Panayot S. Vassilevski
Affiliations:- Lawrence Livermore National Laboratory
According to our database1,
Panayot S. Vassilevski
authored at least 122 papers
between 1987 and 2024.
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on zbmath.org
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on llnl.gov
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Bibliography
2024
Matrix-Free High-Performance Saddle-Point Solvers for High-Order Problems in \(\boldsymbol{H}(\operatorname{\textbf{div}})\).
SIAM J. Sci. Comput., 2024
Multilevel well modeling in aggregation-based nonlinear multigrid for multiphase flow in porous media.
J. Comput. Phys., 2024
Scalable Multilevel Monte Carlo Methods Exploiting Parallel Redistribution on Coarse Levels.
CoRR, 2024
2023
Numer. Linear Algebra Appl., October, 2023
Parallel Element-Based Algebraic Multigrid for \(\boldsymbol{H}\) (curl) and \(\boldsymbol{H}\) (div) Problems Using the ParELAG Library.
SIAM J. Sci. Comput., June, 2023
Appl. Math. Comput., June, 2023
CoRR, 2023
2022
An aggregation-based nonlinear multigrid solver for two-phase flow and transport in porous media.
Comput. Math. Appl., 2022
2021
Multilevel Hierarchical Decomposition of Finite Element White Noise with Application to Multilevel Markov Chain Monte Carlo.
SIAM J. Sci. Comput., 2021
Multilevel Spectral Coarsening for Graph Laplacian Problems with Application to Reservoir Simulation.
SIAM J. Sci. Comput., 2021
Estimating posterior quantity of interest expectations in a multilevel scalable framework.
Numer. Linear Algebra Appl., 2021
Parallel Element-based Algebraic Multigrid for H(curl) and H(div) Problems Using the ParELAG Library.
CoRR, 2021
Numerical results for adaptive (negative norm) constrained first order system least squares formulations.
Comput. Math. Appl., 2021
2020
A Condensed Constrained Nonconforming Mortar-Based Approach for Preconditioning Finite Element Discretization Problems.
SIAM J. Sci. Comput., 2020
Auxiliary Space Preconditioning of Finite Element Equations Using a Nonconforming Interior Penalty Reformulation and Static Condensation.
SIAM J. Sci. Comput., 2020
Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems.
CoRR, 2020
2019
Algebraic Hybridization and Static Condensation with Application to Scalable H(div) Preconditioning.
SIAM J. Sci. Comput., 2019
Modifying AMG Coarse Spaces with Weak Approximation Property to Exhibit Approximation in Energy Norm.
SIAM J. Matrix Anal. Appl., 2019
Numer. Linear Algebra Appl., 2019
2018
ACM Trans. Math. Softw., 2018
SIAM J. Sci. Comput., 2018
SIAM J. Numer. Anal., 2018
Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes.
Numer. Linear Algebra Appl., 2018
Space-time discretizations using constrained first-order system least squares (CFOSLS).
J. Comput. Phys., 2018
Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties.
J. Comput. Appl. Math., 2018
2017
A Multilevel, Hierarchical Sampling Technique for Spatially Correlated Random Fields.
SIAM J. Sci. Comput., 2017
Numerical Multilevel Upscaling for Incompressible Flow in Reservoir Simulation: An Element-Based Algebraic Multigrid (AMGe) Approach.
SIAM J. Sci. Comput., 2017
Spectral Upscaling for Graph Laplacian Problems with Application to Reservoir Simulation.
SIAM J. Sci. Comput., 2017
Solving Graph Laplacian Systems Through Recursive Partitioning and Two-Grid Preconditioning.
SIAM J. Matrix Anal. Appl., 2017
J. Comput. Appl. Math., 2017
2016
Upscaling of Mixed Finite Element Discretization Problems by the Spectral AMGe Method.
SIAM J. Sci. Comput., 2016
A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree.
Numer. Linear Algebra Appl., 2016
Proceedings of the International Conference on Computational Science 2016, 2016
2015
Comparative Performance Analysis of Coarse Solvers for Algebraic Multigrid on Multicore and Manycore Architectures.
Proceedings of the Parallel Processing and Applied Mathematics, 2015
2014
SIAM J. Sci. Comput., 2014
Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods.
SIAM J. Sci. Comput., 2014
Numer. Linear Algebra Appl., 2014
The Construction of the Coarse de Rham Complexes with Improved Approximation Properties.
Comput. Methods Appl. Math., 2014
2013
SIAM J. Sci. Comput., 2013
Improving the Communication Pattern in Matrix-Vector Operations for Large Scale-Free Graphs by Disaggregation.
SIAM J. Sci. Comput., 2013
Two-Level Adaptive Algebraic Multigrid for a Sequence of Problems with Slowly Varying Random Coefficients.
SIAM J. Sci. Comput., 2013
SIAM J. Numer. Anal., 2013
Comput. Vis. Sci., 2013
2012
Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids.
SIAM J. Numer. Anal., 2012
Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties.
Numer. Linear Algebra Appl., 2012
Numer. Linear Algebra Appl., 2012
Comput. Methods Appl. Math., 2012
2011
Multiscale Model. Simul., 2011
Coarse Spaces by Algebraic Multigrid: Multigrid convergence and Upscaling Error Estimates.
Adv. Data Sci. Adapt. Anal., 2011
Proceedings of the Large-Scale Scientific Computing - 8th International Conference, 2011
2010
SIAM J. Sci. Comput., 2010
Direction-Preserving and Schur-Monotonic Semiseparable Approximations of Symmetric Positive Definite Matrices.
SIAM J. Matrix Anal. Appl., 2010
2008
Exact de Rham Sequences of Spaces Defined on Macro-Elements in Two and Three Spatial Dimensions.
SIAM J. Sci. Comput., 2008
Numer. Linear Algebra Appl., 2008
A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid.
Numer. Linear Algebra Appl., 2008
2006
2004 Copper Mountain Conference.
SIAM J. Sci. Comput., 2006
SIAM J. Matrix Anal. Appl., 2006
Numer. Linear Algebra Appl., 2006
Mesh-independent convergence of the modified inexact Newton method for a second order non-linear problem.
Numer. Linear Algebra Appl., 2006
Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations.
Numer. Linear Algebra Appl., 2006
2005
Numer. Linear Algebra Appl., 2005
2004
Monotone multigrid methods based on element agglomeration coarsening away from the contact boundary for the Signorini's problem.
Numer. Linear Algebra Appl., 2004
2003
SIAM J. Sci. Comput., 2003
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.
Numerische Mathematik, 2003
Numer. Linear Algebra Appl., 2003
Numer. Linear Algebra Appl., 2003
2002
Numer. Linear Algebra Appl., 2002
2001
SIAM J. Sci. Comput., 2001
SIAM J. Numer. Anal., 2001
Numer. Linear Algebra Appl., 2001
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems.
Numer. Linear Algebra Appl., 2001
2000
Math. Comput., 2000
Proceedings of the Numerical Analysis and Its Applications, 2000
1999
Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-Diffusion Problems.
SIAM J. Sci. Comput., 1999
A general mixed covolume framework for constructing conservative schemes for elliptic problems.
Math. Comput., 1999
Mixed Finite Element Methods for Elliptic Problems on Non-Matching Grids.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1999
A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1999
1998
Stabilizing the Hierarchical Basis by Approximate Wavelets II: Implementation and Numerical Results.
SIAM J. Sci. Comput., 1998
SIAM J. Sci. Comput., 1998
Numer. Linear Algebra Appl., 1998
1997
Performance of Block-ILU Factorization Preconditioners Based on Block-Size Reduction for 2D Elasticity Systems.
SIAM J. Sci. Comput., 1997
SIAM Rev., 1997
Numer. Linear Algebra Appl., 1997
Algebraic Two-Level Preconditioning of Non-Conforming FEM Systems.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1997
Domain Embedding and the Dirichlet Problem.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1997
1996
Numer. Linear Algebra Appl., 1996
Interior penalty preconditioners for mixed finite element approximations of elliptic problems.
Math. Comput., 1996
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996
1995
Preconditioning Nonsymmetric and Indefinite Capacitance Matrix Problems in Domain Imbedding.
SIAM J. Sci. Comput., 1995
Least-Squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems: II. Performance of Block-ILU Factorization Methods.
SIAM J. Sci. Comput., 1995
1994
SIAM J. Sci. Comput., 1994
SIAM J. Sci. Comput., 1994
Two-Level Local Refinement Preconditioners for Nonsymmetric and Indefinite Elliptic Problems.
SIAM J. Sci. Comput., 1994
Local refinement techniques for elliptic problems on cell-centered grids; II. Optimal order two-grid iterative methods.
Numer. Linear Algebra Appl., 1994
Variable-step multilevel preconditioning methods, I: Self-adjoint and positive definite elliptic problems.
Numer. Linear Algebra Appl., 1994
Computing, 1994
1992
SIAM J. Sci. Comput., 1992
Computation of Constants in the Strengthened Cauchy Inequality for Elliptic Bilinear Forms with Anisotropy.
SIAM J. Sci. Comput., 1992
1991
The Role of the Strengthened Cauchy-Buniakowskii-Schwarz Inequality in Multilevel Methods.
SIAM Rev., 1991
1990
On some ways of approximating inverses of banded matrices in connection with deriving preconditioners based on incomplete block factorizations.
Computing, 1990
Finite difference schemes on grids with local refinement in time and space for parabolic problems I. Derivation, stability, and error analysis.
Computing, 1990
1989
Parallel Comput., 1989
1987
Solving Elliptic Problems by the Domain Decomposition Method Using Proconditioning Matrices Derived by Multilevel Splitting of the Finite Element Matrix.
Proceedings of the Supercomputing, 1987