Veselin Dobrev is a postdoctoral researcher in the Computational Mathematics group in the Center for Applied Scientific Computing. His research interests are in the areas of: numerical methods for PDEs including finite element and discontinuous Galerkin methods; shock hydrodynamics simulations; iterative and multigrid methods; L1 minimization.
Veselin received his Ph.D. in Mathematics from Texas A&M University in 2007. He is currently working on high-order curvilinear finite elements for Lagrangian hydrodynamics (BLAST project).
V. Dobrev, R. Lazarov, P. Vassilevski, and L. Zikatanov, Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations, Numerical Linear Algebra with Applications, 13 (9), 2006, pp. 753-770.
V. Dobrev, R. Lazarov, and L. Zikatanov, Preconditioning of symmetric interior penalty discontinuous Galerkin FEM for second order elliptic problems, in Domain Decomposition Methods in Science and Engineering XVII, Lecture Notes in Computational Science and Engineering, vol. 60, U. Langer et al. eds, Springer-Verlag, Berlin, Heidelberg, pp. 33-44 (2008).
V. Dobrev, J.-L. Guermond, and B. Popov, Surface reconstruction and image enhancement via L1-minimization, SIAM Journal on Scientific Computing, 32 (3), 2010, pp. 1591-1616.
V. Dobrev, T. Ellis, T. Kolev, and R. Rieben, Curvilinear finite elements for Lagrangian hydrodynamics, International Journal for Numerical Methods in Fluids, 65 (11-12), 2011, pp. 1295-1310.