Donald E. Burton

Publication Activity (10 Years)

Years Active: 2006-2022
Publications (10 Years): 7

Top Topics

Numerical Methods

Delaunay Triangulation

Top Venues

J. Comput. Phys.

Comput. Math. Appl.

J. Comput. Appl. Math.

Publications

Xiaodong Liu, Nathaniel R. Morgan, Evan J. Lieberman, Donald E. Burton
A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids. J. Comput. Appl. Math. 404 (2022)
Xiaodong Liu, Nathaniel R. Morgan, Evan J. Lieberman, Donald E. Burton
A discontinuous Galerkin method based on a hierarchical orthogonal basis for Lagrangian hydrodynamics on curvilinear grids. CoRR (2021)
Xiaodong Liu, Nathaniel R. Morgan, Donald E. Burton
A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme. J. Comput. Phys. 386 (2019)
Evan J. Lieberman, Nathaniel R. Morgan, Darby J. Luscher, Donald E. Burton
A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for elastic-plastic flows. Comput. Math. Appl. 78 (2) (2019)
Xiaodong Liu, Nathaniel R. Morgan, Donald E. Burton
Lagrangian discontinuous Galerkin hydrodynamic methods in axisymmetric coordinates. J. Comput. Phys. 373 (2018)
Nathaniel R. Morgan, Xiaodong Liu, Donald E. Burton
Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods. J. Comput. Phys. 372 (2018)
Donald E. Burton, Nathaniel R. Morgan, Marc R. Charest, Mark A. Kenamond, J. Fung
Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme. J. Comput. Phys. 355 (2018)
Donald E. Burton, Nathaniel R. Morgan, Theodore C. Carney, Mark A. Kenamond
Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR). J. Comput. Phys. 299 (2015)
Nathaniel R. Morgan, Jacob I. Waltz, Donald E. Burton, Marc R. Charest, Thomas R. Canfield, John G. Wohlbier
A Godunov-like point-centered essentially Lagrangian hydrodynamic approach. J. Comput. Phys. 281 (2015)
Nathaniel R. Morgan, Jacob I. Waltz, Donald E. Burton, Marc R. Charest, Thomas R. Canfield, John G. Wohlbier
A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes. J. Comput. Phys. 290 (2015)
Nathaniel R. Morgan, Konstantin Lipnikov, Donald E. Burton, Mark A. Kenamond
A Lagrangian staggered grid Godunov-like approach for hydrodynamics. J. Comput. Phys. 259 (2014)
Nathaniel R. Morgan, Mark A. Kenamond, Donald E. Burton, Theodore C. Carney, Daniel Ingraham
An approach for treating contact surfaces in Lagrangian cell-centered hydrodynamics. J. Comput. Phys. 250 (2013)
Shiv Kumar Sambasivan, Mikhail J. Shashkov, Donald E. Burton
A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries. J. Comput. Phys. 237 (2013)
Andrew Barlow, Donald E. Burton, Mikhail J. Shashkov
Compatible, energy and symmetry preserving 2D lagrangian hydrodynamics in rz - cylindrical coordinates. ICCS (1) (2010)
Amy L. Bauer, Donald E. Burton, E. J. Caramana, Raphaël Loubère, Mikhail J. Shashkov, P. P. Whalen
The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics. J. Comput. Phys. 218 (2) (2006)