyatsky, Daniil
3 Ţene, Matei
3 Trenty, Laurent
3 van Kruijsdijk, Cor
3 Vohralík, Martin
3 Wang, Shuai
3 Wohlmuth, Barbara I.
3 Yao, Yanzhong
2 Aghili, Joubine
2 Al Kobaisi, Mohammed Saad
2 Beaude, Laurence
2 Becker, Beatrix
2 Bosma, Sebastian B. M.
2 Breil, Jérôme
2 Cao, Yufei
2 Carvalho, Darlan K. E.
2 Chang, Lina
2 Chen, Yanping
2 Class, Holger
2 Contreras, Fernando R. L.
2 de Blank, Hugo J.
2 de Carvalho, Darlan Karlo Elisiário
2 Dechaumphai, Pramote
2 Dogru, Ali H.
2 Dong, Cheng
2 Eymard, Robert
2 Faigle, Benjamin
2 Fontaine, Vincent
2 Gao, Zhiming
2 Gaspar, Francisco José
2 Groza, Mayya
2 Guichard, Cindy
2 Hang, Xudeng
2 Hermeline, François
2 Hyman, Jeffrey D.
2 Kang, Tong
2 Koren, Barry
2 Lan, Bin
2 Maire, Pierre-Henri
2 Manzini, Gianmarco
2 Manzoor, Shahid
...and 344 more Authors
all top 5

Cited in 48 Serials

67 Journal of Computational Physics
45 Computational Geosciences
22 Computer Methods in Applied Mechanics and Engineering
16 International Journal for Numerical Methods in Fluids
10 Journal of Computational and Applied Mathematics
9 Numerische Mathematik
6 Computers and Fluids
6 Computers & Mathematics with Applications
6 Applied Mathematics and Computation
5 Journal of Scientific Computing
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 International Journal for Numerical Methods in Engineering
4 GEM - International Journal on Geomathematics
3 Mathematics and Computers in Simulation
3 Applied Numerical Mathematics
3 SIAM Journal on Scientific Computing
3 International Journal of Numerical Methods for Heat & Fluid Flow
2 Numerical Methods for Partial Differential Equations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Multiscale Modeling & Simulation
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Communications in Computational Physics
1 Journal of Engineering Mathematics
1 Journal of Mathematical Physics
1 Mathematics of Computation
1 ACM Transactions on Mathematical Software
1 BIT
1 SIAM Journal on Numerical Analysis
1 Applied Mathematics Letters
1 Japan Journal of Industrial and Applied Mathematics
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 Engineering Analysis with Boundary Elements
1 Mathematical Problems in Engineering
1 Computing and Visualization in Science
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Lobachevskii Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Matematicheskoe Modelirovanie
1 Archives of Computational Methods in Engineering
1 Foundations of Computational Mathematics
1 Advances in Difference Equations
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Applied Mathematics and Mechanics
1 International Journal for Numerical Methods in Biomedical Engineering
1 SIAM/ASA Journal on Uncertainty Quantification
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 International Journal on Finite Volumes

Citations by Year