Solving Elliptic Problems by the Domain Decomposition Method Using Proconditioning Matrices Derived by Multilevel Splitting of the Finite Element Matrix. - Raytcho D. Lazarov; Panayot S. Vassilevski; Svetozar Margenov (ICS, 1987)

Positive definiteness aspects of vectorizable preconditioners. - Victor Eijkhout; Panayot S. Vassilevski (Parallel Comput., 1989)

Finite difference schemes on grids with local refinement in time and space for parabolic problems I. Derivation, stability, and error analysis. - Richard E. Ewing; Raytcho D. Lazarov; Panayot S. Vassilevski (Computing, 1990)

On some ways of approximating inverses of banded matrices in connection with deriving preconditioners based on incomplete block factorizations. - Panayot S. Vassilevski (Computing, 1990)

The Role of the Strengthened Cauchy-Buniakowskii-Schwarz Inequality in Multilevel Methods. - Victor Eijkhout; Panayot S. Vassilevski (SIAM Rev., 1991)

Computation of Constants in the Strengthened Cauchy Inequality for Elliptic Bilinear Forms with Anisotropy. - Panayot S. Vassilevski; Maya H. Etova (SIAM J. Sci. Comput., 1992)

Finite Difference Schemes on Triangular Cell-Centered Grids with Local Refinement. - Panayot S. Vassilevski; Svetozara I. Petrova; Raytcho D. Lazarov (SIAM J. Sci. Comput., 1992)

Finite volume methods with local refinement for convection-diffusion problems. - R. D. Lararov; I. D. Mishev; Panayot S. Vassilevski (Computing, 1994)

Circulant block-factorization preconditioners for elliptic problems. - Ivan Lirkov; Svetozar Margenov; Panayot S. Vassilevski (Computing, 1994)

Variable-step multilevel preconditioning methods, I: Self-adjoint and positive definite elliptic problems. - Owe Axelsson; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 1994)

Local refinement techniques for elliptic problems on cell-centered grids; II. Optimal order two-grid iterative methods. - Richard E. Ewing; Raytcho D. Lazarov; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 1994)

Two-Level Local Refinement Preconditioners for Nonsymmetric and Indefinite Elliptic Problems. - Richard E. Ewing; Svetozara I. Petrova; Panayot S. Vassilevski (SIAM J. Sci. Comput., 1994)

Algebraic Multilevel Preconditioning of Anisotropic Elliptic Problems. - Svetozar Margenov; Panayot S. Vassilevski (SIAM J. Sci. Comput., 1994)

Preconditioning Capacitance Matrix Problems in Domain Imbedding. - Wlodek Proskurowski; Panayot S. Vassilevski (SIAM J. Sci. Comput., 1994)

Least-Squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems: II. Performance of Block-ILU Factorization Methods. - Graham F. Carey; Atanas I. Pehlivanov; Panayot S. Vassilevski (SIAM J. Sci. Comput., 1995)

Preconditioning Nonsymmetric and Indefinite Capacitance Matrix Problems in Domain Imbedding. - Wlodzimierz Proskurowski; Panayot S. Vassilevski (SIAM J. Sci. Comput., 1995)

A Variational Parameters-to-Estimate-Free Nonlinear Solver. - Svetozara Petrova; Panayot S. Vassilevski (WNAA, 1996)

Interior penalty preconditioners for mixed finite element approximations of elliptic problems. - Torgeir Rusten; Panayot S. Vassilevski; Ragnar Winther (Math. Comput., 1996)

Preconditioning Mixed Finite Element Saddle-point Elliptic Problems. - Panayot S. Vassilevski; Raytcho D. Lazarov (Numer. Linear Algebra Appl., 1996)

Domain Embedding and the Dirichlet Problem. - Einar Haug; Torgeir Rusten; Panayot S. Vassilevski; Ragnar Winther (LSSC, 1997)

Algebraic Two-Level Preconditioning of Non-Conforming FEM Systems. - Svetozar Margenov; Panayot S. Vassilevski (LSSC, 1997)

Stabilizing the Hierarchical Basis by Approximate Wavelets, I: Theory. - Panayot S. Vassilevski; Junping Wang (Numer. Linear Algebra Appl., 1997)

On Two Ways of Stabilizing the Hierarchical Basis Multilevel Methods. - Panayot S. Vassilevski (SIAM Rev., 1997)

Performance of Block-ILU Factorization Preconditioners Based on Block-Size Reduction for 2D Elasticity Systems. - Tony F. Chan; Svetozar Margenov; Panayot S. Vassilevski (SIAM J. Sci. Comput., 1997)

Domain embedding preconditioners for mixed systems. - Torgeir Rusten; Panayot S. Vassilevski; Ragnar Winther (Numer. Linear Algebra Appl., 1998)

Preconditioning of Indefinite and Almost Singular Finite Element Elliptic Equations. - Maya G. Neytcheva; Panayot S. Vassilevski (SIAM J. Sci. Comput., 1998)

Stabilizing the Hierarchical Basis by Approximate Wavelets II: Implementation and Numerical Results. - Panayot S. Vassilevski; Junping Wang (SIAM J. Sci. Comput., 1998)

A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations. - Volker John; Gunar Matthies; Teodora Mitkova; Lutz Tobiska; Panayot S. Vassilevski (LSSC, 1999)

Mixed Finite Element Methods for Elliptic Problems on Non-Matching Grids. - Raytcho D. Lazarov; Joseph E. Pasciak; Panayot S. Vassilevski (LSSC, 1999)

A general mixed covolume framework for constructing conservative schemes for elliptic problems. - So-Hsiang Chou; Panayot S. Vassilevski (Math. Comput., 1999)

Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-Diffusion Problems. - So-Hsiang Chou; Do Y. Kwak 001; Panayot S. Vassilevski (SIAM J. Sci. Comput., 1999)

Local Refinement in Non-overlapping Domain Decomposition. - Veselin Dobrev; Panayot S. Vassilevski (NAA, 2000)

Computational scales of Sobolev norms with application to preconditioning. - James H. Bramble; Joseph E. Pasciak; Panayot S. Vassilevski (Math. Comput., 2000)

Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. - Raytcho D. Lazarov; Joseph E. Pasciak; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2001)

Special issue on 'Solution Methods for Large-Scale Non-linear Problems'. - Panayot S. Vassilevski; Carol S. Woodward (Numer. Linear Algebra Appl., 2001)

Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions. - Chisup Kim; Raytcho D. Lazarov; Joseph E. Pasciak; Panayot S. Vassilevski (SIAM J. Numer. Anal., 2001)

Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG. - Van Emden Henson; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2001)

AMGE Based on Element Agglomeration. - Jim E. Jones; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2001)

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

Multilevel block factorizations in generalized hierarchical bases. - Edmond Chow; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2003)

On the occasion of the 60th birthday of Raytcho Lazarov. - Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2003)

Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids. - Raytcho D. Lazarov; Joseph E. Pasciak; Joachim Schöberl; Panayot S. Vassilevski (Numerische Mathematik, 2003)

On Mesh-Independent Convergence of an Inexact Newton-Multigrid Algorithm. - Peter N. Brown; Panayot S. Vassilevski; Carol S. Woodward (SIAM J. Sci. Comput., 2003)

Spectral AMGe (ρAMGe). - Tim Chartier; Robert D. Falgout; Van Enden Henson; Jim E. Jones; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2003)

Monotone multigrid methods based on element agglomeration coarsening away from the contact boundary for the Signorini's problem. - Ana H. Iontcheva; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2004)

On Generalizing the Algebraic Multigrid Framework. - Robert D. Falgout; Panayot S. Vassilevski (SIAM J. Numer. Anal., 2004)

On two-grid convergence estimates. - Robert D. Falgout; Panayot S. Vassilevski; Ludmil T. Zikatanov (Numer. Linear Algebra Appl., 2005)

Special Issue of NLA On the occasion of the 70th birthday of Owe Axelsson. - Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2005)

Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. - Veselin Dobrev; Raytcho D. Lazarov; Panayot S. Vassilevski; Ludmil T. Zikatanov (Numer. Linear Algebra Appl., 2006)

Mesh-independent convergence of the modified inexact Newton method for a second order non-linear problem. - Taejong Kim; Joseph E. Pasciak; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2006)

AMG by element agglomeration and constrained energy minimization interpolation. - Tzanio V. Kolev; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2006)

Multiple Vector Preserving Interpolation Mappings in Algebraic Multigrid. - Panayot S. Vassilevski; Ludmil T. Zikatanov (SIAM J. Matrix Anal. Appl., 2006)

Space-Time Approximation with Sparse Grids. - Michael Griebel; Daniel Oeltz; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2006)

2004 Copper Mountain Conference. - Panayot S. Vassilevski (SIAM J. Sci. Comput., 2006)

A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid. - Marian Brezina; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; Geoffrey Sanders; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2008)

H(curl) auxiliary mesh preconditioning. - Tzanio V. Kolev; Joseph E. Pasciak; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2008)

On some versions of the element agglomeration AMGe method. - Ilya Lashuk; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2008)

Recursive Krylov-based multigrid cycles. - Yvan Notay; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2008)

Advanced multigrid methods for systems of PDEs. - Panayot S. Vassilevski; Ludmil T. Zikatanov (Numer. Linear Algebra Appl., 2008)

Exact de Rham Sequences of Spaces Defined on Macro-Elements in Two and Three Spatial Dimensions. - Joseph E. Pasciak; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2008)

Direction-Preserving and Schur-Monotonic Semiseparable Approximations of Symmetric Positive Definite Matrices. - Ming Gu 002; Xiaoye S. Li; Panayot S. Vassilevski (SIAM J. Matrix Anal. Appl., 2010)

General Constrained Energy Minimization Interpolation Mappings for AMG. - Panayot S. Vassilevski (SIAM J. Sci. Comput., 2010)

Smoothed Aggregation Spectral Element Agglomeration AMG: SA-ρAMGe. - Marian Brezina; Panayot S. Vassilevski (LSSC, 2011)

Coarse Spaces by Algebraic Multigrid: Multigrid convergence and Upscaling Error Estimates. - Panayot S. Vassilevski (Adv. Data Sci. Adapt. Anal., 2011)

Weak Approximation Properties of Elliptic Projections with Functional Constraints. - Robert Scheichl; Panayot S. Vassilevski; Ludmil T. Zikatanov (Multiscale Model. Simul., 2011)

Regular Decompositions for H(div) Spaces. - Tzanio V. Kolev; Panayot S. Vassilevski (Comput. Methods Appl. Math., 2012)

Polynomial of Best Uniform Approximation to 1/x and Smoothing in Two-level Methods. - Johannes Kraus 001; Panayot S. Vassilevski; Ludmil T. Zikatanov (Comput. Methods Appl. Math., 2012)

An improved convergence analysis of smoothed aggregation algebraic multigrid. - Marian Brezina; Petr Vanek; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2012)

Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties. - Ilya Lashuk; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2012)

Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids. - Robert Scheichl; Panayot S. Vassilevski; Ludmil T. Zikatanov (SIAM J. Numer. Anal., 2012)

Parallel Auxiliary Space AMG Solver for H(div) Problems. - Tzanio V. Kolev; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2012)

Adaptive AMG with coarsening based on compatible weighted matching. - Pasqua D'Ambra; Panayot S. Vassilevski (Comput. Vis. Sci., 2013)

Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid. - Xiaozhe Hu; Panayot S. Vassilevski; Jinchao Xu (SIAM J. Numer. Anal., 2013)

Two-Level Adaptive Algebraic Multigrid for a Sequence of Problems with Slowly Varying Random Coefficients. - Delyan Kalchev; Christian Ketelsen; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2013)

Improving the Communication Pattern in Matrix-Vector Operations for Large Scale-Free Graphs by Disaggregation. - Verena Kuhlemann; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2013)

A Block-Diagonal Algebraic Multigrid Preconditioner for the Brinkman Problem. - Panayot S. Vassilevski; Umberto Villa (SIAM J. Sci. Comput., 2013)

The Construction of the Coarse de Rham Complexes with Improved Approximation Properties. - Ilya Lashuk; Panayot S. Vassilevski (Comput. Methods Appl. Math., 2014)

Reducing communication in algebraic multigrid using additive variants. - Panayot S. Vassilevski; Ulrike Meier Yang (Numer. Linear Algebra Appl., 2014)

Commuting projections on graphs. - Panayot S. Vassilevski; Ludmil T. Zikatanov (Numer. Linear Algebra Appl., 2014)

A Mixed Formulation for the Brinkman Problem. - Panayot S. Vassilevski; Umberto Villa (SIAM J. Numer. Anal., 2014)

Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods. - James H. Adler; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2014)

A Combined Preconditioning Strategy for Nonsymmetric Systems. - Blanca Ayuso de Dios; Andrew T. Barker; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2014)

Comparative Performance Analysis of Coarse Solvers for Algebraic Multigrid on Multicore and Manycore Architectures. - Alex Druinsky; Pieter Ghysels; Xiaoye S. Li; Osni Marques; Samuel Williams 001; Andrew T. Barker; Delyan Kalchev; Panayot S. Vassilevski (PPAM (1), 2015)

Tuning the Coarse Space Construction in a Spectral AMG Solver. - Osni Marques; Alex Druinsky; Xiaoye S. Li; Andrew T. Barker; Panayot S. Vassilevski; Delyan Kalchev (ICCS, 2016)

A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree. - Xiaozhe Hu; Panayot S. Vassilevski; Jinchao Xu (Numer. Linear Algebra Appl., 2016)

Upscaling of Mixed Finite Element Discretization Problems by the Spectral AMGe Method. - Delyan Kalchev; Chak Shing Lee; Umberto Villa; Yalchin Efendiev; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2016)

Arbitrary dimension convection-diffusion schemes for space-time discretizations. - Randolph E. Bank; Panayot S. Vassilevski; Ludmil T. Zikatanov (J. Comput. Appl. Math., 2017)

Solving Graph Laplacian Systems Through Recursive Partitioning and Two-Grid Preconditioning. - Colin Ponce; Panayot S. Vassilevski (SIAM J. Matrix Anal. Appl., 2017)

Spectral Upscaling for Graph Laplacian Problems with Application to Reservoir Simulation. - Andrew T. Barker; Chak Shing Lee; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2017)

Numerical Multilevel Upscaling for Incompressible Flow in Reservoir Simulation: An Element-Based Algebraic Multigrid (AMGe) Approach. - Max la Cour Christensen; Umberto Villa; Allan Peter Engsig-Karup; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2017)

A Multilevel, Hierarchical Sampling Technique for Spatially Correlated Random Fields. - Sarah Osborn 001; Panayot S. Vassilevski; Umberto Villa (SIAM J. Sci. Comput., 2017)

Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties. - Max la Cour Christensen; Panayot S. Vassilevski; Umberto Villa (J. Comput. Appl. Math., 2018)

Space-time discretizations using constrained first-order system least squares (CFOSLS). - Kirill Voronin; Chak Shing Lee; Martin Neumüller; Paulina Sepúlveda; Panayot S. Vassilevski (J. Comput. Phys., 2018)

Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes. - Sarah Osborn 001; Patrick Zulian; Thomas Benson; Umberto Villa; Rolf Krause; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2018)

The Auxiliary Space Preconditioner for the de Rham Complex. - Jay Gopalakrishnan; Martin Neumüller; Panayot S. Vassilevski (SIAM J. Numer. Anal., 2018)

A Nonlinear Algebraic Multigrid Framework for the Power Flow Equations. - Colin Ponce; David Bindel; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2018)

BootCMatch: A Software Package for Bootstrap AMG Based on Graph Weighted Matching. - Pasqua D'Ambra; Salvatore Filippone; Panayot S. Vassilevski (ACM Trans. Math. Softw., 2018)

Bootstrap AMG for spectral clustering. - Pasqua D'Ambra; Luisa Cutillo; Panayot S. Vassilevski (Comput. Math. Methods, 2019)

DNN Approximation of Nonlinear Finite Element Equations. - Tuyen Tran; Aidan Hamilton; Maricela Best McKay; Benjamin Quiring; Panayot S. Vassilevski (CoRR, 2019)

Improving solve time of aggregation-based adaptive AMG. - Pasqua D'Ambra; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2019)

Modifying AMG Coarse Spaces with Weak Approximation Property to Exhibit Approximation in Energy Norm. - Xiaozhe Hu; Panayot S. Vassilevski (SIAM J. Matrix Anal. Appl., 2019)

Algebraic Hybridization and Static Condensation with Application to Scalable H(div) Preconditioning. - Veselin Dobrev; Tzanio V. Kolev; Chak Shing Lee; Vladimir Z. Tomov; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2019)

Eigenvalue Problems for Exponential-Type Kernels. - Difeng Cai; Panayot S. Vassilevski (Comput. Methods Appl. Math., 2020)

Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems. - Chak Shing Lee; François P. Hamon; Nicola Castelletto; Panayot S. Vassilevski; Joshua A. White (CoRR, 2020)

Auxiliary Space Preconditioning of Finite Element Equations Using a Nonconforming Interior Penalty Reformulation and Static Condensation. - Delyan Z. Kalchev; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2020)

A Condensed Constrained Nonconforming Mortar-Based Approach for Preconditioning Finite Element Discretization Problems. - Delyan Z. Kalchev; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2020)

Numerical results for adaptive (negative norm) constrained first order system least squares formulations. - Andreas Schafelner; Panayot S. Vassilevski (Comput. Math. Appl., 2021)

Parallel Element-based Algebraic Multigrid for H(curl) and H(div) Problems Using the ParELAG Library. - Delyan Z. Kalchev; Panayot S. Vassilevski; Umberto Villa (CoRR, 2021)

Network Clustering by Embedding of Attribute-augmented Graphs. - Pasqua D'Ambra; Clara De Santis; Panayot S. Vassilevski; Luisa Cutillo (CoRR, 2021)

Estimating posterior quantity of interest expectations in a multilevel scalable framework. - Hillary R. Fairbanks; Sarah Osborn 001; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2021)

Multilevel graph embedding. - Benjamin Quiring; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2021)

Multilevel Spectral Coarsening for Graph Laplacian Problems with Application to Reservoir Simulation. - Andrew T. Barker; Stephan V. Gelever; Chak Shing Lee; Sarah V. Osborn; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2021)

Multilevel Hierarchical Decomposition of Finite Element White Noise with Application to Multilevel Markov Chain Monte Carlo. - Hillary R. Fairbanks; Umberto Villa; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2021)

An aggregation-based nonlinear multigrid solver for two-phase flow and transport in porous media. - Chak Shing Lee; François P. Hamon; Nicola Castelletto; Panayot S. Vassilevski; Joshua A. White (Comput. Math. Appl., 2022)

Multilevel-in-Layer Training for Deep Neural Network Regression. - Colin Ponce; Ruipeng Li; Christina Mao; Panayot S. Vassilevski (CoRR, 2022)

Matrix-free GPU-accelerated saddle-point solvers for high-order problems in H(div). - Will Pazner; Tzanio V. Kolev; Panayot S. Vassilevski (CoRR, 2023)

Extending bootstrap AMG for clustering of attributed graphs. - Pasqua D'Ambra; Panayot S. Vassilevski; Luisa Cutillo (Appl. Math. Comput., 2023)

Parallel Element-Based Algebraic Multigrid for ( boldsymbol{H} ) (curl) and ( boldsymbol{H} ) (div) Problems Using the ParELAG Library. - Delyan Z. Kalchev; Panayot S. Vassilevski; Umberto Villa (SIAM J. Sci. Comput., 2023)

Multilevel-in-width training for deep neural network regression. - Colin Ponce; Ruipeng Li; Christina Mao; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2023)

Scalable Multilevel Monte Carlo Methods Exploiting Parallel Redistribution on Coarse Levels. - Hillary R. Fairbanks; Delyan Z. Kalchev; Chak Shing Lee; Panayot S. Vassilevski (CoRR, 2024)

Multilevel well modeling in aggregation-based nonlinear multigrid for multiphase flow in porous media. - Chak Shing Lee; François P. Hamon; Nicola Castelletto; Panayot S. Vassilevski; Joshua A. White (J. Comput. Phys., 2024)

Matrix-Free High-Performance Saddle-Point Solvers for High-Order Problems in ( boldsymbol{H}( operatorname{ textbf{div}}) ). - Will Pazner; Tzanio V. Kolev; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2024)

Editorial. - Panayot S. Vassilevski; Maya G. Neytcheva (Numer. Linear Algebra Appl., 2025)