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)

Towards Simulation-Driven Optimization of High-Order Meshes by the Target-Matrix Optimization Paradigm. - Veselin Dobrev; Patrick Knupp; Tzanio V. Kolev; Vladimir Z. Tomov (IMR, 2018)

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)

MFEM: a modular finite element methods library. - Robert W. Anderson; Julian Andrej; Andrew T. Barker; Jamie A. Bramwell; Jean-Sylvain Camier; Jakub Cervený; Veselin Dobrev; Yohann Dudouit; Aaron Fisher; Tzanio V. Kolev; Will Pazner; Mark Stowell; et al. (CoRR, 2019)

The Target-Matrix Optimization Paradigm for High-Order Meshes. - Veselin Dobrev; Patrick Knupp; Tzanio V. Kolev; Ketan Mittal; Vladimir Z. Tomov (SIAM J. Sci. Comput., 2019)

Algebraic Hybridization and Static Condensation with Application to Scalable H(div) Preconditioning. - Veselin Dobrev; Tzanio V. Kolev; Chak Shing Lee; Vladimir Z. Tomov; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2019)

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)

A quadratic programming flux correction method for high-order DG discretizations of SN transport. - Ben C. Yee; Samuel S. Olivier; Terry S. Haut; Milan Holec; Vladimir Z. Tomov; Peter G. Maginot (J. Comput. Phys., 2020)

Diffusion Synthetic Acceleration Preconditioning for Discontinuous Galerkin Discretizations of SN Transport on High-Order Curved Meshes. - Terry S. Haut; Ben S. Southworth; Peter G. Maginot; Vladimir Z. Tomov (SIAM J. Sci. Comput., 2020)

MFEM: A modular finite element methods library. - Robert W. Anderson; Julian Andrej; Andrew T. Barker; Jamie A. Bramwell; Jean-Sylvain Camier; Jakub Cervený; Veselin Dobrev; Yohann Dudouit; Aaron Fisher; Tzanio V. Kolev; Will Pazner; Mark Stowell; et al. (Comput. Math. Appl., 2021)

Adaptive Surface Fitting and Tangential Relaxation for High-Order Mesh Optimization. - Patrick Knupp; Tzanio V. Kolev; Ketan Mittal; Vladimir Z. Tomov (CoRR, 2021)

Efficient exascale discretizations: High-order finite element methods. - Tzanio V. Kolev; Paul F. Fischer; Misun Min; Jack J. Dongarra; Jed Brown; Veselin Dobrev; Tim Warburton; Stanimire Tomov; Mark S. Shephard; Ahmad Abdelfattah; Valeria Barra; Natalie Beams; et al. (Int. J. High Perform. Comput. Appl., 2021)

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)

Conservative High-Order Time Integration for Lagrangian Hydrodynamics. - Adrian Sandu; Vladimir Z. Tomov; Lenka Cervená; Tzanio V. Kolev (SIAM J. Sci. Comput., 2021)

Implicit High-Order Meshing using Boundary and Interface Fitting. - Jorge-Luis Barrera; Tzanio V. Kolev; Ketan Mittal; Vladimir Z. Tomov (CoRR, 2022)

hr-Adaptivity for nonconforming high-order meshes with the target matrix optimization paradigm. - Veselin Dobrev; Patrick Knupp; Tzanio V. Kolev; Ketan Mittal; Vladimir Z. Tomov (Eng. Comput., 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)

Reinforcement Learning for Adaptive Mesh Refinement. - Jiachen Yang; Tarik Dzanic; Brenden K. Petersen; Jun Kudo; Ketan Mittal; Vladimir Z. Tomov; Jean-Sylvain Camier; Tuo Zhao; Hongyuan Zha; Tzanio V. Kolev; Robert W. Anderson; Daniel M. Faissol (AISTATS, 2023)

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)

High-Order Mesh Morphing for Boundary and Interface Fitting to Implicit Geometries. - Jorge-Luis Barrera; Tzanio V. Kolev; Ketan Mittal; Vladimir Z. Tomov (Comput. Aided Des., 2023)

Mixed-Order Meshes through rp-adaptivity for Surface Fitting to Implicit Geometries. - Ketan Mittal; Veselin A. Dobrev; Patrick Knupp; Tzanio V. Kolev; Franck Ledoux; Claire Roche; Vladimir Z. Tomov (CoRR, 2024)

High-performance finite elements with MFEM. - Julian Andrej; Nabil M. Atallah; Jan-Phillip Bäcker; John Camier; Dylan Copeland; Veselin Dobrev; Yohann Dudouit; Tobias Duswald; Brendan Keith; Dohyun Kim; Tzanio V. Kolev; Boyan S. Lazarov; et al. (CoRR, 2024)

Weak boundary conditions for Lagrangian shock hydrodynamics: A high-order finite element implementation on curved boundaries. - Nabil M. Atallah; Vladimir Z. Tomov; Guglielmo Scovazzi (J. Comput. Phys., 2024)

A high-order Shifted Interface Method for Lagrangian shock hydrodynamics. - Nabil M. Atallah; Ketan Mittal; Guglielmo Scovazzi; Vladimir Z. Tomov (J. Comput. Phys., 2025)

PDE-Constrained High-Order Mesh Optimization. - Tzanio V. Kolev; Boyan S. Lazarov; Ketan Mittal; Mathias Schmidt; Vladimir Z. Tomov (CoRR, 2025)