default search action
Panayot S. Vassilevski
Person information
- affiliation: Lawrence Livermore National Laboratory
Refine list
refinements active!
zoomed in on ?? of ?? records
view refined list in
export refined list as
2020 – today
- 2024
- [j105]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: 113163 (2024) - [j104]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): 179- (2024) - [i15]Hillary R. Fairbanks, Delyan Z. Kalchev, Chak Shing Lee, Panayot S. Vassilevski:
Scalable Multilevel Monte Carlo Methods Exploiting Parallel Redistribution on Coarse Levels. CoRR abs/2408.02241 (2024) - 2023
- [j103]Pasqua D'Ambra, Panayot S. Vassilevski, Luisa Cutillo:
Extending bootstrap AMG for clustering of attributed graphs. Appl. Math. Comput. 447: 127904 (2023) - [j102]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) - [j101]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): S371-S400 (2023) - [i14]Will Pazner, Tzanio V. Kolev, Panayot S. Vassilevski:
Matrix-free GPU-accelerated saddle-point solvers for high-order problems in H(div). CoRR abs/2304.12387 (2023) - [i13]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 abs/2308.00125 (2023) - 2022
- [j100]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: 282-299 (2022) - [i12]Colin Ponce, Ruipeng Li, Christina Mao, Panayot S. Vassilevski:
Multilevel-in-Layer Training for Deep Neural Network Regression. CoRR abs/2211.06515 (2022) - 2021
- [j99]Andreas Schafelner, Panayot S. Vassilevski:
Numerical results for adaptive (negative norm) constrained first order system least squares formulations. Comput. Math. Appl. 95: 256-270 (2021) - [j98]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) - [j97]Benjamin Quiring, Panayot S. Vassilevski:
Multilevel graph embedding. Numer. Linear Algebra Appl. 28(3) (2021) - [j96]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): A2737-A2765 (2021) - [j95]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): S293-S316 (2021) - [i11]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 abs/2107.05613 (2021) - [i10]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 abs/2109.07546 (2021) - [i9]Pasqua D'Ambra, Clara De Santis, Panayot S. Vassilevski, Luisa Cutillo:
Network Clustering by Embedding of Attribute-augmented Graphs. CoRR abs/2109.09367 (2021) - 2020
- [j94]Difeng Cai, Panayot S. Vassilevski:
Eigenvalue Problems for Exponential-Type Kernels. Comput. Methods Appl. Math. 20(1): 61-78 (2020) - [j93]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): A1741-A1764 (2020) - [j92]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): A3136-A3156 (2020) - [i8]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 abs/2003.04423 (2020) - [i7]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 abs/2005.01275 (2020) - [i6]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 abs/2007.14440 (2020)
2010 – 2019
- 2019
- [j91]Pasqua D'Ambra, Luisa Cutillo, Panayot S. Vassilevski:
Bootstrap AMG for spectral clustering. Comput. Math. Methods 1(2) (2019) - [j90]Pasqua D'Ambra, Panayot S. Vassilevski:
Improving solve time of aggregation-based adaptive AMG. Numer. Linear Algebra Appl. 26(6) (2019) - [j89]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): 1131-1152 (2019) - [j88]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): B425-B447 (2019) - [i5]Xiaozhe Hu, Panayot S. Vassilevski:
Modifying AMG coarse spaces with weak approximation property to exhibit approximation in energy norm. CoRR abs/1906.08186 (2019) - [i4]Pasqua D'Ambra, Panayot S. Vassilevski:
Improving Solve Time of aggregation-based adaptive AMG. CoRR abs/1907.04417 (2019) - [i3]Delyan Z. Kalchev, Panayot S. Vassilevski:
Auxiliary Space Preconditioning of Finite Element Equations Using a Nonconforming Interior Penalty Reformulation and Static Condensation. CoRR abs/1910.06986 (2019) - [i2]Tuyen Tran, Aidan Hamilton, Maricela Best McKay, Benjamin Quiring, Panayot S. Vassilevski:
DNN Approximation of Nonlinear Finite Element Equations. CoRR abs/1911.05240 (2019) - [i1]Delyan Z. Kalchev, Panayot S. Vassilevski:
A Condensed Constrained Nonconforming Mortar-based Approach for Preconditioning Finite Element Discretization Problems. CoRR abs/1912.05441 (2019) - 2018
- [j87]Max la Cour Christensen, Panayot S. Vassilevski, Umberto Villa:
Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties. J. Comput. Appl. Math. 340: 691-708 (2018) - [j86]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: 863-876 (2018) - [j85]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) - [j84]Jay Gopalakrishnan, Martin Neumüller, Panayot S. Vassilevski:
The Auxiliary Space Preconditioner for the de Rham Complex. SIAM J. Numer. Anal. 56(6): 3196-3218 (2018) - [j83]Colin Ponce, David Bindel, Panayot S. Vassilevski:
A Nonlinear Algebraic Multigrid Framework for the Power Flow Equations. SIAM J. Sci. Comput. 40(3) (2018) - [j82]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): 39:1-39:25 (2018) - 2017
- [j81]Randolph E. Bank, Panayot S. Vassilevski, Ludmil T. Zikatanov:
Arbitrary dimension convection-diffusion schemes for space-time discretizations. J. Comput. Appl. Math. 310: 19-31 (2017) - [j80]Colin Ponce, Panayot S. Vassilevski:
Solving Graph Laplacian Systems Through Recursive Partitioning and Two-Grid Preconditioning. SIAM J. Matrix Anal. Appl. 38(2): 621-648 (2017) - [j79]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) - [j78]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) - [j77]Sarah Osborn, Panayot S. Vassilevski, Umberto Villa:
A Multilevel, Hierarchical Sampling Technique for Spatially Correlated Random Fields. SIAM J. Sci. Comput. 39(5) (2017) - 2016
- [j76]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): 746-771 (2016) - [j75]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) - [c10]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: 212-221 - 2015
- [c9]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: 116-127 - 2014
- [j74]Ilya Lashuk, Panayot S. Vassilevski:
The Construction of the Coarse de Rham Complexes with Improved Approximation Properties. Comput. Methods Appl. Math. 14(2): 257-303 (2014) - [j73]Panayot S. Vassilevski, Ulrike Meier Yang:
Reducing communication in algebraic multigrid using additive variants. Numer. Linear Algebra Appl. 21(2): 275-296 (2014) - [j72]Panayot S. Vassilevski, Ludmil T. Zikatanov:
Commuting projections on graphs. Numer. Linear Algebra Appl. 21(3): 297-315 (2014) - [j71]Panayot S. Vassilevski, Umberto Villa:
A Mixed Formulation for the Brinkman Problem. SIAM J. Numer. Anal. 52(1): 258-281 (2014) - [j70]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) - [j69]Blanca Ayuso de Dios, Andrew T. Barker, Panayot S. Vassilevski:
A Combined Preconditioning Strategy for Nonsymmetric Systems. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- [j68]Pasqua D'Ambra, Panayot S. Vassilevski:
Adaptive AMG with coarsening based on compatible weighted matching. Comput. Vis. Sci. 16(2): 59-76 (2013) - [j67]Xiaozhe Hu, Panayot S. Vassilevski, Jinchao Xu:
Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid. SIAM J. Numer. Anal. 51(2): 1349-1369 (2013) - [j66]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) - [j65]Panayot S. Vassilevski, Umberto Villa:
A Block-Diagonal Algebraic Multigrid Preconditioner for the Brinkman Problem. SIAM J. Sci. Comput. 35(5) (2013) - [j64]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) - 2012
- [j63]Tzanio V. Kolev, Panayot S. Vassilevski:
Regular Decompositions for H(div) Spaces. Comput. Methods Appl. Math. 12(4): 437-447 (2012) - [j62]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): 448-468 (2012) - [j61]Ilya Lashuk, Panayot S. Vassilevski:
Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties. Numer. Linear Algebra Appl. 19(2): 414-426 (2012) - [j60]Marian Brezina, Petr Vanek, Panayot S. Vassilevski:
An improved convergence analysis of smoothed aggregation algebraic multigrid. Numer. Linear Algebra Appl. 19(3): 441-469 (2012) - [j59]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): 1675-1694 (2012) - [j58]Tzanio V. Kolev, Panayot S. Vassilevski:
Parallel Auxiliary Space AMG Solver for H(div) Problems. SIAM J. Sci. Comput. 34(6) (2012) - 2011
- [j57]Panayot S. Vassilevski:
Coarse Spaces by Algebraic Multigrid: Multigrid convergence and Upscaling Error Estimates. Adv. Data Sci. Adapt. Anal. 3(1-2): 229-249 (2011) - [j56]Robert Scheichl, Panayot S. Vassilevski, Ludmil T. Zikatanov:
Weak Approximation Properties of Elliptic Projections with Functional Constraints. Multiscale Model. Simul. 9(4): 1677-1699 (2011) - [c8]Marian Brezina, Panayot S. Vassilevski:
Smoothed Aggregation Spectral Element Agglomeration AMG: SA-ρAMGe. LSSC 2011: 3-15 - 2010
- [j55]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): 2650-2664 (2010) - [j54]Panayot S. Vassilevski:
General Constrained Energy Minimization Interpolation Mappings for AMG. SIAM J. Sci. Comput. 32(1): 1-13 (2010)
2000 – 2009
- 2008
- [j53]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): 249-269 (2008) - [j52]Panayot S. Vassilevski, Ludmil T. Zikatanov:
Advanced multigrid methods for systems of PDEs. Numer. Linear Algebra Appl. 15(5): 393 (2008) - [j51]Tzanio V. Kolev, Joseph E. Pasciak, Panayot S. Vassilevski:
H(curl) auxiliary mesh preconditioning. Numer. Linear Algebra Appl. 15(5): 455-471 (2008) - [j50]Yvan Notay, Panayot S. Vassilevski:
Recursive Krylov-based multigrid cycles. Numer. Linear Algebra Appl. 15(5): 473-487 (2008) - [j49]Ilya Lashuk, Panayot S. Vassilevski:
On some versions of the element agglomeration AMGe method. Numer. Linear Algebra Appl. 15(7): 595-620 (2008) - [j48]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): 2427-2446 (2008) - 2006
- [j47]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): 23-47 (2006) - [j46]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): 753-770 (2006) - [j45]Tzanio V. Kolev, Panayot S. Vassilevski:
AMG by element agglomeration and constrained energy minimization interpolation. Numer. Linear Algebra Appl. 13(9): 771-788 (2006) - [j44]Panayot S. Vassilevski, Ludmil T. Zikatanov:
Multiple Vector Preserving Interpolation Mappings in Algebraic Multigrid. SIAM J. Matrix Anal. Appl. 27(4): 1040-1055 (2006) - [j43]Panayot S. Vassilevski:
2004 Copper Mountain Conference. SIAM J. Sci. Comput. 27(5) (2006) - [j42]Michael Griebel, Daniel Oeltz, Panayot S. Vassilevski:
Space-Time Approximation with Sparse Grids. SIAM J. Sci. Comput. 28(2): 701-727 (2006) - 2005
- [j41]Panayot S. Vassilevski:
Special Issue of NLA On the occasion of the 70th birthday of Owe Axelsson. Numer. Linear Algebra Appl. 12(5-6): 391-392 (2005) - [j40]Robert D. Falgout, Panayot S. Vassilevski, Ludmil T. Zikatanov:
On two-grid convergence estimates. Numer. Linear Algebra Appl. 12(5-6): 471-494 (2005) - 2004
- [j39]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): 189-204 (2004) - [j38]Robert D. Falgout, Panayot S. Vassilevski:
On Generalizing the Algebraic Multigrid Framework. SIAM J. Numer. Anal. 42(4): 1669-1693 (2004) - 2003
- [j37]Panayot S. Vassilevski:
On the occasion of the 60th birthday of Raytcho Lazarov. Numer. Linear Algebra Appl. 10(1-2): 1 (2003) - [j36]Edmond Chow, Panayot S. Vassilevski:
Multilevel block factorizations in generalized hierarchical bases. Numer. Linear Algebra Appl. 10(1-2): 105-127 (2003) - [j35]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): 295-315 (2003) - [j34]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): 1-26 (2003) - [j33]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): 570-590 (2003) - 2002
- [j32]Panayot S. Vassilevski:
Sparse matrix element topology with application to AMG(e) and preconditioning. Numer. Linear Algebra Appl. 9(6-7): 429-444 (2002) - 2001
- [j31]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): 13-31 (2001) - [j30]Panayot S. Vassilevski, Carol S. Woodward:
Special issue on 'Solution Methods for Large-Scale Non-linear Problems'. Numer. Linear Algebra Appl. 8(8): 497 (2001) - [j29]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): 519-538 (2001) - [j28]Jim E. Jones, Panayot S. Vassilevski:
AMGE Based on Element Agglomeration. SIAM J. Sci. Comput. 23(1): 109-133 (2001) - [j27]Van Emden Henson, Panayot S. Vassilevski:
Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG. SIAM J. Sci. Comput. 23(2): 629-650 (2001) - 2000
- [j26]James H. Bramble, Joseph E. Pasciak, Panayot S. Vassilevski:
Computational scales of Sobolev norms with application to preconditioning. Math. Comput. 69(230): 463-480 (2000) - [c7]Veselin Dobrev, Panayot S. Vassilevski:
Local Refinement in Non-overlapping Domain Decomposition. NAA 2000: 253-264
1990 – 1999
- 1999
- [j25]So-Hsiang Chou, Panayot S. Vassilevski:
A general mixed covolume framework for constructing conservative schemes for elliptic problems. Math. Comput. 68(227): 991-1011 (1999) - [j24]So-Hsiang Chou, Do Y. Kwak, Panayot S. Vassilevski:
Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-Diffusion Problems. SIAM J. Sci. Comput. 21(1): 145-165 (1999) - [c6]Raytcho D. Lazarov, Joseph E. Pasciak, Panayot S. Vassilevski:
Mixed Finite Element Methods for Elliptic Problems on Non-Matching Grids. LSSC 1999: 25-35 - [c5]Volker John, Gunar Matthies, Teodora Mitkova, Lutz Tobiska, Panayot S. Vassilevski:
A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations. LSSC 1999: 215-222 - 1998
- [j23]Torgeir Rusten, Panayot S. Vassilevski, Ragnar Winther:
Domain embedding preconditioners for mixed systems. Numer. Linear Algebra Appl. 5(5): 321-345 (1998) - [j22]Maya G. Neytcheva, Panayot S. Vassilevski:
Preconditioning of Indefinite and Almost Singular Finite Element Elliptic Equations. SIAM J. Sci. Comput. 19(5): 1471-1485 (1998) - [j21]Panayot S. Vassilevski, Junping Wang:
Stabilizing the Hierarchical Basis by Approximate Wavelets II: Implementation and Numerical Results. SIAM J. Sci. Comput. 20(2): 490-514 (1998) - 1997
- [j20]Panayot S. Vassilevski, Junping Wang:
Stabilizing the Hierarchical Basis by Approximate Wavelets, I: Theory. Numer. Linear Algebra Appl. 4(2): 103-126 (1997) - [j19]Panayot S. Vassilevski:
On Two Ways of Stabilizing the Hierarchical Basis Multilevel Methods. SIAM Rev. 39(1): 18-53 (1997) - [j18]Tony F. Chan, Svetozar Margenov, Panayot S. Vassilevski:
Performance of Block-ILU Factorization Preconditioners Based on Block-Size Reduction for 2D Elasticity Systems. SIAM J. Sci. Comput. 18(5): 1355-1366 (1997) - [c4]Einar Haug, Torgeir Rusten, Panayot S. Vassilevski, Ragnar Winther:
Domain Embedding and the Dirichlet Problem. LSSC 1997: 66-77 - [c3]Svetozar Margenov, Panayot S. Vassilevski:
Algebraic Two-Level Preconditioning of Non-Conforming FEM Systems. LSSC 1997: 239-250 - [e1]Michael Griebel, Oleg P. Iliev, Svetozar Margenov, Panayot S. Vassilevski:
Large-Scale Scientific Computation for Engineering and Environmental Problems, LSSC'97, Varna, Bulgaria, 7-11 June 1997. Notes on Numerical Fluid Mechanics 62, Vieweg 1997 [contents] - 1996
- [j17]Torgeir Rusten, Panayot S. Vassilevski, Ragnar Winther:
Interior penalty preconditioners for mixed finite element approximations of elliptic problems. Math. Comput. 65(214): 447-466 (1996) - [j16]Panayot S. Vassilevski, Raytcho D. Lazarov:
Preconditioning Mixed Finite Element Saddle-point Elliptic Problems. Numer. Linear Algebra Appl. 3(1): 1-20 (1996) - [c2]Svetozara Petrova, Panayot S. Vassilevski:
A Variational Parameters-to-Estimate-Free Nonlinear Solver. WNAA 1996: 396-405 - 1995
- [j15]Wlodzimierz Proskurowski, Panayot S. Vassilevski:
Preconditioning Nonsymmetric and Indefinite Capacitance Matrix Problems in Domain Imbedding. SIAM J. Sci. Comput. 16(2): 414-430 (1995) - [j14]Graham F. Carey, Atanas I. Pehlivanov, Panayot S. Vassilevski:
Least-Squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems: II. Performance of Block-ILU Factorization Methods. SIAM J. Sci. Comput. 16(5): 1126-1136 (1995) - 1994
- [j13]R. D. Lararov, I. D. Mishev, Panayot S. Vassilevski:
Finite volume methods with local refinement for convection-diffusion problems. Computing 53(1): 33-57 (1994) - [j12]Ivan Lirkov, Svetozar Margenov, Panayot S. Vassilevski:
Circulant block-factorization preconditioners for elliptic problems. Computing 53(1): 59-74 (1994) - [j11]Owe Axelsson, Panayot S. Vassilevski:
Variable-step multilevel preconditioning methods, I: Self-adjoint and positive definite elliptic problems. Numer. Linear Algebra Appl. 1(1): 75-101 (1994) - [j10]Richard E. Ewing, Raytcho D. Lazarov, Panayot S. Vassilevski:
Local refinement techniques for elliptic problems on cell-centered grids; II. Optimal order two-grid iterative methods. Numer. Linear Algebra Appl. 1(4): 337-368 (1994) - [j9]Wlodek Proskurowski, Panayot S. Vassilevski:
Preconditioning Capacitance Matrix Problems in Domain Imbedding. SIAM J. Sci. Comput. 15(1): 77-88 (1994) - [j8]Richard E. Ewing, Svetozara I. Petrova, Panayot S. Vassilevski:
Two-Level Local Refinement Preconditioners for Nonsymmetric and Indefinite Elliptic Problems. SIAM J. Sci. Comput. 15(1): 149-163 (1994) - [j7]Svetozar Margenov, Panayot S. Vassilevski:
Algebraic Multilevel Preconditioning of Anisotropic Elliptic Problems. SIAM J. Sci. Comput. 15(5): 1026-1037 (1994) - 1992
- [j6]Panayot S. Vassilevski, Maya H. Etova:
Computation of Constants in the Strengthened Cauchy Inequality for Elliptic Bilinear Forms with Anisotropy. SIAM J. Sci. Comput. 13(3): 655-665 (1992) - [j5]Panayot S. Vassilevski, Svetozara I. Petrova, Raytcho D. Lazarov:
Finite Difference Schemes on Triangular Cell-Centered Grids with Local Refinement. SIAM J. Sci. Comput. 13(6): 1287-1313 (1992) - 1991
- [j4]Victor Eijkhout, Panayot S. Vassilevski:
The Role of the Strengthened Cauchy-Buniakowskii-Schwarz Inequality in Multilevel Methods. SIAM Rev. 33(3): 405-419 (1991) - 1990
- [j3]Panayot S. Vassilevski:
On some ways of approximating inverses of banded matrices in connection with deriving preconditioners based on incomplete block factorizations. Computing 43(3): 277-296 (1990) - [j2]Richard E. Ewing, Raytcho D. Lazarov, Panayot S. Vassilevski:
Finite difference schemes on grids with local refinement in time and space for parabolic problems I. Derivation, stability, and error analysis. Computing 45(3): 193-215 (1990)
1980 – 1989
- 1989
- [j1]Victor Eijkhout, Panayot S. Vassilevski:
Positive definiteness aspects of vectorizable preconditioners. Parallel Comput. 10(1): 93-100 (1989) - 1987
- [c1]Raytcho D. Lazarov, Panayot S. Vassilevski, Svetozar Margenov:
Solving Elliptic Problems by the Domain Decomposition Method Using Proconditioning Matrices Derived by Multilevel Splitting of the Finite Element Matrix. ICS 1987: 826-835
Coauthor Index
aka: Delyan Z. Kalchev
manage site settings
To protect your privacy, all features that rely on external API calls from your browser are turned off by default. You need to opt-in for them to become active. All settings here will be stored as cookies with your web browser. For more information see our F.A.Q.
Unpaywalled article links
Add open access links from to the list of external document links (if available).
Privacy notice: By enabling the option above, your browser will contact the API of unpaywall.org to load hyperlinks to open access articles. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Unpaywall privacy policy.
Archived links via Wayback Machine
For web page which are no longer available, try to retrieve content from the of the Internet Archive (if available).
Privacy notice: By enabling the option above, your browser will contact the API of archive.org to check for archived content of web pages that are no longer available. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Internet Archive privacy policy.
Reference lists
Add a list of references from , , and to record detail pages.
load references from crossref.org and opencitations.net
Privacy notice: By enabling the option above, your browser will contact the APIs of crossref.org, opencitations.net, and semanticscholar.org to load article reference information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Crossref privacy policy and the OpenCitations privacy policy, as well as the AI2 Privacy Policy covering Semantic Scholar.
Citation data
Add a list of citing articles from and to record detail pages.
load citations from opencitations.net
Privacy notice: By enabling the option above, your browser will contact the API of opencitations.net and semanticscholar.org to load citation information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the OpenCitations privacy policy as well as the AI2 Privacy Policy covering Semantic Scholar.
OpenAlex data
Load additional information about publications from .
Privacy notice: By enabling the option above, your browser will contact the API of openalex.org to load additional information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the information given by OpenAlex.
last updated on 2024-09-13 00:41 CEST by the dblp team
all metadata released as open data under CC0 1.0 license
see also: Terms of Use | Privacy Policy | Imprint