Publications

Google Scholar Citations

Selected Publications

  1. V. Dobrev, Tz. Kolev, R. Rieben and V. Tomov, Multi-material closure model for high-order finite element Lagrangian hydrodynamics, Int. J. Numer. Meth. Fluids, to appear, 2016.
  2. Tz. Kolev, J. Xu and Y. Zhu, Multilevel preconditioners for reaction-diffusion problems with discontinuous coefficients, J. Sci. Comp., pp. 1-27, 2015.
  3. R. Anderson, V. Dobrev, Tz. Kolev and R. Rieben, Monotonicity in high-order curvilinear finite element ALE remap, Int. J. Numer. Meth. Fluids, 77(5), pp. 249–273, 2014.
  4. V. Dobrev, Tz. Kolev and R. Rieben, High-order curvilinear finite element methods for elastic-plastic Lagrangian dynamics, J. Comp. Phys., (257B), pp. 1062–1080, 2014.
  5. P. Vassilevski, U. Villa, A mixed formulation for the Brinkman problem, SIAM J. Numer. Anal., 52-1, pp. 258-281, 2014.
  6. P. Vassilevski, U. Villa, A block-diagonal algebraic multigrid preconditioner for the Brinkman problem, SIAM J. Sci. Comp., 35-5, pp. S3-S17, 2013.
  7. V. Dobrev, T. Ellis, Tz. Kolev and R. Rieben, High-order curvilinear finite elements for axisymmetric Lagrangian hydrodynamics, Computers and Fluids, pp. 58-69, 2013.
  8. Tz. Kolev and P. Vassilevski, Parallel auxiliary space AMG solver for H(div) problems, SIAM J. Sci. Comp., 34, pp. A3079–A3098, 2012.
  9. V. Dobrev, Tz. Kolev and R. Rieben, High-order curvilinear finite element methods for Lagrangian hydrodynamics, SIAM J. Sci. Comp., 34, pp. B606–B641, 2012.
  10. I. Lashuk and P.Vassilevski, Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties, Numer. Linear Algebra Appl., 19, pp. 414-426, 2012.
  11. D. Kalchev, Adaptive algebraic multigrid for finite element elliptic equations with random coefficients, LLNL Tech. Report, LLNL-TR-553254, 2012.
  12. A. Aposporidis, P. Vassilevski, and A. Veneziani, A geometric nonlinear AMLI preconditioner for the Bingham fluid flow in mixed variables, LLNL Tech. Report, LLNL-JRNL-600372, 2012.
  13. D. Kalchev, C. Ketelsen, and P.S. Vassilevski, Adaptive algebraic multigrid for sequence of problems with slowly varying random coefficients, LLNL Tech. Report, LLNL-JRNL-589132, 2012.
  14. A. Baker, R. Falgout, Tz. Kolev and U. Yang, Multigrid smoothers for ultra-parallel computing, SIAM J. Sci. Comp., 33, pp. 2864-2887, 2011.
  15. V. Dobrev, T. Ellis, Tz. Kolev and R. Rieben, Curvilinear finite elements for Lagrangian hydrodynamics, Int. J. Numer. Meth. Fluids, 65, pp. 1295–1310, 2011.
  16. V. Dobrev, J.-L. Guermond, and B. Popov, Surface reconstruction and image enhancement via L1-minimization, SIAM J. Sci. Comp., 32 (3), pp. 1591-1616, 2010.
  17. J. Brannick and R. Falgout, Compatible relaxation and coarsening in algebraic multigrid, SIAM J. Sci. Comp., 32, pp. 1393-1416, 2010.
  18. A. Baker, Tz. Kolev and U. M. Yang, Improving algebraic multigrid interpolation operators for linear elasticity problems, Numer. Linear Algebra Appl., 17, pp. 495-517, 2010.
  19. U. M. Yang, On long-range interpolation operators for aggressive coarsening, Numer. Linear Algebra Appl., 17, pp. 453–472, 2010.
  20. Tz. Kolev and P. Vassilevski, Parallel auxiliary space AMG for H(curl) problems, J. Comput. Math., 27, pp. 604-623, 2009.
  21. A. Baker, E. Jessup and Tz. Kolev, A simple strategy for varying the restart parameter in GMRES(m), J. Comp. Appl. Math., 230, pp. 751-761, 2009.
  22. Tz. Kolev, J. Pasciak and P. Vassilevski, H(curl) auxiliary mesh preconditioning, Numer. Linear Algebra Appl., 15, pp. 455–471, 2008.
  23. H. De Sterck, R. Falgout, J. Nolting and U. M. Yang, Distance-two interpolation for parallel algebraic multigrid, Numer. Linear Algebra Appl., 15, pp. 115–139, 2008.
  24. 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.
  25. D. Alber and L. Olson, Parallel coarse grid selection, Numer. Linear Algebra Appl., 14, pp. 611-643, 2007.
  26. V. Dobrev, R. Lazarov, P. Vassilevski, and L. Zikatanov, Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations, Numer. Linear Algebra Appl., 13 (9), pp. 753-770, 2006.
  27. Tz. Kolev and P. Vassilevski, AMG by element agglomeration and constrained energy minimization interpolation, Numer. Linear Algebra Appl., 13, pp. 771–788, 2006.
  28. J. Bramble, Tz. Kolev and J. Pasciak, A least-squares approximation method for the time-harmonic Maxwell equations, J. Numer. Math., 13, pp. 237-263, 2005.
  29. P. Vassilevski, Sparse matrix element topology with application to AMG(e) and preconditioning, Numer. Linear Algebra Appl., 9, pp. 429--444, 2002.