Local Refinement in Non-overlapping Domain Decomposition. - Veselin Dobrev; Panayot S. Vassilevski (NAA, 2000)

Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. - Veselin Dobrev; Raytcho D. Lazarov; Panayot S. Vassilevski; Ludmil T. Zikatanov (Numer. Linear Algebra Appl., 2006)

Surface Reconstruction via L1-Minimization. - Veselin Dobrev; Jean-Luc Guermond; Bojan Popov (NAA, 2008)

Surface Reconstruction and Image Enhancement via L1-Minimization. - Veselin Dobrev; Jean-Luc Guermond; Bojan Popov (SIAM J. Sci. Comput., 2010)

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)

High-Performance Tensor Contractions for GPUs. - Ahmad Abdelfattah; Marc Baboulin; Veselin Dobrev; Jack J. Dongarra; Christopher W. Earl; Joel Falcou; Azzam Haidar; Ian Karlin; Tzanio V. Kolev; Ian Masliah; Stanimire Tomov (ICCS, 2016)

A Performance Model for Allocating the Parallelism in a Multigrid-in-Time Solver. - Hormozd Gahvari; Veselin A. Dobrev; Robert D. Falgout; Tzanio V. Kolev; Jacob B. Schroder; Martin Schulz 001; Ulrike Meier Yang (PMBS@SC, 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)

Two-Level Convergence Theory for Multigrid Reduction in Time (MGRIT). - Veselin Dobrev; Tzanio V. Kolev; N. Anders Petersson; Jacob B. Schroder (SIAM J. Sci. Comput., 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)

A Scalable Preconditioner for a Primal Discontinuous Petrov-Galerkin Method. - Andrew T. Barker; Veselin Dobrev; Jayadeep Gopalakrishnan; Tzanio V. Kolev (SIAM J. Sci. Comput., 2018)

Non-Conforming Mesh Refinement for High-Order Finite Elements. - Jakub Cervený; Veselin Dobrev; Tzanio V. Kolev (CoRR, 2019)

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)

Nonconforming Mesh Refinement for High-Order Finite Elements. - Jakub Cervený; Veselin Dobrev; Tzanio V. Kolev (SIAM J. Sci. Comput., 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)

Scalability of high-performance PDE solvers. - Paul F. Fischer; Misun Min; Thilina Rathnayake; Som Dutta; Tzanio V. Kolev; Veselin Dobrev; Jean-Sylvain Camier; Martin Kronbichler 002; Timothy C. Warburton; Kasia Swirydowicz; Jed Brown (Int. J. High Perform. Comput. Appl., 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)

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)

libCEED: Fast algebra for high-order element-based discretizations. - Jed Brown; Ahmad Abdelfattah; Valeria Barra; Natalie N. Beams; Jean-Sylvain Camier; Veselin Dobrev; Yohann Dudouit; Leila Ghaffari; Tzanio V. Kolev; David S. Medina; Will Pazner; Thilina Rathnayake; et al. (J. Open Source Softw., 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)

CEED/libCEED: v0.9.0. - Jed Brown; Ahmad Abdelfattah; Valeria Barra; Natalie Beams; Jean-Sylvain Camier; Veselin Dobrev; Yohann Dudouit; Leila Ghaffari; Tzanio V. Kolev; David S. Medina; Will Pazner; Thilina Ratnayaka; et al. (Zenodo, 2021)

libCEED: Efficient Extensible Discretization. - Jed Brown; Ahmad Abdelfattah; Valeria Barra; Natalie Beams; Jean-Sylvain Camier; Veselin Dobrev; Yohann Dudouit; Leila Ghaffari; Tzanio V. Kolev; David S. Medina; Will Pazner; Thilina Ratnayaka; et al. (Zenodo, 2021)

libCEED: Efficient Extensible Discretization. - Jed Brown; Ahmad Abdelfattah; Valeria Barra; Natalie Beams; Jean-Sylvain Camier; Veselin Dobrev; Yohann Dudouit; Leila Ghaffari; Tzanio V. Kolev; David S. Medina; Will Pazner; Thilina Ratnayaka; et al. (Zenodo, 2021)

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)

libCEED: Efficient Extensible Discretization. - Jed Brown; Ahmad Abdelfattah; Valeria Barra; Natalie Beams; Jean-Sylvain Camier; Veselin Dobrev; Yohann Dudouit; Leila Ghaffari; Tzanio V. Kolev; David S. Medina; Will Pazner; Thilina Ratnayaka; et al. (Zenodo, 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)

libCEED: Efficient Extensible Discretization. - Jed Brown; Ahmad Abdelfattah; Valeria Barra; Natalie Beams; Jean-Sylvain Camier; Veselin Dobrev; Yohann Dudouit; Leila Ghaffari; Tzanio V. Kolev; David S. Medina; Will Pazner; Thilina Ratnayaka; et al. (Zenodo, 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)

Real-time Bayesian inference at extreme scale: A digital twin for tsunami early warning applied to the Cascadia subduction zone. - Stefan Henneking; Sreeram Venkat; Veselin Dobrev; John Camier; Tzanio V. Kolev; Milinda Fernando; Alice-Agnes Gabriel; Omar Ghattas (CoRR, 2025)