The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics. - Amy L. Bauer; Donald E. Burton; E. J. Caramana; Raphaël Loubère; Mikhail J. Shashkov; P. P. Whalen (J. Comput. Phys., 2006)

Compatible, energy and symmetry preserving 2D lagrangian hydrodynamics in rz - cylindrical coordinates. - Andrew Barlow; Donald E. Burton; Mikhail J. Shashkov (ICCS, 2010)

An approach for treating contact surfaces in Lagrangian cell-centered hydrodynamics. - Nathaniel R. Morgan; Mark A. Kenamond; Donald E. Burton; Theodore C. Carney; Daniel Ingraham (J. Comput. Phys., 2013)

A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries. - Shiv Kumar Sambasivan; Mikhail J. Shashkov; Donald E. Burton (J. Comput. Phys., 2013)

A Lagrangian staggered grid Godunov-like approach for hydrodynamics. - Nathaniel R. Morgan; Konstantin Lipnikov; Donald E. Burton; Mark A. Kenamond (J. Comput. Phys., 2014)

Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR). - Donald E. Burton; Nathaniel R. Morgan; Theodore C. Carney; Mark A. Kenamond (J. Comput. Phys., 2015)

A Godunov-like point-centered essentially Lagrangian hydrodynamic approach. - Nathaniel R. Morgan; Jacob I. Waltz; Donald E. Burton; Marc R. Charest; Thomas R. Canfield; John G. Wohlbier (J. Comput. Phys., 2015)

A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes. - Nathaniel R. Morgan; Jacob I. Waltz; Donald E. Burton; Marc R. Charest; Thomas R. Canfield; John G. Wohlbier (J. Comput. Phys., 2015)

Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme. - Donald E. Burton; Nathaniel R. Morgan; Marc R. Charest; Mark A. Kenamond; J. Fung (J. Comput. Phys., 2018)

Lagrangian discontinuous Galerkin hydrodynamic methods in axisymmetric coordinates. - Xiaodong Liu 009; Nathaniel R. Morgan; Donald E. Burton (J. Comput. Phys., 2018)

Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods. - Nathaniel R. Morgan; Xiaodong Liu 009; Donald E. Burton (J. Comput. Phys., 2018)

A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for elastic-plastic flows. - Evan J. Lieberman; Nathaniel R. Morgan; Darby J. Luscher; Donald E. Burton (Comput. Math. Appl., 2019)

A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme. - Xiaodong Liu 009; Nathaniel R. Morgan; Donald E. Burton (J. Comput. Phys., 2019)

A discontinuous Galerkin method based on a hierarchical orthogonal basis for Lagrangian hydrodynamics on curvilinear grids. - Xiaodong Liu 009; Nathaniel R. Morgan; Evan J. Lieberman; Donald E. Burton (CoRR, 2021)

A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids. - Xiaodong Liu 009; Nathaniel R. Morgan; Evan J. Lieberman; Donald E. Burton (J. Comput. Appl. Math., 2022)