Panayot S. Vassilevski

Affiliations:
  • Lawrence Livermore National Laboratory


According to our database1, Panayot S. Vassilevski authored at least 120 papers between 1987 and 2023.

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Bibliography

2023
Multilevel-in-width training for deep neural network regression.
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

Extending bootstrap AMG for clustering of attributed graphs.
Appl. Math. Comput., June, 2023

Multilevel well modeling in aggregation-based nonlinear multigrid for multiphase flow in porous media.
CoRR, 2023

Matrix-free GPU-accelerated saddle-point solvers for high-order problems in H(div).
CoRR, 2023

2022
Multilevel-in-Layer Training for Deep Neural Network Regression.
CoRR, 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

Multilevel graph embedding.
Numer. Linear Algebra Appl., 2021

Estimating posterior quantity of interest expectations in a multilevel scalable framework.
Numer. Linear Algebra Appl., 2021

Network Clustering by Embedding of Attribute-augmented Graphs.
CoRR, 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

Eigenvalue Problems for Exponential-Type Kernels.
Comput. Methods Appl. Math., 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

Improving solve time of aggregation-based adaptive AMG.
Numer. Linear Algebra Appl., 2019

DNN Approximation of Nonlinear Finite Element Equations.
CoRR, 2019

Bootstrap AMG for spectral clustering.
Comput. Math. Methods, 2019

2018
BootCMatch: A Software Package for Bootstrap AMG Based on Graph Weighted Matching.
ACM Trans. Math. Softw., 2018

A Nonlinear Algebraic Multigrid Framework for the Power Flow Equations.
SIAM J. Sci. Comput., 2018

The Auxiliary Space Preconditioner for the de Rham Complex.
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

Arbitrary dimension convection-diffusion schemes for space-time discretizations.
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

Tuning the Coarse Space Construction in a Spectral AMG Solver.
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
A Combined Preconditioning Strategy for Nonsymmetric Systems.
SIAM J. Sci. Comput., 2014

Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods.
SIAM J. Sci. Comput., 2014

A Mixed Formulation for the Brinkman Problem.
SIAM J. Numer. Anal., 2014

Commuting projections on graphs.
Numer. Linear Algebra Appl., 2014

Reducing communication in algebraic multigrid using additive variants.
Numer. Linear Algebra Appl., 2014

The Construction of the Coarse de Rham Complexes with Improved Approximation Properties.
Comput. Methods Appl. Math., 2014

2013
A Block-Diagonal Algebraic Multigrid Preconditioner for the Brinkman Problem.
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

Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid.
SIAM J. Numer. Anal., 2013

Adaptive AMG with coarsening based on compatible weighted matching.
Comput. Vis. Sci., 2013

2012
Parallel Auxiliary Space AMG Solver for H(div) Problems.
SIAM J. Sci. Comput., 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

An improved convergence analysis of smoothed aggregation algebraic multigrid.
Numer. Linear Algebra Appl., 2012

Polynomial of Best Uniform Approximation to 1/x and Smoothing in Two-level Methods.
Comput. Methods Appl. Math., 2012

Regular Decompositions for H(div) Spaces.
Comput. Methods Appl. Math., 2012

2011
Weak Approximation Properties of Elliptic Projections with Functional Constraints.
Multiscale Model. Simul., 2011

Coarse Spaces by Algebraic Multigrid: Multigrid convergence and Upscaling Error Estimates.
Adv. Data Sci. Adapt. Anal., 2011

Smoothed Aggregation Spectral Element Agglomeration AMG: SA-ρAMGe.
Proceedings of the Large-Scale Scientific Computing - 8th International Conference, 2011

2010
General Constrained Energy Minimization Interpolation Mappings for AMG.
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

Advanced multigrid methods for systems of PDEs.
Numer. Linear Algebra Appl., 2008

Recursive Krylov-based multigrid cycles.
Numer. Linear Algebra Appl., 2008

On some versions of the element agglomeration AMGe method.
Numer. Linear Algebra Appl., 2008

H(curl) auxiliary mesh preconditioning.
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

Space-Time Approximation with Sparse Grids.
SIAM J. Sci. Comput., 2006

Multiple Vector Preserving Interpolation Mappings in Algebraic Multigrid.
SIAM J. Matrix Anal. Appl., 2006

AMG by element agglomeration and constrained energy minimization interpolation.
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
Special Issue of NLA On the occasion of the 70th birthday of Owe Axelsson.
Numer. Linear Algebra Appl., 2005

On two-grid convergence estimates.
Numer. Linear Algebra Appl., 2005

2004
On Generalizing the Algebraic Multigrid Framework.
SIAM J. Numer. Anal., 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
Spectral AMGe (ρAMGe).
SIAM J. Sci. Comput., 2003

On Mesh-Independent Convergence of an Inexact Newton-Multigrid Algorithm.
SIAM J. Sci. Comput., 2003

Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.
Numerische Mathematik, 2003

On the occasion of the 60th birthday of Raytcho Lazarov.
Numer. Linear Algebra Appl., 2003

Multilevel block factorizations in generalized hierarchical bases.
Numer. Linear Algebra Appl., 2003

2002
Sparse matrix element topology with application to AMG(e) and preconditioning.
Numer. Linear Algebra Appl., 2002

2001
AMGE Based on Element Agglomeration.
SIAM J. Sci. Comput., 2001

Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG.
SIAM J. Sci. Comput., 2001

Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions.
SIAM J. Numer. Anal., 2001

Special issue on 'Solution Methods for Large-Scale Non-linear Problems'.
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
Computational scales of Sobolev norms with application to preconditioning.
Math. Comput., 2000

Local Refinement in Non-overlapping Domain Decomposition.
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

Preconditioning of Indefinite and Almost Singular Finite Element Elliptic Equations.
SIAM J. Sci. Comput., 1998

Domain embedding preconditioners for mixed systems.
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

On Two Ways of Stabilizing the Hierarchical Basis Multilevel Methods.
SIAM Rev., 1997

Stabilizing the Hierarchical Basis by Approximate Wavelets, I: Theory.
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
Preconditioning Mixed Finite Element Saddle-point Elliptic Problems.
Numer. Linear Algebra Appl., 1996

Interior penalty preconditioners for mixed finite element approximations of elliptic problems.
Math. Comput., 1996

A Variational Parameters-to-Estimate-Free Nonlinear Solver.
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
Preconditioning Capacitance Matrix Problems in Domain Imbedding.
SIAM J. Sci. Comput., 1994

Algebraic Multilevel Preconditioning of Anisotropic Elliptic Problems.
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

Circulant block-factorization preconditioners for elliptic problems.
Computing, 1994

Finite volume methods with local refinement for convection-diffusion problems.
Computing, 1994

1992
Finite Difference Schemes on Triangular Cell-Centered Grids with Local Refinement.
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
Positive definiteness aspects of vectorizable preconditioners.
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


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