Upscaling of mixed finite element discretization problems by the spectral AMGe method DZ Kalchev, CS Lee, U Villa, Y Efendiev, PS Vassilevski SIAM Journal on Scientific Computing 38 (5), A2912-A2933, 2016 | 20 | 2016 |

Two-Level Adaptive Algebraic Multigrid for a Sequence of Problems with Slowly Varying Random Coefficients D Kalchev, C Ketelsen, PS Vassilevski SIAM Journal on Scientific Computing 35 (6), B1215-B1234, 2013 | 12 | 2013 |

Adaptive Algebraic Multigrid for Finite Element Elliptic Equations with Random Coefficients D Kalchev Master's thesis, Sofia University, Bulgaria; Technical report LLNL-TR-553254 …, 2012 | 11 | 2012 |

Auxiliary Space Preconditioning of Finite Element Equations Using a Nonconforming Interior Penalty Reformulation and Static Condensation DZ Kalchev, PS Vassilevski SIAM Journal on Scientific Computing 42 (3), A1741-A1764, 2020 | 6 | 2020 |

A least‐squares finite element method based on the Helmholtz decomposition for hyperbolic balance laws DZ Kalchev, TA Manteuffel Numerical Methods for Partial Differential Equations 36 (6), 1418-1445, 2020 | 5 | 2020 |

Mixed and least‐squares finite element methods with application to linear hyperbolic problems DZ Kalchev, TA Manteuffel, S Münzenmaier Numerical Linear Algebra with Applications 25 (3), e2150, 2018 | 5 | 2018 |

Accurate Coarse-Scale AMG-Based Finite Volume Reservoir Simulations in Highly Heterogeneous Media AT Barker, DZ Kalchev, ID Mishev, PS Vassilevski, Y Yang SPE Reservoir Simulation Symposium, 2015 | 4 | 2015 |

A Condensed Constrained Nonconforming Mortar-based Approach for Preconditioning Finite Element Discretization Problems DZ Kalchev, P Vassilevski SIAM Journal on Scientific Computing 42 (5), A3136-A3156, 2020 | 3 | 2020 |

Comparative Performance Analysis of Coarse Solvers for Algebraic Multigrid on Multicore and Manycore Architectures A Druinsky, P Ghysels, XS Li, O Marques, S Williams, A Barker, D Kalchev, ... Parallel Processing and Applied Mathematics, 116-127, 2015 | 3 | 2015 |

Parallel Element-Based Algebraic Multigrid for (c__ur__l) and (div) Problems Using the ParELAG LibraryDZ Kalchev, PS Vassilevski, U Villa SIAM Journal on Scientific Computing 45 (3), S371-S400, 2023 | 2 | 2023 |

Dual-Norm Least-Squares Finite Element Methods for Hyperbolic Problems DZ Kalchev PhD thesis, University of Colorado at Boulder, Department of Applied Mathematics, 2018 | 2 | 2018 |

Tuning the Coarse Space Construction in a Spectral AMG Solver O Marques, A Druinsky, XS Li, AT Barker, P Vassilevski, D Kalchev Procedia Computer Science, International Conference on Computational Science …, 2016 | 2 | 2016 |

On ParELAG's Parallel Element-based Algebraic Multigrid and its MFEM Miniapps for H(curl) and H(div) Problems: a report including lowest and next to the lowest order numerical … DZ Kalchev, PS Vassilevski, U Villa Lawrence Livermore National Lab.(LLNL), Livermore, CA (United States …, 2021 | | 2021 |

MULTILEVEL MONTE CARLO (MLMC) SIMULATIONS: PERFORMANCE RESULTS FOR SPE10 (XY SLICES) D Kalchev, PS Vassilevski Lawrence Livermore National Lab.(LLNL), Livermore, CA (United States), 2016 | | 2016 |

Adaptive multilevel AMG for sequences of problems with gradually changing random coefficients D Kalchev, C Ketelsen, P Vassilevski Lawrence Livermore National Laboratory, Livermore, CA, USA, 2013 | | 2013 |