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D-Index & Metrics

Mathematics

D-Index
42
Citations
6797
World Ranking
1803
National Ranking
771

Research.com Recognitions

  • 2018 - SIAM Fellow For designing algebraic approaches for creating and analyzing multilevel algorithms.

Overview

Panayot S. Vassilevski is affiliated with Lawrence Livermore National Laboratory in the United States, contributing extensively to the fields of Engineering and Computer Science. Their research spans a variety of subfields including Computational Mechanics, Computational Theory and Mathematics, Artificial Intelligence, Statistical and Nonlinear Physics, and Electrical and Electronic Engineering.

The primary research topics covered by their work include Advanced Numerical Methods in Computational Mathematics, Advanced Mathematical Modeling in Engineering, Matrix Theory and Algorithms, Electromagnetic Simulation and Numerical Methods, Complex Network Analysis Techniques, Advanced Graph Neural Networks, and Probabilistic and Robust Engineering Design.

Frequent collaborators in their research include Chak Shing Lee, François P. Hamon, Nicola Castelletto, Delyan Z. Kalchev, and Sarah Osborn.

Their publication record features papers in prominent venues such as arXiv (Cornell University), SIAM Journal on Scientific Computing, Numerical Linear Algebra with Applications, Computers & Mathematics with Applications, and Computer Methods in Applied Mechanics and Engineering.

Selected recent papers published by Panayot S. Vassilevski include:

  • Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes: Scalable hierarchical PDE sampler using nonmatching meshes (2022), published in OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
  • Multilevel graph embedding (2020), published in Numerical Linear Algebra with Applications
  • Matrix-Free High-Performance Saddle-Point Solvers for High-Order Problems in H(div) (2024), published in SIAM Journal on Scientific Computing
  • Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems (2020), published in Computer Methods in Applied Mechanics and Engineering
  • Estimating posterior quantity of interest expectations in a multilevel scalable framework (2020), published in Numerical Linear Algebra with Applications

They have been recognized as a SIAM Fellow in 2018 for designing algebraic approaches for creating and analyzing multilevel algorithms.

Best Publications

  • Algebraic multilevel preconditioning methods. I

    O. Axclsson;P. S. Vassilevski

  • Multilevel Block Factorization Preconditioners: Matrix-based Analysis and Algorithms for Solving Finite Element Equations

    Panayot S Vassilevski

  • Algebraic multilevel preconditioning methods, II

    O. Axelsson;P. S. VAssilevski

  • Finite volume methods for convection-diffusion problems

    R. D. Lazarov;Ilya D. Mishev;P. S. Vassilevski

  • On Generalizing the Algebraic Multigrid Framework

    Robert D. Falgout;Panayot S. Vassilevski

  • AMG E Based on Element Agglomeration

    Jim E. Jones;Panayot S. Vassilevski

  • A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning

    O. Axelsson;P. S. Vassilevski

  • The role of the strengthened Cauchy-Buniakowskii-Schwarz inequality in multilevel methods

    Victor Eijkhout;Panayot Vassilevski

  • Local refinement techniques for elliptic problems on cell-centered grids. I. Error analysis

    R. E. Ewing;R. D. Lazarov;P. S. Vassilevski

  • Recursive Krylov‐based multigrid cycles

    Yvan Notay;Panayot S. Vassilevski

  • On two‐grid convergence estimates

    Robert D. Falgout;Panayot S. Vassilevski;Ludmil Tomov Zikatanov

  • Spectral AMGe ($ ho$AMGe)

    T. Chartier;R. D. Falgout;V. E. Henson;J. Jones

  • Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions

    Chisup Kim;Raytcho D. Lazarov;Joseph E. Pasciak

  • PARALLEL AUXILIARY SPACE AMG FOR H(curl) PROBLEMS

    Tzanio V. Kolev;Panayot S. Vassilevski

  • Computational scales of Sobolev norms with application to preconditioning

    James H. Bramble;Joseph E. Pasciak;Panayot S. Vassilevski;Panayot S. Vassilevski

  • Mixed finite element methods for incompressible flow: Stationary Stokes equations

    Zhiqiang Cai;Charles Tong;Panayot S. Vassilevski;Chunbo Wang

  • Two‐level preconditioning of discontinuous Galerkin approximations of second‐order elliptic equations

    Veselin A. Dobrev;Raytcho D. Lazarov;Raytcho D. Lazarov;Panayot S. Vassilevski;Ludmil T. Zikatanov

  • A general mixed covolume framework for constructing conservative schemes for elliptic problems

    So-Hsiang Chou;Panayot S. Vassilevski

  • Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG

    Van Emden Henson;Panayot S. Vassilevski

  • Multilevel iterative methods for mixed finite element discretizations of elliptic problems

    Panayot S. Vassilevski;Junping Wang

  • Local refinement techniques for elliptic problems on cell-centered grids

    R. E. Ewing;R. D. Lazarov;P. S. Vassilevski

  • 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

Frequent Co-Authors

Raytcho Lazarov
Raytcho Lazarov Texas A&M University
Joseph E. Pasciak
Joseph E. Pasciak Texas A&M University
Richard E. Ewing
Richard E. Ewing Texas A&M University
Thomas A. Manteuffel
Thomas A. Manteuffel University of Colorado Boulder
Randolph E. Bank
Randolph E. Bank University of California, San Diego
Robert D. Falgout
Robert D. Falgout Lawrence Livermore National Laboratory
Xiaoye S. Li
Xiaoye S. Li Lawrence Berkeley National Laboratory
Yalchin Efendiev
Yalchin Efendiev Texas A&M University
Jinchao Xu
Jinchao Xu Pennsylvania State University
Ragnar Winther
Ragnar Winther University of Oslo

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