FEMSTER: An object-oriented class library of high-order discrete differential forms. - Paul Castillo 001; Robert N. Rieben; Daniel A. White (ACM Trans. Math. Softw., 2005)

An arbitrary Lagrangian-Eulerian discretization of MHD on 3D unstructured grids. - Robert N. Rieben; Daniel A. White; Brad K. Wallin; Jerome Solberg (J. Comput. Phys., 2007)

A tensor artificial viscosity using a finite element approach. - Tzanio V. Kolev; Robert N. Rieben (J. Comput. Phys., 2009)

Poster: Acceleration of the BLAST Hydro Code on GPU. - Tingxing Dong; Tzanio V. Kolev; Robert N. Rieben; Veselin Dobrev (SC Companion, 2012)

High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics. - Veselin Dobrev; Tzanio V. Kolev; Robert N. Rieben (SIAM J. Sci. Comput., 2012)

A Step towards Energy Efficient Computing: Redesigning a Hydrodynamic Application on CPU-GPU. - Tingxing Dong; Veselin Dobrev; Tzanio V. Kolev; Robert N. Rieben; Stanimire Tomov; Jack J. Dongarra (IPDPS, 2014)

High order curvilinear finite elements for elastic-plastic Lagrangian dynamics. - Veselin Dobrev; Tzanio V. Kolev; Robert N. Rieben (J. Comput. Phys., 2014)

Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows. - Andrew Barlow; Pierre-Henri Maire; William J. Rider; Robert N. Rieben; Mikhail J. Shashkov (J. Comput. Phys., 2016)

High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation. - Robert W. Anderson; Veselin Dobrev; Tzanio V. Kolev; Dmitri Kuzmin; Manuel Quezada de Luna; Robert N. Rieben; Vladimir Z. Tomov (J. Comput. Phys., 2017)

Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations. - Veselin Dobrev; Tzanio V. Kolev; Dmitri Kuzmin; Robert N. Rieben; Vladimir Z. Tomov (J. Comput. Phys., 2018)

High-Order Multi-Material ALE Hydrodynamics. - Robert W. Anderson; Veselin A. Dobrev; Tzanio V. Kolev; Robert N. Rieben; Vladimir Z. Tomov (SIAM J. Sci. Comput., 2018)

Simulation-Driven Optimization of High-Order Meshes in ALE Hydrodynamics. - Veselin Dobrev; Patrick Knupp; Tzanio V. Kolev; Ketan Mittal; Robert N. Rieben; Vladimir Z. Tomov (CoRR, 2020)

GPU algorithms for Efficient Exascale Discretizations. - Ahmad Abdelfattah; Valeria Barra; Natalie Beams; Ryan Bleile; Jed Brown; Jean-Sylvain Camier; Robert Carson; Noel Chalmers; Veselin Dobrev; Yohann Dudouit; Paul F. Fischer; Ali Karakus; et al. (Parallel Comput., 2021)

Understanding Power and Energy Utilization in Large Scale Production Physics Simulation Codes. - Brian S. Ryujin; Arturo Vargas; Ian Karlin; Shawn A. Dawson; Kenneth Weiss 001; Adam Bertsch; Michael Scott McKinley; Michael R. Collette; Simon D. Hammond; Kevin T. Pedretti; Robert N. Rieben (CoRR, 2022)

Matrix-free approaches for GPU acceleration of a high-order finite element hydrodynamics application using MFEM, Umpire, and RAJA. - Arturo Vargas; Thomas M. Stitt; Kenneth Weiss 001; Vladimir Z. Tomov; Jean-Sylvain Camier; Tzanio V. Kolev; Robert N. Rieben (Int. J. High Perform. Comput. Appl., 2022)

Accelerating high-order mesh optimization using finite element partial assembly on GPUs. - Jean-Sylvain Camier; Veselin Dobrev; Patrick Knupp; Tzanio V. Kolev; Ketan Mittal; Robert N. Rieben; Vladimir Z. Tomov (J. Comput. Phys., 2023)

Machine Learning Visualization Tool for Exploring Parameterized Hydrodynamics. - Charles F. Jekel; Dane M. Sterbentz; Thomas M. Stitt; P. Mocz; Robert N. Rieben; Daniel A. White; Jonathan L. Belof (CoRR, 2024)

Differentiable Lagrangian Shock Hydrodynamics with Application to Stable Shock Acceleration of Density Interfaces. - Kevin Körner; Brandon Talamini; Julian Andrej; Michael Tupek; Bill Moses; Robert N. Rieben; Tzanio V. Kolev; Jamie A. Bramwell; Daniel A. White; Jon Belof; William Schill (CoRR, 2025)