publications

journal articles

Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations

Alexey Voronin, Graham Harper , Scott MacLachlan , and 2 more authors

2024

@article{voronin2024highordermg,
  title = {Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations},
  author = {Voronin, Alexey and Harper, Graham and MacLachlan, Scott and Olson, Luke N. and Tuminaro, Raymond S.},
  year = {2024},
  eprint = {2407.07253},
  archiveprefix = {arXiv},
  primaryclass = {math.NA},
  url = {https://arxiv.org/abs/2407.07253},
}

Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations

Alexey Voronin, Scott MacLachlan , Luke N. Olson , and 1 more author

Arxiv, 2023

@article{https://doi.org/10.48550/arXiv.2306.06795,
  author = {Voronin, Alexey and MacLachlan, Scott and Olson, Luke N. and Tuminaro, Raymond},
  title = {Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations},
  journal = {Arxiv},
  volume = {n/a},
  number = {n/a},
  pages = {n/a},
  doi = {https://doi.org/10.48550/arXiv.2306.06795},
  url = {https://arxiv.org/abs/2306.06795},
  eprint = {https://arxiv.org/abs/2306.06795},
  year = {2023},
}

Low-order preconditioning of the Stokes equations

Alexey Voronin, Yunhui He , Scott MacLachlan , and 2 more authors

Numerical Linear Algebra with Applications, 2021

@article{https://doi.org/10.1002/nla.2426,
  author = {Voronin, Alexey and He, Yunhui and MacLachlan, Scott and Olson, Luke N. and Tuminaro, Raymond},
  title = {Low-order preconditioning of the Stokes equations},
  journal = {Numerical Linear Algebra with Applications},
  volume = {n/a},
  number = {n/a},
  pages = {e2426},
  keywords = {additive Vanka, Braess–Sarazin, local Fourier analysis, monolithic multigrid, Stokes equations},
  doi = {https://doi.org/10.1002/nla.2426},
  url = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/nla.2426},
  eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/nla.2426},
  year = {2021},
}

A computational study of symmetry and well-posedness of structural topology optimization

Daniel A White , and Alexey Voronin

Structural and Multidisciplinary Optimization, 2019

@article{white2019computational,
  title = {A computational study of symmetry and well-posedness of structural topology optimization},
  author = {White, Daniel A and Voronin, Alexey},
  journal = {Structural and Multidisciplinary Optimization},
  volume = {59},
  number = {3},
  pages = {759--766},
  year = {2019},
  publisher = {Springer},
}

Evaluation of Representations and Response Models for Polarizable Force Fields

Amanda Li , Alexey Voronin, Andrew T Fenley , and 1 more author

The Journal of Physical Chemistry B, 2016

@article{li2016evaluation,
  title = {Evaluation of Representations and Response Models for Polarizable Force Fields},
  author = {Li, Amanda and Voronin, Alexey and Fenley, Andrew T and Gilson, Michael K},
  journal = {The Journal of Physical Chemistry B},
  volume = {120},
  number = {33},
  pages = {8668--8684},
  year = {2016},
  publisher = {ACS Publications},
}

books & conferences

On the convergence behavior of preconditioned gradient descent toward the rich learning regime

Shuai Jiang , Alexey Voronin, Eric Cyr , and 1 more author

In International Conference on Learning Representations , 2026

@inproceedings{jiang2026convergence,
  title = {On the convergence behavior of preconditioned gradient descent toward the rich learning regime},
  author = {Jiang, Shuai and Voronin, Alexey and Cyr, Eric and Southworth, Ben},
  booktitle = {International Conference on Learning Representations},
  volume = {2026},
  pages = {78652--78672},
  year = {2026},
}

submissions

A scalable cooperative/competitive splitting scheme for mixture of experts models

Hien T Nguyen-Vu , Alexey Voronin, Shyam Sankaran , and 2 more authors

2025

@unpublished{nguyenscalable,
  title = {A scalable cooperative/competitive splitting scheme for mixture of experts models},
  author = {Nguyen-Vu, Hien T and Voronin, Alexey and Sankaran, Shyam and Cyr, Eric C and Trask, Nathaniel},
  year = {2025},
}

thesis

Monolithic Multigrid For Saddle Point Systems

Alexey Voronin

Department of Computer Science, University of Illinois Urbana-Champaign , 2024

@phdthesis{voronin2024thesis,
  author = {Voronin, Alexey},
  title = {Monolithic Multigrid For Saddle Point Systems},
  school = {Department of Computer Science, University of Illinois Urbana-Champaign},
  address = {Urbana, Illinois},
  year = {2024},
  url = {https://www.ideals.illinois.edu/items/131345},
}

technical reports

Adaptive Relaxation Methods Based on Patch Reuse For Evolving Linear System

Alexey Voronin, Raymond Tuminaro , Luke Olson , and 1 more author

2023

@report{voronin2023patch,
  title = {Adaptive Relaxation Methods Based on Patch Reuse For Evolving Linear
        System},
  author = {Voronin, Alexey and Tuminaro, Raymond and Olson, Luke and Maclachlan, Scott},
  journal = {Computer Science Research Institute Summer Proceedings},
  pages = {135–146},
  year = {2023},
  url = {https://www.sandia.gov/ccr/csri-summer-programs/computer-science-research-institute-summer-proceedings-2023/},
}

Monolithic Algebraic Multigrid Preconditioners For Stokes Systems

Alexey Voronin, Raymond Tuminaro , Luke Olson , and 1 more author

2022

@report{voronin2022amg,
  title = {Monolithic Algebraic Multigrid Preconditioners For Stokes Systems},
  author = {Voronin, Alexey and Tuminaro, Raymond and Olson, Luke and Maclachlan, Scott},
  journal = {Computer Science Research Institute Summer Proceedings},
  pages = {185–196},
  year = {2022},
  url = {https://www.sandia.gov/ccr/csri-summer-programs/computer-science-research-institute-summer-proceedings-2022/},
}

Algebraic Multigrid for higher-order discretization of Stokes Equation

Alexey Voronin, Raymond Tuminaro , Luke Olson , and 1 more author

2021

@report{voronin2021amg,
  title = {Algebraic Multigrid for higher-order discretization of Stokes Equation},
  author = {Voronin, Alexey and Tuminaro, Raymond and Olson, Luke and Maclachlan, Scott},
  journal = {Computer Science Research Institute Summer Proceedings},
  pages = {147–158},
  year = {2021},
  url = {https://www.sandia.gov/ccr/csri-summer-programs/2021-proceedings/},
}

AMG for mixed finite element representations of systems of PDEs

Alexey Voronin, Raymond Tuminaro , Luke Olson , and 1 more author

2020

@report{voronin2020amg,
  title = {AMG for mixed finite element representations of systems of PDEs},
  author = {Voronin, Alexey and Tuminaro, Raymond and Olson, Luke and Maclachlan, Scott},
  journal = {Computer Science Research Institute Summer Proceedings},
  pages = {127-137},
  year = {2020},
  url = {https://www.osti.gov/servlets/purl/1716561#page=137},
}

Preparation and optimization of a diverse workload for a large-scale heterogeneous system

2019

@report{karlin2019preparation,
  title = {Preparation and optimization of a diverse workload for a large-scale heterogeneous system},
  author = {},
  journal = {Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis},
  url = {https://dl.acm.org/doi/pdf/10.1145/3295500.3356192},
  pages = {1--17},
  year = {2019}
}