Vladimir Tomov is a computational mathematician at the Center for Applied Scientific Computing. His research interests include finite element methods for multi-material ALE and radiation hydrodynamics, high-order mesh optimization. Vladimir is leading a R&D project about accurate treatment of curved material interfaces and boundary conditions, and is the original developer of the Laghos and Remhos miniapps. He is also involved in the ETHOS, MFEM, BLAST and CEED projects.
Vladimir joined Lawrence Livermore National Laboratory in 2014 after earning a Ph.D. in Mathematics from Texas A&M University. The topic of his dissertation was Entropy Viscosity Method for Lagrangian Hydrodynamics and Central Schemes for Mean Field Games.
(complete list at Google Scholar)
with V. Dobrev, P. Knupp, Tz. Kolev, R. Rieben. Simulation-driven optimization of high-order meshes in ALE hydrodynamics, Computers & Fluids, 2020.
with R. Anderson, V. Dobrev, Tz. Kolev, R. Rieben. High-order multi-material ALE hydrodynamics, SIAM Journal of Scientific Computing, 2018.
with R. Anderson, V. Dobrev, Tz. Kolev, D. Kuzmin, M. Quezada de Luna, R. Rieben, High-order local maximum principle preserving discontinuous Galerkin finite element method for the transport equation, Journal of Computational Physics, 2017
with V. Dobrev, Tz. Kolev, R. Rieben. Multi-material closure model for high-order finite element Lagrangian hydrodynamics, International Journal for Numerical Methods in Fluids, 2016.
with G.-L. Guermond, B. Popov. Entropy–viscosity method for the single material Euler equations in Lagrangian frame, Computer Methods in Applied Mechanics and Engineering, 2016.