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Panayot S Vassilevski
Email: vassilevski1@llnl.gov
Phone: 925-423-5685
Fax: 925-422-6287
Mailing address:
Panayot S Vassilevski
Lawrence Livermore National Laboratory
Box 808, L-560
Livermore, CA 94551-0808
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Panayot S. Vassilevski is a computational mathematician at CASC. His research interests include numerical linear algebra and finite element methods at large, and in particular preconditioned iterative methods, multilevel and domain decomposition methods, as well as the derivation and analysis of discretization schemes for partial differential equations. He is the co-editor (second editor-in-chief) for the journal Numerical Linear Algebra with Applications. He also served two terms as a member of the editorial board for the SIAM Journal on Numerical Analysis and one term for the SIAM Journal on Multiscale Modeling and Simulation.
Dr. Vassilevski joined LLNL in March 1998. He received his Ph.D. in Mathematics from the St. Kliment Ohridski University of Sofia in 1984. Prior to joining LLNL, he held a number of visiting faculty positions at UCLA (1991-1993), Texas A&M University (spring 1996), Bowling Green State Univesrity (spring 1997) and UCSD (spring 1998). Here at CASC, Dr. Vassilevski is mostly involved with the Scalable Linear Solvers project and partially with the hypre project.
Panayot works on these projects: Scalable Linear Solvers.
Selected Publications
Panayot S. Vassilevski and Ludmil T. Zikatanov, "Multiple Vector Preserving Interpolation Mappings in Algebraic Multigrid," submitted to SIAM Journal on Matrix Analsysis and Applications, 2004. Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JRNL-208036, November 2004.
Taejong Kim, Joseph E. Pasciak, and Panayot S. Vassilevski , "'Mesh independent convergence of the modified inexact Newton method for a second order nonlinear problem," submitted to Numerical Linear Algebra with Applications, 2004. Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JRNL-206774, September 2004.
Robert D. Falgout, Panayot S. Vassilevski and Ludmil T. Zikatanov, "On Two-grid Convergence Estimates," Numerical Linear Algebra with Applications, 2005. Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JRNL-203843, April 2004.
Robert D. Falgout and Panayot S. Vassilevski, "On Generalizing the Algebraic Multigrid Framework," SIAM Journal on Numerical Analysis 42(2004) pp. 1669-1693. Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-150807.
A. H. Iontcheva and P.S Vassilevski, "Monotone Multigrid Methods Based on Element Agglomeration Coarsening Away from the Contact Boundary for the Signorini's Problem," Numerical Linear Algebra with Applications 11(2004), pp. 189-204. Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-153352.
Brown, P.N., P.S. Vassilevski, and C.S. Woodward, "On mesh--independent convergence of an inexact Newton--multigrid algorithm," SIAM Journal on Scientific Computing , 25 (2003), pp. 570-590. Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-148376..
Vassilevski, P.S. "Sparse matrix element topology with application to AMG and preconditioning," Numerical Linear Algebra with Applications (in press), 2002.
Chow, E. and P.S. Vassilevski, "Multilevel Block Factorizations in Generalized Hierarachical Bases," submitted to Numerical Linear Algebra with Applications. Also available as Lawrence Livermore National Laboratory technical report UCRL-JC-146803, January 2002.
Lazarov, R.D., J.E. Pasciak, J. Schoeberl, and P.S. Vassilevski, "Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids," submitted (2001).
Henson, V.E. and P.S. Vassilevski, "Element-free AMGe: General Algorithms for Computing Interpolation Weights," SIAM Journal on Scientific Computing , 23 (2001), pp. 629-650. Available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-137243, April 2000.
Kim, C., R.D. Lazarov, J.E. Pasciak, and P.S. Vassilevski, "Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions," SIAM Journal of Numerical Analysis, 39 (2001), pp. 519-538. Available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-137239, January 2000.
Lazarov, R.D., S.Z. Tomov, and P.S. Vassilevski, "Interior Penalty Discontinuous Approximations of Elliptic Problems," Computational Methods in Applied Mathematics, 1 (2001), pp. 367-382.
Jones, J.E. and P.S. Vassilevski, "AMGe Based on Element Agglomerations," SIAM Journal on Scientific Computing , 23 (2001), pp. 109-133. Available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-135441, August 1999.
Lazarov, R.D., J.E. Pasciak, and P.S. Vassilevski, "Iterative Solution of a Coupled Mixed and Standard Galerkin Discretization Method for Elliptic Problems," Numer. Linear Algebra Appl. 8 (2001), pp. 13-31. Available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-134159, May 1999.
Bramble, J.H., J.E. Pasciak, and P.S. Vassilevski, "Computational Scales of Sobolev Norms with Application to Preconditioning," Math. Comp. 69 (2000), pp. 463-480.
Chou, S.H. and P.S. Vassilevski, "A General Mixed Co-volume Framework for Constructing Conservative Schemes for Elliptic Problems," Math. Comp. 68 (1999), pp. 991-1011.
Vassilevski, P.S. and J. Wang, "Stabilizing the Hierarchical Basis by Approximate Wavelets, II: Implementation and Numerical Results," SIAM J. Sci. Comput. 20 (1999), pp. 490-514.
Rusten, T., P.S. Vassilevski, and R. Winther, "Domain Embedding Preconditioners for Mixed Systems," Numer. Lin. Alg. with Appl. 5 (1998), pp. 321-345.
Vassilevski, P.S. and J. Wang, "Stabilizing the Hierarchical Basis by Approximate Wavelets, I: Theory," Numer. Linear Alg. Appl. 4 (1997), pp. 103-126.
Vassilevski, P.S., "On Two Ways of Stabilizing the HB Multilevel Methods," SIAM Review 39 (1997), pp. 18-53.
Rusten, T., P.S. Vassilevski, and R. Winther, "Interior Penalty Preconditioners for Mixed Finite Element Approximations of Elliptic Problems," Math. Comp. 65 (1996), pp. 447-466.
Updated: 2008-05-13 15:46:55
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