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Author ID: burton.donald-e Recent zbMATH articles by "Burton, Donald E."
Published as: Burton, Donald E.; Burton, D. E.
External Links: ORCID · dblp
Documents Indexed: 23 Publications since 1992
Co-Authors: 17 Co-Authors with 19 Joint Publications
203 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 617 times in 245 Documents Cited by Year
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy. Zbl 0931.76080
Caramana, E. J.; Burton, D. E.; Shashkov, M. J.; Whalen, P. P.
177
1998
On an instance of the inverse shortest paths problem. Zbl 0756.90089
Burton, D.; Toint, Ph. L.
99
1992
A cell-centered Lagrangian Godunov-like method for solid dynamics. Zbl 1290.76095
Burton, D. E.; Carney, T. C.; Morgan, N. R.; Sambasivan, S. K.; Shashkov, M. J.
55
2013
On the use of an inverse shortest paths algorithm for recovering linearly correlated costs. Zbl 0795.90080
Burton, D.; Toint, Ph. L.
37
1994
A compatible, energy and symmetry preserving Lagrangian hydrodynamics algorithm in three-dimensional Cartesian geometry. Zbl 0961.76049
Caramana, E. J.; Rousculp, C. L.; Burton, D. E.
36
2000
A Lagrangian discontinuous Galerkin hydrodynamic method. Zbl 1390.76477
Liu, Xiaodong; Morgan, Nathaniel R.; Burton, Donald E.
24
2018
A Lagrangian staggered grid Godunov-like approach for hydrodynamics. Zbl 1349.76365
Morgan, Nathaniel R.; Lipnikov, Konstantin N.; Burton, Donald E.; Kenamond, Mark A.
24
2014
Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR). Zbl 1351.76099
Burton, D. E.; Morgan, N. R.; Carney, T. C.; Kenamond, M. A.
22
2015
Exploration of new limiter schemes for stress tensors in Lagrangian and ALE hydrocodes. Zbl 1290.76107
Sambasivan, Shiv Kumar; Shashkov, Mikhail J.; Burton, Donald E.
21
2013
The inverse shortest paths problem with upper bounds on shortest paths costs. Zbl 0878.90098
Burton, D.; Pulleyblank, W. R.; Toint, Ph. L.
19
1997
The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics. Zbl 1161.76538
Bauer, A. L.; Burton, D. E.; Caramana, E. J.; Loubère, R.; Shashkov, M. J.; Whalen, P. P.
17
2006
A Godunov-like point-centered essentially Lagrangian hydrodynamic approach. Zbl 1351.76071
Morgan, Nathaniel R.; Waltz, Jacob I.; Burton, Donald E.; Charest, Marc R.; Canfield, Thomas R.; Wohlbier, John G.
15
2015
Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme. Zbl 1380.76051
Burton, D. E.; Morgan, N. R.; Charest, M. R. J.; Kenamond, M. A.; Fung, J.
13
2018
A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes. Zbl 1349.76242
Morgan, Nathaniel R.; Waltz, Jacob I.; Burton, Donald E.; Charest, Marc R.; Canfield, Thomas R.; Wohlbier, John G.
11
2015
Lagrangian discontinuous Galerkin hydrodynamic methods in axisymmetric coordinates. Zbl 1416.65354
Liu, Xiaodong; Morgan, Nathaniel R.; Burton, Donald E.
10
2018
A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries. Zbl 1286.74113
Kumar Sambasivan, Shiv; Shashkov, Mikhail J.; Burton, Donald E.
10
2013
Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods. Zbl 1415.76475
Morgan, Nathaniel R.; Liu, Xiaodong; Burton, Donald E.
6
2018
A finite volume cell-centered Lagrangian hydrodynamics approach for solids in general unstructured grids. Zbl 1455.74019
Sambasivan, Shiv Kumar; Shashkov, Mikhail J.; Burton, Donald E.
6
2013
A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme. Zbl 1452.76123
Liu, Xiaodong; Morgan, Nathaniel R.; Burton, Donald E.
6
2019
A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for solid dynamics. Zbl 1441.74035
Lieberman, Evan J.; Liu, Xiaodong; Morgan, Nathaniel R.; Luscher, Darby J.; Burton, Donald E.
5
2019
A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for elastic-plastic flows. Zbl 1442.65267
Lieberman, Evan J.; Morgan, Nathaniel R.; Luscher, Darby J.; Burton, Donald E.
3
2019
The influence of background turbulence on Ahmed-body wake bistability. Zbl 07406432
Burton, D.; Wang, S.; Tudball Smith, D.; Scott, H. N.; Crouch, T. N.; Thompson, M. C.
1
2021
The influence of background turbulence on Ahmed-body wake bistability. Zbl 07406432
Burton, D.; Wang, S.; Tudball Smith, D.; Scott, H. N.; Crouch, T. N.; Thompson, M. C.
1
2021
A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme. Zbl 1452.76123
Liu, Xiaodong; Morgan, Nathaniel R.; Burton, Donald E.
6
2019
A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for solid dynamics. Zbl 1441.74035
Lieberman, Evan J.; Liu, Xiaodong; Morgan, Nathaniel R.; Luscher, Darby J.; Burton, Donald E.
5
2019
A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for elastic-plastic flows. Zbl 1442.65267
Lieberman, Evan J.; Morgan, Nathaniel R.; Luscher, Darby J.; Burton, Donald E.
3
2019
A Lagrangian discontinuous Galerkin hydrodynamic method. Zbl 1390.76477
Liu, Xiaodong; Morgan, Nathaniel R.; Burton, Donald E.
24
2018
Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme. Zbl 1380.76051
Burton, D. E.; Morgan, N. R.; Charest, M. R. J.; Kenamond, M. A.; Fung, J.
13
2018
Lagrangian discontinuous Galerkin hydrodynamic methods in axisymmetric coordinates. Zbl 1416.65354
Liu, Xiaodong; Morgan, Nathaniel R.; Burton, Donald E.
10
2018
Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods. Zbl 1415.76475
Morgan, Nathaniel R.; Liu, Xiaodong; Burton, Donald E.
6
2018
Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR). Zbl 1351.76099
Burton, D. E.; Morgan, N. R.; Carney, T. C.; Kenamond, M. A.
22
2015
A Godunov-like point-centered essentially Lagrangian hydrodynamic approach. Zbl 1351.76071
Morgan, Nathaniel R.; Waltz, Jacob I.; Burton, Donald E.; Charest, Marc R.; Canfield, Thomas R.; Wohlbier, John G.
15
2015
A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes. Zbl 1349.76242
Morgan, Nathaniel R.; Waltz, Jacob I.; Burton, Donald E.; Charest, Marc R.; Canfield, Thomas R.; Wohlbier, John G.
11
2015
A Lagrangian staggered grid Godunov-like approach for hydrodynamics. Zbl 1349.76365
Morgan, Nathaniel R.; Lipnikov, Konstantin N.; Burton, Donald E.; Kenamond, Mark A.
24
2014
A cell-centered Lagrangian Godunov-like method for solid dynamics. Zbl 1290.76095
Burton, D. E.; Carney, T. C.; Morgan, N. R.; Sambasivan, S. K.; Shashkov, M. J.
55
2013
Exploration of new limiter schemes for stress tensors in Lagrangian and ALE hydrocodes. Zbl 1290.76107
Sambasivan, Shiv Kumar; Shashkov, Mikhail J.; Burton, Donald E.
21
2013
A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries. Zbl 1286.74113
Kumar Sambasivan, Shiv; Shashkov, Mikhail J.; Burton, Donald E.
10
2013
A finite volume cell-centered Lagrangian hydrodynamics approach for solids in general unstructured grids. Zbl 1455.74019
Sambasivan, Shiv Kumar; Shashkov, Mikhail J.; Burton, Donald E.
6
2013
The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics. Zbl 1161.76538
Bauer, A. L.; Burton, D. E.; Caramana, E. J.; Loubère, R.; Shashkov, M. J.; Whalen, P. P.
17
2006
A compatible, energy and symmetry preserving Lagrangian hydrodynamics algorithm in three-dimensional Cartesian geometry. Zbl 0961.76049
Caramana, E. J.; Rousculp, C. L.; Burton, D. E.
36
2000
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy. Zbl 0931.76080
Caramana, E. J.; Burton, D. E.; Shashkov, M. J.; Whalen, P. P.
177
1998
The inverse shortest paths problem with upper bounds on shortest paths costs. Zbl 0878.90098
Burton, D.; Pulleyblank, W. R.; Toint, Ph. L.
19
1997
On the use of an inverse shortest paths algorithm for recovering linearly correlated costs. Zbl 0795.90080
Burton, D.; Toint, Ph. L.
37
1994
On an instance of the inverse shortest paths problem. Zbl 0756.90089
Burton, D.; Toint, Ph. L.
99
1992
all top 5

Cited by 280 Authors

33 Shashkov, Mikhail J.
23 Morgan, Nathaniel R.
19 Boscheri, Walter
19 Dumbser, Michael
19 Loubère, Raphaël
19 Maire, Pierre-Henri
15 Burton, Donald E.
10 Jia, Zupeng
10 Kuchařík, Milan
9 Caramana, Edward J.
8 Després, Bruno
8 Labourasse, Emmanuel
8 Shen, Zhijun
8 Shu, Chi-Wang
8 Waltz, Jacob I.
7 Cheng, Juan
7 Kolev, Tzanio V.
7 Rieben, Robert N.
7 Wendroff, Burton
6 Barlow, Andrew J.
6 Cheng, Junbo
6 Lipnikov, Konstantin N.
6 Rider, William J.
5 Abgrall, Rémi
5 Breil, Jérôme
5 Canfield, Thomas R.
5 Charest, Marc R. J.
5 Jiang, Song
5 Liska, Richard
5 Scovazzi, Guglielmo
5 Tian, Baolin
5 Váchal, Pavel
4 Del Pino, Stéphane
4 Dobrev, Veselin A.
4 Kenamond, Mack
4 Klima, Matej
4 Li, Xiao
4 Lieberman, Evan J.
4 Margolin, Len G.
4 Tomov, Vladimir Z.
4 Velechovsky, Jan
4 Wang, Pei
4 Wohlbier, John G.
4 Yu, Ming
4 Yu, Xijun
4 Zhang, Shudao
3 Balsara, Dinshaw S.
3 Braeunig, Jean-Philippe
3 Claisse, Alexandra
3 Fridrich, David
3 Garimella, Rao V.
3 Kenamond, Mark A.
3 Luscher, Darby J.
3 Owen, J. Michael
3 Peshkov, Ilya M.
3 Qian, Jianzhen
3 Qing, Fang
3 Veldman, Arthur Eduard Paul
3 Whalen, Paul P.
3 Yan, Wei
3 Yuan, Guangwei
3 Zhai, Jiayin
2 Castro, Manuel J.
2 Chiravalle, Vincent P.
2 Corot, Théo
2 Dai, Zihuan
2 Ellis, Truman E.
2 Francois, Marianne M.
2 Gaburro, Elena
2 Galera, Stéphane
2 Ge, Quanwen
2 Georges, Gabriel
2 Harrison, Alan K.
2 Hoch, Philippe
2 Lei, Nuo
2 Li, Jiequan
2 Li, Zhenzhen
2 Liu, Tiegang
2 Liu, Zhanli
2 Lohmann, Christoph
2 Luo, Hong
2 Miller, Douglas S.
2 Motte, Renaud
2 Ni, Guoxi
2 Ramis, Rafael
2 Rebourcet, Bernard
2 Ren, Jian
2 Romenskii, Evgenii I.
2 Semplice, Matteo
2 Starinshak, David P.
2 Sun, Zhiyuan
2 Therme, Nicolas
2 Tokareva, Svetlana A.
2 Toro, Eleuterio F.
2 Vilar, François
2 Xu, Xiao
2 Zanotti, Olindo
2 Zhang, Xiong
2 Zhao, Xiaolong
1 Absillis, Gianni
...and 180 more Authors

Citations by Year