Panayot S. Vassilevski

Publication Activity (10 Years)

Years Active: 1987-2024
Publications (10 Years): 46

Top Venues

CoRR

SIAM J. Sci. Comput.

Numer. Linear Algebra Appl.

SIAM J. Matrix Anal. Appl.

Publications

Will Pazner, Tzanio V. Kolev, Panayot S. Vassilevski
Matrix-Free High-Performance Saddle-Point Solvers for High-Order Problems in \(\boldsymbol{H}(\operatorname{\textbf{div}})\). SIAM J. Sci. Comput. 46 (3) (2024)
Chak Shing Lee, François P. Hamon, Nicola Castelletto, Panayot S. Vassilevski, Joshua A. White
Multilevel well modeling in aggregation-based nonlinear multigrid for multiphase flow in porous media. J. Comput. Phys. 513 (2024)
Colin Ponce, Ruipeng Li, Christina Mao, Panayot S. Vassilevski
Multilevel-in-width training for deep neural network regression. Numer. Linear Algebra Appl. 30 (5) (2023)
Chak Shing Lee, François P. Hamon, Nicola Castelletto, Panayot S. Vassilevski, Joshua A. White
Multilevel well modeling in aggregation-based nonlinear multigrid for multiphase flow in porous media. CoRR (2023)
Pasqua D'Ambra, Panayot S. Vassilevski, Luisa Cutillo
Extending bootstrap AMG for clustering of attributed graphs. Appl. Math. Comput. 447 (2023)
Delyan Z. Kalchev, Panayot S. Vassilevski, Umberto Villa
Parallel Element-Based Algebraic Multigrid for \(\boldsymbol{H}\) (curl) and \(\boldsymbol{H}\) (div) Problems Using the ParELAG Library. SIAM J. Sci. Comput. 45 (3) (2023)
Will Pazner, Tzanio V. Kolev, Panayot S. Vassilevski
Matrix-free GPU-accelerated saddle-point solvers for high-order problems in H(div). CoRR (2023)
Colin Ponce, Ruipeng Li, Christina Mao, Panayot S. Vassilevski
Multilevel-in-Layer Training for Deep Neural Network Regression. CoRR (2022)
Chak Shing Lee, François P. Hamon, Nicola Castelletto, Panayot S. Vassilevski, Joshua A. White
An aggregation-based nonlinear multigrid solver for two-phase flow and transport in porous media. Comput. Math. Appl. 113 (2022)
Benjamin Quiring, Panayot S. Vassilevski
Multilevel graph embedding. Numer. Linear Algebra Appl. 28 (3) (2021)
Pasqua D'Ambra, Clara De Santis, Panayot S. Vassilevski, Luisa Cutillo
Network Clustering by Embedding of Attribute-augmented Graphs. CoRR (2021)
Andreas Schafelner, Panayot S. Vassilevski
Numerical results for adaptive (negative norm) constrained first order system least squares formulations. Comput. Math. Appl. 95 (2021)
Delyan Z. Kalchev, Panayot S. Vassilevski, Umberto Villa
Parallel Element-based Algebraic Multigrid for H(curl) and H(div) Problems Using the ParELAG Library. CoRR (2021)
Andrew T. Barker, Stephan V. Gelever, Chak Shing Lee, Sarah V. Osborn, Panayot S. Vassilevski
Multilevel Spectral Coarsening for Graph Laplacian Problems with Application to Reservoir Simulation. SIAM J. Sci. Comput. 43 (4) (2021)
Hillary R. Fairbanks, Umberto Villa, Panayot S. Vassilevski
Multilevel Hierarchical Decomposition of Finite Element White Noise with Application to Multilevel Markov Chain Monte Carlo. SIAM J. Sci. Comput. 43 (5) (2021)
Hillary R. Fairbanks, Sarah Osborn, Panayot S. Vassilevski
Estimating posterior quantity of interest expectations in a multilevel scalable framework. Numer. Linear Algebra Appl. 28 (3) (2021)
Chak Shing Lee, François P. Hamon, Nicola Castelletto, Panayot S. Vassilevski, Joshua A. White
An Aggregation-based Nonlinear Multigrid Solver for Two-phase Flow and Transport in Porous Media. CoRR (2021)
Delyan Z. Kalchev, Panayot S. Vassilevski
A Condensed Constrained Nonconforming Mortar-Based Approach for Preconditioning Finite Element Discretization Problems. SIAM J. Sci. Comput. 42 (5) (2020)
Chak Shing Lee, François P. Hamon, Nicola Castelletto, Panayot S. Vassilevski, Joshua A. White
Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems. CoRR (2020)
Hillary R. Fairbanks, Umberto Villa, Panayot S. Vassilevski
Multilevel Hierarchical Decomposition of Finite Element White Noise with Application to Multilevel Markov Chain Monte Carlo. CoRR (2020)
Difeng Cai, Panayot S. Vassilevski
Eigenvalue Problems for Exponential-Type Kernels. Comput. Methods Appl. Math. 20 (1) (2020)
Andrew T. Barker, Stephan V. Gelever, Chak Shing Lee, Sarah V. Osborn, Panayot S. Vassilevski
Multilevel spectral coarsening for graph Laplacian problems with application to reservoir simulation. CoRR (2020)
Delyan Z. Kalchev, Panayot S. Vassilevski
Auxiliary Space Preconditioning of Finite Element Equations Using a Nonconforming Interior Penalty Reformulation and Static Condensation. SIAM J. Sci. Comput. 42 (3) (2020)
Delyan Z. Kalchev, Panayot S. Vassilevski
A Condensed Constrained Nonconforming Mortar-based Approach for Preconditioning Finite Element Discretization Problems. CoRR (2019)
Delyan Z. Kalchev, Panayot S. Vassilevski
Auxiliary Space Preconditioning of Finite Element Equations Using a Nonconforming Interior Penalty Reformulation and Static Condensation. CoRR (2019)
Pasqua D'Ambra, Panayot S. Vassilevski
Improving Solve Time of aggregation-based adaptive AMG. CoRR (2019)
Pasqua D'Ambra, Luisa Cutillo, Panayot S. Vassilevski
Bootstrap AMG for spectral clustering. Comput. Math. Methods 1 (2) (2019)
Xiaozhe Hu, Panayot S. Vassilevski
Modifying AMG Coarse Spaces with Weak Approximation Property to Exhibit Approximation in Energy Norm. SIAM J. Matrix Anal. Appl. 40 (3) (2019)
Pasqua D'Ambra, Panayot S. Vassilevski
Improving solve time of aggregation-based adaptive AMG. Numer. Linear Algebra Appl. 26 (6) (2019)
Tuyen Tran, Aidan Hamilton, Maricela Best McKay, Benjamin Quiring, Panayot S. Vassilevski
DNN Approximation of Nonlinear Finite Element Equations. CoRR (2019)
Veselin Dobrev, Tzanio V. Kolev, Chak Shing Lee, Vladimir Z. Tomov, Panayot S. Vassilevski
Algebraic Hybridization and Static Condensation with Application to Scalable H(div) Preconditioning. SIAM J. Sci. Comput. 41 (3) (2019)
Xiaozhe Hu, Panayot S. Vassilevski
Modifying AMG coarse spaces with weak approximation property to exhibit approximation in energy norm. CoRR (2019)
Jay Gopalakrishnan, Martin Neumüller, Panayot S. Vassilevski
The Auxiliary Space Preconditioner for the de Rham Complex. SIAM J. Numer. Anal. 56 (6) (2018)
Pasqua D'Ambra, Salvatore Filippone, Panayot S. Vassilevski
BootCMatch: A Software Package for Bootstrap AMG Based on Graph Weighted Matching. ACM Trans. Math. Softw. 44 (4) (2018)
Max la Cour Christensen, Panayot S. Vassilevski, Umberto Villa
Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties. J. Comput. Appl. Math. 340 (2018)
Sarah Osborn, Patrick Zulian, Thomas Benson, Umberto Villa, Rolf Krause, Panayot S. Vassilevski
Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes. Numer. Linear Algebra Appl. 25 (3) (2018)
Colin Ponce, David Bindel, Panayot S. Vassilevski
A Nonlinear Algebraic Multigrid Framework for the Power Flow Equations. SIAM J. Sci. Comput. 40 (3) (2018)
Kirill Voronin, Chak Shing Lee, Martin Neumüller, Paulina Sepúlveda, Panayot S. Vassilevski
Space-time discretizations using constrained first-order system least squares (CFOSLS). J. Comput. Phys. 373 (2018)
Sarah Osborn, Panayot S. Vassilevski, Umberto Villa
A Multilevel, Hierarchical Sampling Technique for Spatially Correlated Random Fields. SIAM J. Sci. Comput. 39 (5) (2017)
Colin Ponce, Panayot S. Vassilevski
Solving Graph Laplacian Systems Through Recursive Partitioning and Two-Grid Preconditioning. SIAM J. Matrix Anal. Appl. 38 (2) (2017)
Andrew T. Barker, Chak Shing Lee, Panayot S. Vassilevski
Spectral Upscaling for Graph Laplacian Problems with Application to Reservoir Simulation. SIAM J. Sci. Comput. 39 (5) (2017)
Randolph E. Bank, Panayot S. Vassilevski, Ludmil T. Zikatanov
Arbitrary dimension convection-diffusion schemes for space-time discretizations. J. Comput. Appl. Math. 310 (2017)
Max la Cour Christensen, Umberto Villa, Allan Peter Engsig-Karup, Panayot S. Vassilevski
Numerical Multilevel Upscaling for Incompressible Flow in Reservoir Simulation: An Element-Based Algebraic Multigrid (AMGe) Approach. SIAM J. Sci. Comput. 39 (1) (2017)
Xiaozhe Hu, Panayot S. Vassilevski, Jinchao Xu
A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree. Numer. Linear Algebra Appl. 23 (4) (2016)
Delyan Kalchev, Chak Shing Lee, Umberto Villa, Yalchin Efendiev, Panayot S. Vassilevski
Upscaling of Mixed Finite Element Discretization Problems by the Spectral AMGe Method. SIAM J. Sci. Comput. 38 (5) (2016)
Osni Marques, Alex Druinsky, Xiaoye S. Li, Andrew T. Barker, Panayot S. Vassilevski, Delyan Kalchev
Tuning the Coarse Space Construction in a Spectral AMG Solver. ICCS (2016)
Alex Druinsky, Pieter Ghysels, Xiaoye S. Li, Osni Marques, Samuel Williams, Andrew T. Barker, Delyan Kalchev, Panayot S. Vassilevski
Comparative Performance Analysis of Coarse Solvers for Algebraic Multigrid on Multicore and Manycore Architectures. PPAM (1) (2015)
Ilya Lashuk, Panayot S. Vassilevski
The Construction of the Coarse de Rham Complexes with Improved Approximation Properties. Comput. Methods Appl. Math. 14 (2) (2014)
James H. Adler, Panayot S. Vassilevski
Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods. SIAM J. Sci. Comput. 36 (3) (2014)
Panayot S. Vassilevski, Ludmil T. Zikatanov
Commuting projections on graphs. Numer. Linear Algebra Appl. 21 (3) (2014)
Blanca Ayuso de Dios, Andrew T. Barker, Panayot S. Vassilevski
A Combined Preconditioning Strategy for Nonsymmetric Systems. SIAM J. Sci. Comput. 36 (6) (2014)
Panayot S. Vassilevski, Ulrike Meier Yang
Reducing communication in algebraic multigrid using additive variants. Numer. Linear Algebra Appl. 21 (2) (2014)
Panayot S. Vassilevski, Umberto Villa
A Mixed Formulation for the Brinkman Problem. SIAM J. Numer. Anal. 52 (1) (2014)
Panayot S. Vassilevski, Umberto Villa
A Block-Diagonal Algebraic Multigrid Preconditioner for the Brinkman Problem. SIAM J. Sci. Comput. 35 (5) (2013)
Pasqua D'Ambra, Panayot S. Vassilevski
Adaptive AMG with coarsening based on compatible weighted matching. Comput. Vis. Sci. 16 (2) (2013)
Verena Kuhlemann, Panayot S. Vassilevski
Improving the Communication Pattern in Matrix-Vector Operations for Large Scale-Free Graphs by Disaggregation. SIAM J. Sci. Comput. 35 (5) (2013)
Xiaozhe Hu, Panayot S. Vassilevski, Jinchao Xu
Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid. SIAM J. Numer. Anal. 51 (2) (2013)
Delyan Kalchev, Christian Ketelsen, Panayot S. Vassilevski
Two-Level Adaptive Algebraic Multigrid for a Sequence of Problems with Slowly Varying Random Coefficients. SIAM J. Sci. Comput. 35 (6) (2013)
Robert Scheichl, Panayot S. Vassilevski, Ludmil T. Zikatanov
Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids. SIAM J. Numer. Anal. 50 (3) (2012)
Tzanio V. Kolev, Panayot S. Vassilevski
Parallel Auxiliary Space AMG Solver for H(div) Problems. SIAM J. Sci. Comput. 34 (6) (2012)
Marian Brezina, Petr Vanek, Panayot S. Vassilevski
An improved convergence analysis of smoothed aggregation algebraic multigrid. Numer. Linear Algebra Appl. 19 (3) (2012)
Johannes Kraus, Panayot S. Vassilevski, Ludmil T. Zikatanov
Polynomial of Best Uniform Approximation to 1/x and Smoothing in Two-level Methods. Comput. Methods Appl. Math. 12 (4) (2012)
Ilya Lashuk, Panayot S. Vassilevski
Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties. Numer. Linear Algebra Appl. 19 (2) (2012)
Tzanio V. Kolev, Panayot S. Vassilevski
Regular Decompositions for H(div) Spaces. Comput. Methods Appl. Math. 12 (4) (2012)
Robert Scheichl, Panayot S. Vassilevski, Ludmil T. Zikatanov
Weak Approximation Properties of Elliptic Projections with Functional Constraints. Multiscale Model. Simul. 9 (4) (2011)
Marian Brezina, Panayot S. Vassilevski
Smoothed Aggregation Spectral Element Agglomeration AMG: SA-ρAMGe. LSSC (2011)
Panayot S. Vassilevski
Coarse Spaces by Algebraic Multigrid: Multigrid convergence and Upscaling Error Estimates. Adv. Data Sci. Adapt. Anal. 3 (1-2) (2011)
Ming Gu, Xiaoye S. Li, Panayot S. Vassilevski
Direction-Preserving and Schur-Monotonic Semiseparable Approximations of Symmetric Positive Definite Matrices. SIAM J. Matrix Anal. Appl. 31 (5) (2010)
Panayot S. Vassilevski
General Constrained Energy Minimization Interpolation Mappings for AMG. SIAM J. Sci. Comput. 32 (1) (2010)
Panayot S. Vassilevski, Ludmil T. Zikatanov
Advanced multigrid methods for systems of PDEs. Numer. Linear Algebra Appl. 15 (5) (2008)
Yvan Notay, Panayot S. Vassilevski
Recursive Krylov-based multigrid cycles. Numer. Linear Algebra Appl. 15 (5) (2008)
Marian Brezina, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, Geoffrey Sanders, Panayot S. Vassilevski
A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid. Numer. Linear Algebra Appl. 15 (2-3) (2008)
Tzanio V. Kolev, Joseph E. Pasciak, Panayot S. Vassilevski
H(curl) auxiliary mesh preconditioning. Numer. Linear Algebra Appl. 15 (5) (2008)
Joseph E. Pasciak, Panayot S. Vassilevski
Exact de Rham Sequences of Spaces Defined on Macro-Elements in Two and Three Spatial Dimensions. SIAM J. Sci. Comput. 30 (5) (2008)
Ilya Lashuk, Panayot S. Vassilevski
On some versions of the element agglomeration AMGe method. Numer. Linear Algebra Appl. 15 (7) (2008)
Michael Griebel, Daniel Oeltz, Panayot S. Vassilevski
Space-Time Approximation with Sparse Grids. SIAM J. Sci. Comput. 28 (2) (2006)
Panayot S. Vassilevski, Ludmil T. Zikatanov
Multiple Vector Preserving Interpolation Mappings in Algebraic Multigrid. SIAM J. Matrix Anal. Appl. 27 (4) (2006)
Tzanio V. Kolev, Panayot S. Vassilevski
AMG by element agglomeration and constrained energy minimization interpolation. Numer. Linear Algebra Appl. 13 (9) (2006)
Veselin Dobrev, Raytcho D. Lazarov, Panayot S. Vassilevski, Ludmil T. Zikatanov
Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Numer. Linear Algebra Appl. 13 (9) (2006)
Taejong Kim, Joseph E. Pasciak, Panayot S. Vassilevski
Mesh-independent convergence of the modified inexact Newton method for a second order non-linear problem. Numer. Linear Algebra Appl. 13 (1) (2006)
Panayot S. Vassilevski
2004 Copper Mountain Conference. SIAM J. Sci. Comput. 27 (5) (2006)
Robert D. Falgout, Panayot S. Vassilevski, Ludmil T. Zikatanov
On two-grid convergence estimates. Numer. Linear Algebra Appl. 12 (5-6) (2005)
Panayot S. Vassilevski
Special Issue of NLA On the occasion of the 70th birthday of Owe Axelsson. Numer. Linear Algebra Appl. 12 (5-6) (2005)
Ana H. Iontcheva, Panayot S. Vassilevski
Monotone multigrid methods based on element agglomeration coarsening away from the contact boundary for the Signorini's problem. Numer. Linear Algebra Appl. 11 (2-3) (2004)
Robert D. Falgout, Panayot S. Vassilevski
On Generalizing the Algebraic Multigrid Framework. SIAM J. Numer. Anal. 42 (4) (2004)
Tim Chartier, Robert D. Falgout, Van Enden Henson, Jim E. Jones, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, Panayot S. Vassilevski
Spectral AMGe (ρAMGe). SIAM J. Sci. Comput. 25 (1) (2003)
Edmond Chow, Panayot S. Vassilevski
Multilevel block factorizations in generalized hierarchical bases. Numer. Linear Algebra Appl. 10 (1-2) (2003)
Panayot S. Vassilevski
On the occasion of the 60th birthday of Raytcho Lazarov. Numer. Linear Algebra Appl. 10 (1-2) (2003)
Raytcho D. Lazarov, Joseph E. Pasciak, Joachim Schöberl, Panayot S. Vassilevski
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids. Numerische Mathematik 96 (2) (2003)
Peter N. Brown, Panayot S. Vassilevski, Carol S. Woodward
On Mesh-Independent Convergence of an Inexact Newton-Multigrid Algorithm. SIAM J. Sci. Comput. 25 (2) (2003)
Panayot S. Vassilevski
Sparse matrix element topology with application to AMG(e) and preconditioning. Numer. Linear Algebra Appl. 9 (6-7) (2002)
Panayot S. Vassilevski, Carol S. Woodward
Special issue on 'Solution Methods for Large-Scale Non-linear Problems'. Numer. Linear Algebra Appl. 8 (8) (2001)
Raytcho D. Lazarov, Joseph E. Pasciak, Panayot S. Vassilevski
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Numer. Linear Algebra Appl. 8 (1) (2001)
Chisup Kim, Raytcho D. Lazarov, Joseph E. Pasciak, Panayot S. Vassilevski
Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions. SIAM J. Numer. Anal. 39 (2) (2001)
Van Emden Henson, Panayot S. Vassilevski
Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG. SIAM J. Sci. Comput. 23 (2) (2001)
Jim E. Jones, Panayot S. Vassilevski
AMGE Based on Element Agglomeration. SIAM J. Sci. Comput. 23 (1) (2001)
Veselin Dobrev, Panayot S. Vassilevski
Local Refinement in Non-overlapping Domain Decomposition. NAA (2000)
James H. Bramble, Joseph E. Pasciak, Panayot S. Vassilevski
Computational scales of Sobolev norms with application to preconditioning. Math. Comput. 69 (230) (2000)
Volker John, Gunar Matthies, Teodora Mitkova, Lutz Tobiska, Panayot S. Vassilevski
A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations. LSSC (1999)
So-Hsiang Chou, Panayot S. Vassilevski
A general mixed covolume framework for constructing conservative schemes for elliptic problems. Math. Comput. 68 (227) (1999)

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Publication Activity (10 Years)

Top Topics

Top Venues

Panayot S. Vassilevski