Publications

Google Scholar Citations

Selected Publications

  1. R. Anderson, A. Barker, J. Bramwell, J. Camier, J. Ceverny, J. Dahm, Y. Dudouit, V. Dobrev, A. Fisher, Tz. Kolev, D. Medina, M. Stowell, and V. Tomov, MFEM: A Modular Finite Element Library, in preparation, 2018.
  2. V. Dobrev, P. Knupp, Tz. Kolev, and V. Tomov, Towards Simulation-Driven Optimization of High-Order Meshes by the Target-Matrix Optimization Paradigm, 27th International Meshing Roundtable, Oct 1-8, 2018, Albuquerque, submitted, 2018.
  3. J. Ceverny, V. Dobrev, and Tz. Kolev, Non-Conforming Mesh Refinement For High-Order Finite Elements, submitted, 2018.
  4. V. A. Dobrev, T. V. Kolev, C. S. Lee, V. Z. Tomov, and P. S. Vassilevski, Algebraic Hybridization and Static Condensation with Application to Scalable H(div) Preconditioning, SIAM Journal on Scientific Computing, in review, 2018.
  5. V. Dobrev, P. Knupp, Tz. Kolev, K. Mittal, and V. Tomov, The Target-Matrix Optimization Paradigm For High-Order Meshes, SIAM Journal on Scientific Computing, in review, 2018.
  6. H. Auten, The High Value of Open Source Software, Science & Technology Review, January/February 2018, pp. 5-11, 2018.
  7. R. W. Anderson, V. A. Dobrev, Tz. V. Kolev, R. N. Rieben, and V. Z. Tomov, High-Order Multi-Material ALE Hydrodynamics, SIAM Journal on Scientific Computing, 40(1), pp. B32-B58, 2018.
  8. A. T. Barker, V. Dobrev, J. Gopalakrishnan, and Tz. Kolev, A scalable preconditioner for a primal discontinuous Petrov-Galerkin method, SIAM Journal on Scientific Computing, 40(2), pp. A1187–A1203, 2018.
  9. V. Dobrev, T. Kolev, D. Kuzmin, R. Rieben, and V. Tomov, Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations, Journal of Computational Physics, 356, pp. 372 - 390, 2018.
  10. M. Reberol and B. Lévy, Computing the Distance between Two Finite Element Solutions Defined on Different 3D Meshes on a GPU, SIAM Journal on Scientific Computing, 40(1), pp. C131-C155, 2018.
  11. A. Mazuyer, P. Cupillard, R. Giot, M. Conin, Y. Leroy, and P. Thore, Stress estimation in reservoirs using an integrated inverse method, Computers & Geosciences, 114, pp. 30 - 40, 2018.
  12. D. A. White, M. Stowell, and D. A. Tortorelli, Topological optimization of structures using Fourier representations, Structural and Multidisciplinary Optimization, pp. 1-16, Apr. 2018.
  13. R. Li, Y. Xi, L. Erlandson, and Y. Saad, The Eigenvalues Slicing Library (EVSL): Algorithms, Implementation, and Software, arXiv:1802.05215, Feb. 2018.
  14. S. Rhebergen and S. N. Wells, Preconditioning of a hybridized discontinuous Galerkin finite element method for the Stokes equations, arXiv:1801.04707, Jan. 2018.
  15. T. S. Haut, P. G. Maginot, V. Z. Tomov, T. A. Brunner, and T. S. Bailey, An Efficient Sweep-based Solver for the $S_N$ Equations on High-Order Meshes, American Nuclear Society 2018 Annual Meeting, June 14-21, Philadelphia, PA, 2018.
  16. A. Sánchez-Villar and M. Merino, Advances in Wave-Plasma Modelling in ECR Thrusters, 2018 Space Propulsion Conference, May 14-18, Seville, Spain, 2018.
  17. S. Osborn, P. S. Vassilevski, and U. Villa, A Multilevel, Hierarchical Sampling Technique for Spatially Correlated Random Fields, SIAM Journal on Scientific Computing, 39(5), pp. S543-S562, Oct. 2017.
  18. R. D. Falgout, T. A. Manteuffel, B. O'Neill, and J. B. Schroder, Multigrid Reduction In Time For Nonlinear Parabolic Problems: A Case Study, SIAM Journal on Scientific Computing, 39(5), pp. S298-S322, Oct. 2017.
  19. T. A. Manteuffel, L. N. Olson, J. B. Schroder, and B. S. Southworth, A Root-Node Based Algebraic Multigrid Method, SIAM Journal on Scientific Computing, 39(5), pp. S723-S756, Oct. 2017.
  20. A. T. Barker, C. S. Lee, and P. S. Vassilevski, Spectral Upscaling for Graph Laplacian Problems with Application to Reservoir Simulation, SIAM Journal on Scientific Computing, 39(5), pp. S323-S346, Oct. 2017.
  21. V. A. Dobrev, Tz. Kolev, N. A. Peterson, and J. B. Schroder, Two-level Convergence Theory For Multigrid Reduction In Time (MGRIT), SIAM Journal on Scientific Computing, 39(5), pp. S501-S527, Oct. 2017.
  22. R. E. Bank, P. S. Vassilevski, and L. T. Zikatanov, Arbitrary Dimension Convection-Diffusion Schemes For Space-Time Discretizations, Journal of Computational and Applied Mathematics, 310, pp. 19-31, 2017.
  23. S. Osborn, P. Zulian, T. Benson, U. Villa, R. Krause, and P. S. Vassilevski, Scalable hierarchical PDE sampler for generating spatially correlated random fields using non-matching meshes, Numerical Linear Algebra with Applications, 25, pp. e2146, Dec. 2017.
  24. J. H. Adler, I. Lashuk, and S. P. MacLachlan, Composite-grid multigrid for diffusion on the sphere, Numerical Linear Algebra with Applications, 25(1), pp. e2115, 2017.
  25. J. Gopalakrishnan, M. Neumüller, and P. Vassilevski, The auxiliary space preconditioner for the de Rham complex, arXiv:1710.07840, Oct. 2017.
  26. S. Zampini, P. S. Vassilevski, V. Dobrev, and T. Kolev, Balancing Domain Decomposition by Constraints Algorithms for Curl-conforming Spaces of Arbitrary Order, Domain Decomposition Methods in Science and Engineering XXIV, 2017.
  27. M. Larsen, J. Ahrens, U. Ayachit, E. Brugger, H. Childs, B. Geveci, and C. Harrison, The ALPINE In Situ Infrastructure: Ascending from the Ashes of Strawman, ISAV 2017: In Situ Infrastructures for Enabling Extreme-scale Analysis and Visualization, Nov. 2017.
  28. J. Wright and S. Shiraiwa, Antenna to Core: A New Approach to RF Modelling, 22 Topical Conference on Radio-Frequency Power in Plasmas, 2017.
  29. S. Shiraiwa, J. C. Wright, P. T. Bonoli, Tz. Kolev, and M. Stowell, RF wave simulation for cold edge plasmas using the MFEM library, 22 Topical Conference on Radio-Frequency Power in Plasmas, 2017.
  30. C. Hofer, U. Langer, M. Neumüller, and I. Toulopoulos, Time-Multipatch Discontinuous Galerkin Space-Time Isogeometric Analysis of Parabolic Evolution Problems, RICAM-Report 2017-26, 2017.
  31. J. Billings, A. McCaskey, G. Vallee, and G. Watson, Will humans even write code in 2040 and what would that mean for extreme heterogeneity in computing?, arXiv:1712.00676, Dec. 2017.
  32. M. L. C. Christensen, U. Villa, A. Engsig-Karup, and P. S. Vassilevski, Numerical Multilevel Upscaling For Incompressible Flow in Reservoir Simulation: An Element-Based Algebraic Multigrid (AMGe) Approach, SIAM Journal on Scientific Computing, 39(1), pp. B102-B137, Feb. 2017.
  33. R. Anderson, V. Dobrev, Tz. Kolev, D. Kuzmin, M. Q. de Luna, R. Rieben, and V. Tomov, High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation, Journal of Computational Physics, 334, pp. 102-124, Apr. 2017.
  34. R. Li and Y. Saad, Low-Rank Correction Methods for Algebraic Domain Decomposition Preconditioners, SIAM Journal on Matrix Analysis and Applications, 38(3), pp. 807-828, Aug. 2017.
  35. D. Z. Kalchev, C. S. Lee, U. Villa, Y. Efendiev, and P. S. Vassilevski, Upscaling of Mixed Finite Element Discretization Problems by the Spectral AMGe Method, SIAM Journal on Scientific Computing, 38(5), pp. A2912–A2933, Sep. 2016.
  36. V. A. Dobrev, Tz. V. Kolev, R. N. Rieben, and V. Z. Tomov, Multi-material closure model for high-order finite element Lagrangian hydrodynamics, International Journal for Numerical Methods in Fluids, 82(10), pp. 689-706, 2016.
  37. J. Guermond, B. Popov, and V. Tomov, Entropy-viscosity method for the single material Euler equations in Lagrangian frame, Computer Methods in Applied Mechanics and Engineering, 300, pp. 402 - 426, Mar. 2016.
  38. M. Holec, J. Limpouch, R. Liska, and S. Weber, High-order discontinuous Galerkin nonlocal transport and energy equations scheme for radiation hydrodynamics, International Journal for Numerical Methods in Fluids, 83(10), pp. 779-797, 2016.
  39. Tz. V. Kolev, J. Xu, and Y. Zhu, Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients, Journal of Scientific Computing, 67(1), pp. 324--350, Apr. 2016.
  40. M. Reberol and B. Lévy, Low-order continuous finite element spaces on hybrid non-conforming hexahedral-tetrahedral meshes, CoRR, abs/1605.02626, 2016.
  41. O. Marques, A. Druinsky, X. S. Li, A. T. Barker, P. Vassilevski, and D. Kalchev, Tuning the Coarse Space Construction in a Spectral AMG Solver, Procedia Computer Science, 80, pp. 212 - 221, International Conference on Computational Science 2016, ICCS 2016, 6-8 June 2016, San Diego, California, USA, 2016.
  42. J. S. Yeom, J. J. Thiagarajan, A. Bhatele, G. Bronevetsky, and T. Kolev, Data-Driven Performance Modeling of Linear Solvers for Sparse Matrices, 2016 7th International Workshop on Performance Modeling, Benchmarking and Simulation of High Performance Computer Systems (PMBS), Nov. 2016.
  43. D. Osei-Kuffuor, R. Li, and Y. Saad, Matrix Reordering Using Multilevel Graph Coarsening for ILU Preconditioning, SIAM Journal on Scientific Computing, 37(1), pp. A391-A419, Feb. 2015.
  44. 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.
  45. 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.
  46. P. Vassilevski and U. Villa, A mixed formulation for the Brinkman problem, SIAM Journal on Numerical Analysis, 52-1, pp. 258-281, 2014.
  47. J. H. Adler and P. S. Vassilevski, Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods, SIAM Journal on Scientific Computing, 36(3), pp. A1071-A1088, 2014.
  48. A. Aposporidis, P. S. Vassilevski, and A. Veneziani, Multigrid preconditioning of the non-regularized augmented Bingham fluid problem, ETNA. Electronic Transactions on Numerical Analysis, 41, Jan. 2014.
  49. P. S. Vassilevski and U. M. Yang, Reducing communication in algebraic multigrid using additive variants, Numerical Linear Algebra with Applications, 21(2), pp. 275-296, 2014.
  50. T. Dong, V. Dobrev, T. Kolev, R. Rieben, S. Tomov, and J. Dongarra, A Step towards Energy Efficient Computing: Redesigning a Hydrodynamic Application on CPU-GPU, 2014 IEEE 28th International Parallel and Distributed Processing Symposium, May 2014.
  51. P. Vassilevski and U. Villa, A block-diagonal algebraic multigrid preconditioner for the Brinkman problem, SIAM Journal on Scientific Computing, 35-5, pp. S3-S17, 2013.
  52. 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.
  53. D. Kalchev, C. Ketelsen, and P. S. Vassilevski, Two-level adaptive algebraic multigrid for sequence of problems with slowly varying random coefficients, SIAM Journal on Scientific Computing, 35(6), pp. B1215-B1234, Nov. 2013.
  54. P. D'Ambra and P. S. Vassilevski, Adaptive AMG with coarsening based on compatible weighted matching, Computing and Visualization in Science, 16(2), pp. 59--76, Apr. 2013.
  55. T. A. Brunner, T. V. Kolev, T. S. Bailey, and A. T. Till, Preserving Spherical Symmetry in Axisymmetric Coordinates for Diffusion, International Conference on Mathematics and Computational Methods Applied to Nuclear Science & Engineering, 2013.
  56. Tz. Kolev and P. Vassilevski, Parallel auxiliary space AMG solver for H(div) problems, SIAM Journal on Scientific Computing, 34, pp. A3079–A3098, 2012.
  57. V. Dobrev, Tz. Kolev, and R. Rieben, High-order curvilinear finite element methods for Lagrangian hydrodynamics, SIAM Journal on Scientific Computing, 34, pp. B606–B641, 2012.
  58. I. Lashuk and P.Vassilevski, Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties, Numerical Linear Algebra with Applications, 19, pp. 414-426, 2012.
  59. D. Kalchev, Adaptive algebraic multigrid for finite element elliptic equations with random coefficients, LLNL Tech. Report, LLNL-TR-553254, 2012.
  60. 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.
  61. P. Knupp, Introducing the target-matrix paradigm for mesh optimization by node movement, Engineering with Computers, 28(4), pp. 419--429, 2012.
  62. T. A. Brunner, Mulard: A Multigroup Thermal Radiation Diffusion Mini-Application, DOE Exascale Research Conference, Portland, Oregon, 2012.
  63. A. Baker, R. Falgout, T. Kolev, and U. Yang, Multigrid smoothers for ultra-parallel computing, SIAM Journal on Scientific Computing, 33(5), pp. 2864-2887, Oct. 2011.
  64. 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.
  65. V. Dobrev, J.-L. Guermond, and B. Popov, Surface reconstruction and image enhancement via L1-minimization, SIAM Journal on Scientific Computing, 32 (3), pp. 1591-1616, 2010.
  66. J. Brannick and R. Falgout, Compatible relaxation and coarsening in algebraic multigrid, SIAM Journal on Scientific Computing, 32, pp. 1393-1416, 2010.
  67. A. Baker, Tz. Kolev, and U. M. Yang, Improving algebraic multigrid interpolation operators for linear elasticity problems, Numerical Linear Algebra with Applications, 17, pp. 495-517, 2010.
  68. U. M. Yang, On long-range interpolation operators for aggressive coarsening, Numerical Linear Algebra with Applications, 17, pp. 453–472, 2010.
  69. Tz. Kolev and P. Vassilevski, Parallel auxiliary space AMG for H(curl) problems, Journal of Computational Mathematics, 27, pp. 604-623, 2009.
  70. Tz. V. Kolev and R. N. Rieben, A tensor artificial viscosity using a finite element approach, Journal of Computational Physics, 228(22), pp. 8336 - 8366, 2009.
  71. 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.
  72. Tz. Kolev, J. Pasciak, and P. Vassilevski, H(curl) auxiliary mesh preconditioning, Numerical Linear Algebra with Applications, 15, pp. 455–471, 2008.
  73. H. De Sterck, R. Falgout, J. Nolting, and U. M. Yang, Distance-two interpolation for parallel algebraic multigrid, Numerical Linear Algebra with Applications, 15, pp. 115–139, Apr. 2008.
  74. 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.
  75. D. Alber and L. Olson, Parallel coarse grid selection, Numerical Linear Algebra with Applications, 14, pp. 611-643, 2007.
  76. 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), pp. 753-770, 2006.
  77. Tz. Kolev and P. Vassilevski, AMG by element agglomeration and constrained energy minimization interpolation, Numerical Linear Algebra with Applications, 13, pp. 771–788, 2006.
  78. J. Bramble, Tz. Kolev, and J. Pasciak, A least-squares approximation method for the time-harmonic Maxwell equations, Journal of Numerical Mathematics, 13(4), pp. 237-263, 2005.
  79. P. Vassilevski, Sparse matrix element topology with application to AMG(e) and preconditioning, Numerical Linear Algebra with Applications, 9, pp. 429--444, 2002.