Publications
Additional links to my preprints can be found on arXiv.org and ResearchGate. My published work can also be tracked on Scopus and Google Scholar.
Preprints
 |
Analysis of Bregman proximal point for the obstacle problem with Haojun Qin and Noe Reyes Rivas arXiv: 2609.23007 [math.AP] [preprint] [BibTeX] |
 |
Exponential adaptive smoothing and importance sampling for optimization of the conditional value-at-risk with Will Asness, Boyan Lazarov, Anton Malandii, and Stan Uryasev arXiv: 2606.11515 [math.OC] [preprint] [BibTeX] |
 |
The SiMPL method for multi-material topology optimization. with Peter Gangl, Dohyun Kim, Boyan S. Lazarov, and Thomas M. Surowiec arXiv: 2605.11994 [math.NA] [preprint] [BibTeX] |
 |
Proximal Galerkin for the isometry constraint. with Frederic Marazzato arXiv: 2605.07054 [math.NA] [preprint] [BibTeX] |
 |
Proximal Galerkin for phase field fracture with Miguel Castillón, Biswajit Khara, Jørgen S. Dokken, Thomas M. Surowiec, and Yuri Bazilevs arXiv: 2604.26210 [math.NA] [preprint] [BibTeX] |
 |
Proximal discontinuous Galerkin methods for variational inequalities with Alexandre Ern, Dohyun Kim, Rami Masri, and Beatrice Riviere arXiv: 2604.19708 [math.NA] [preprint] [BibTeX] |
 |
The proximal Galerkin method for non-symmetric variational inequalities with Guosheng Fu, Dohyun Kim, Rami Masri and Will Pazner arXiv: 2602.14967 [math.NA] [preprint] [BibTeX] |
 |
A priori error analysis of the proximal Galerkin method with Rami Masri and Marius Zeinhofer arXiv: 2507.13516 [math.NA] [preprint] [BibTeX] |
Peer-Reviewed Scientific Articles
 |
A locally-conservative proximal Galerkin method for pointwise bound constraints with Guosheng Fu and Rami Masri Mathematics of Computation (2026) [preprint] [journal doi] [code] [BibTeX] |
 |
Learning thermodynamic master equations for open quantum systems with Peter Sentz, Stanley Nicholson, Yujin Cho, Sohail Reddy, and Stefanie Günther Quantum (2026) [preprint] [journal doi] [BibTeX] |
  |
Proximal Galerkin: A structure-preserving finite element method for pointwise bound constraints with Thomas M. Surowiec Foundations of Computational Mathematics (2026) [preprint] [journal doi] [code] [BibTeX] |
 |
The latent variable proximal point algorithm for variational problems with inequality constraints with Jørgen S. Dokken, Patrick E. Farrell, Ioannis P. A. Papadopoulos, Thomas M. Surowiec Computer Methods in Applied Mechanics and Engineering (2025) [preprint] [journal doi] [code] [BibTeX] |
 |
Analysis of the SiMPL method for density-based topology optimization with Dohyun Kim, Boyan Lazarov, and Thomas M. Surowiec SIAM Journal on Optimization (2025) [preprint] [journal doi] [BibTeX] |
 |
A simple introduction to the SiMPL method for density-based topology optimization with Dohyun Kim, Boyan Lazarov, and Thomas M. Surowiec Structural and Multidisciplinary Optimization (2025) [preprint] [code] [journal doi] [BibTeX] |
 |
Finite elements for Matérn-type random fields: Uncertainty in computational mechanics and design optimization with Tobias Duswald, Boyan Lazarov, Socratis Petrides, and Barbara Wohlmuth Computer Methods in Applied Mechanics and Engineering (2024) [preprint] [journal doi] [BibTeX] |
 |
High-performance finite elements with MFEM with Julian Andrej, Nabil Atallah, Jan-Phillip Bäcker, Jean-Sylvain Camier, Dylan Copeland, Veselin Dobrev, Yohann Dudouit, Tobias Duswald, Dohyun Kim, Tzanio Kolev, Boyan Lazarov, Ketan Mittal, Will Pazner, Socratis Petrides, Syun’ichi Shiraiwa, Mark Stowell, and Vladimir Tomov The International Journal of High Performance Computing Applications (2024) [preprint] [journal doi] [BibTeX] |
 |
DynAMO: Multi-agent reinforcement learning for dynamic anticipatory mesh optimization with applications to hyperbolic conservation laws with Tarik Dzanic, Ketan Mittal, Dohyun Kim, Jiachen Yang, Socratis Petrides, and Robert Anderson Journal of Computational Physics (2024) [preprint] [journal doi] [BibTeX] |
 |
Learning robust marking policies for adaptive mesh refinement with Andrew Gillette and Socratis Petrides SIAM Journal on Scientific Computing (2024) [preprint] [journal doi] [BibTeX] |
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An Adaptive Sampling Augmented Lagrangian Method for Stochastic Optimization with Deterministic Constraints with Raghu Bollapragada, Cem Karamanli, Boyan Lazarov, Socratis Petrides, and Jingyi Wang Computers & Mathematics with Applications (2023) [preprint] [journal doi] [BibTeX] |
 |
Adaptive sampling strategies for risk-averse stochastic optimization with constraints with Florian Beiser, Simon Urbainczyk, and Barbara Wohlmuth IMA Journal of Numerical Analysis (2023) [preprint] [journal doi] [BibTeX] |
 |
Risk-averse design of tall buildings for uncertain wind conditions with Anoop Kodakkal, Ustim Khristenko, Andreas Apostolatos, Kai-Uwe Bletzinger, Barbara Wohlmuth, and Roland Wuechner Computer Methods in Applied Mechanics and Engineering (2022) [preprint] [journal doi] [BibTeX] |
 |
Learning orbital dynamics of binary black hole systems from gravitational wave measurements with Akshay Khadse and Scott E. Field Physical Review Research (2021) [preprint] [journal doi] [code] Press release about this work! [BibTeX] |
 |
A priori error analysis of high-order LL* (FOSLL*) finite element methods Computers & Mathematics with Applications (2021) [preprint] [journal doi] [code] [BibTeX] |
 |
Learning the structure of wind: A data-driven nonlocal turbulence model for the atmospheric boundary layer with Ustim Khristenko and Barbara Wohlmuth Physics of Fluids (2021) [preprint] [journal doi] [code1] [code2] [BibTeX] |
 |
A fractional PDE model for turbulent velocity fields near solid walls with Ustim Khristenko and Barbara Wohlmuth Journal of Fluid Mechanics (2021) [preprint] [journal doi] [BibTeX] |
 |
The surrogate matrix methodology: Accelerating isogeometric analysis of waves with Daniel Drzisga and Barbara Wohlmuth Computer Methods in Applied Mechanics and Engineering (2020) [preprint] [journal doi] [BibTeX] |
 |
The DPG-star method with Leszek Demkowicz and Jay Gopalakrishnan Computers & Mathematics with Applications (2020) [preprint] [journal doi] [BibTeX] |
 |
The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis with Daniel Drzisga and Barbara Wohlmuth MethodsX (2020) [journal doi] [code1] [code2] [BibTeX] |
 |
The surrogate matrix methodology: Low-cost assembly for isogeometric analysis with Daniel Drzisga and Barbara Wohlmuth Computer Methods in Applied Mechanics and Engineering (2020) [preprint] [journal doi] [BibTeX] |
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The surrogate matrix methodology: a priori error estimation with Daniel Drzisga and Barbara Wohlmuth SIAM Journal on Scientific Computing (2019) [preprint] [journal doi] [BibTeX] |
 |
Goal-oriented adaptive mesh refinement for discontinuous Petrov–Galerkin methods with Ali Varizi Astaneh and Leszek Demkowicz SIAM Journal on Numerical Analysis (2019) [preprint] [journal doi] [BibTeX] |
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On perfectly matched layers for discontinuous Petrov–Galerkin methods with Ali Varizi Astaneh and Leszek Demkowicz Computational Mechanics (2019) [preprint] [journal doi] [BibTeX] |
 |
Discrete least-squares finite element methods with Socratis Petrides, Federico Fuentes, and Leszek Demkowicz Computer Methods in Applied Mechanics and Engineering (2017) [preprint] [journal doi] [BibTeX] |
 |
An ultraweak DPG method for viscoelastic fluids with Philipp Knechtges, Nathan V. Roberts, Stefanie Elgeti, Marek Behr, and Leszek Demkowicz Journal of Non-Newtonian Fluid Mechanics (2017) [preprint] [journal doi] [BibTeX] |
 |
Coupled variational formulations of linear elasticity and the DPG methodology with Federico Fuentes, Leszek Demkowicz, and Patrick Le Tallec Journal of Computational Physics (2017) [preprint] [journal doi] [BibTeX] |
 |
The DPG methodology applied to different variational formulations of linear elasticity with Federico Fuentes and Leszek Demkowicz Computer Methods in Applied Mechanics and Engineering (2016) [preprint] [journal doi] [BibTeX] |
 |
Orientation embedded high order shape functions for the exact sequence elements of all shapes with Federico Fuentes, Leszek Demkowicz, and Sriram Nagaraj Computers & Mathematics with Applications (2015) [preprint] [journal doi] [code] [BibTeX] |
Software
 |
DRDMannTurb: A python package for scalable, data-driven synthetic turbulence with Alexey Izmailov, Matthew Meeker, and Georgios Deskos Python Package (2024) [PyPI] [documentation] [journal doi] [BibTeX] |
Conference Proceedings
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Improving explainability of softmax classifiers using a prototype-based joint embedding method with Hilarie Sit and Karianne Bergen Proceedings of the Workshop on Explainable AI at IJCAI [preprint] [BibTeX] |
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Multi-agent reinforcement learning for adaptive mesh refinement with Jiachen Yang, Ketan Mittal, Tarik Dzanic, Socratis Petrides, Brenden Petersen, Daniel Faissol, and Robert Anderson Proceedings of the 22nd International Conference on Autonomous Agents and Multiagent Systems (AAMAS-2023) [preprint] [link] [BibTeX] |
Other
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The technique that can find a system’s state through data alone Nature, News & Views (2023) [journal doi] Associated press release! [BibTeX] |
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A saddle-point paradigm for finite element analysis and its role in the DPG methodology PhD Dissertation, The University of Texas at Austin (2018) [link] [BibTeX] |
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DPG* Method with Leszek Demkowicz and Jay Gopalakrishnan Technical Report (2017) [link] [BibTeX] |
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Lagrangian coherent structures in three-dimensional steady flows Master’s Thesis, McGill University (2014) [link] [BibTeX] |
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The Wave Equation and Multi-Dimensional Time The Waterloo Mathematics Review (2011) [link] [BibTeX] |
@misc{keith2026analysis,
title={Analysis of {Bregman} Proximal Point for the Obstacle Problem},
author={Keith, Brendan and Qin, Haojun and Rivas, Noe Reyes},
year={2026},
eprint={2609.23007},
archivePrefix={arXiv},
primaryClass={math.AP},
doi={10.48550/arXiv.2609.23007},
url={https://arxiv.org/abs/2609.23007}
}
@misc{asness2026exponential,
title={Exponential Adaptive Smoothing and Importance Sampling for Optimization of the Conditional Value-at-Risk},
author={Asness, Will and Keith, Brendan and Lazarov, Boyan and Malandii, Anton and Uryasev, Stan},
year={2026},
eprint={2606.11515},
archivePrefix={arXiv},
primaryClass={math.OC},
doi={10.48550/arXiv.2606.11515},
url={https://arxiv.org/abs/2606.11515}
}
@misc{gangl2026simpl,
title={The {SiMPL} Method for Multi-Material Topology Optimization},
author={Gangl, Peter and Keith, Brendan and Kim, Dohyun and Lazarov, Boyan S. and Surowiec, Thomas M.},
year={2026},
eprint={2605.11994},
archivePrefix={arXiv},
primaryClass={math.NA},
doi={10.48550/arXiv.2605.11994},
url={https://arxiv.org/abs/2605.11994}
}
@misc{keith2026proximal,
title={Proximal {Galerkin} for the isometry constraint},
author={Keith, Brendan and Marazzato, Fr{\'e}d{\'e}ric},
year={2026},
eprint={2605.07054},
archivePrefix={arXiv},
primaryClass={math.NA},
doi={10.48550/arXiv.2605.07054},
url={https://arxiv.org/abs/2605.07054}
}
@misc{castillon2026proximal,
title={Proximal {Galerkin} for Phase Field Fracture},
author={Castill{\'o}n, Miguel and Khara, Biswajit and Dokken, J{\o}rgen S. and Surowiec, Thomas M. and Keith, Brendan and Bazilevs, Yuri},
year={2026},
eprint={2604.26210},
archivePrefix={arXiv},
primaryClass={math.NA},
doi={10.48550/arXiv.2604.26210},
url={https://arxiv.org/abs/2604.26210}
}
@misc{ern2026proximal,
title={Proximal Discontinuous {Galerkin} Methods for Variational Inequalities},
author={Ern, Alexandre and Keith, Brendan and Kim, Dohyun and Masri, Rami and Riviere, Beatrice},
year={2026},
eprint={2604.19708},
archivePrefix={arXiv},
primaryClass={math.NA},
doi={10.48550/arXiv.2604.19708},
url={https://arxiv.org/abs/2604.19708}
}
@misc{fu2026proximal,
title={The proximal {Galerkin} method for non-symmetric variational inequalities},
author={Fu, Guosheng and Keith, Brendan and Kim, Dohyun and Masri, Rami and Pazner, Will},
year={2026},
eprint={2602.14967},
archivePrefix={arXiv},
primaryClass={math.NA},
doi={10.48550/arXiv.2602.14967},
url={https://arxiv.org/abs/2602.14967}
}
@misc{keith2025priori,
title={A priori error analysis of the proximal {Galerkin} method},
author={Keith, Brendan and Masri, Rami and Zeinhofer, Marius},
year={2025},
eprint={2507.13516},
archivePrefix={arXiv},
primaryClass={math.NA},
doi={10.48550/arXiv.2507.13516},
url={https://arxiv.org/abs/2507.13516}
}
@article{fu2026locally,
title={A locally-conservative proximal {Galerkin} method for pointwise bound constraints},
author={Fu, Guosheng and Keith, Brendan and Masri, Rami},
journal={Mathematics of Computation},
year={2026},
doi={10.1090/mcom/4218},
url={https://doi.org/10.1090/mcom/4218}
}
@article{sentz2026learning,
title={Learning thermodynamic master equations for open quantum systems},
author={Sentz, Peter and Nicholson, Stanley and Cho, Yujin and Reddy, Sohail and Keith, Brendan and G{\"u}nther, Stefanie},
journal={Quantum},
volume={10},
pages={2151},
year={2026},
doi={10.22331/q-2026-07-01-2151},
url={https://doi.org/10.22331/q-2026-07-01-2151}
}
@article{dokken2025latent,
title={The latent variable proximal point algorithm for variational problems with inequality constraints},
author={Dokken, J{\o}rgen S. and Farrell, Patrick E. and Keith, Brendan and Papadopoulos, Ioannis P. A. and Surowiec, Thomas M.},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={445},
pages={118181},
year={2025},
doi={10.1016/j.cma.2025.118181},
url={https://doi.org/10.1016/j.cma.2025.118181}
}
@article{keith2025analysis,
title={Analysis of the {SiMPL} Method for Density-Based Topology Optimization},
author={Keith, Brendan and Kim, Dohyun and Lazarov, Boyan S. and Surowiec, Thomas M.},
journal={SIAM Journal on Optimization},
volume={35},
number={2},
pages={1134--1164},
year={2025},
doi={10.1137/24M1708863},
url={https://doi.org/10.1137/24M1708863}
}
@article{kim2025simple,
title={A simple introduction to the {SiMPL} method for density-based topology optimization},
author={Kim, Dohyun and Lazarov, Boyan S. and Surowiec, Thomas M. and Keith, Brendan},
journal={Structural and Multidisciplinary Optimization},
volume={68},
number={4},
pages={74},
year={2025},
doi={10.1007/s00158-025-04008-9},
url={https://doi.org/10.1007/s00158-025-04008-9}
}
@article{keith2026proximalgalerkin,
title={Proximal {Galerkin}: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints},
author={Keith, Brendan and Surowiec, Thomas M.},
journal={Foundations of Computational Mathematics},
volume={26},
number={1},
pages={385--481},
year={2026},
doi={10.1007/s10208-024-09681-8},
url={https://doi.org/10.1007/s10208-024-09681-8}
}
@article{duswald2024finite,
title={Finite elements for {Mat{\'e}rn}-type random fields: Uncertainty in computational mechanics and design optimization},
author={Duswald, Tobias and Keith, Brendan and Lazarov, Boyan and Petrides, Socratis and Wohlmuth, Barbara},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={429},
pages={117146},
year={2024},
doi={10.1016/j.cma.2024.117146},
url={https://doi.org/10.1016/j.cma.2024.117146}
}
@article{andrej2024high,
title={High-performance finite elements with {MFEM}},
author={Andrej, Julian and Atallah, Nabil and B{\"a}cker, Jan-Phillip and Camier, Jean-Sylvain and Copeland, Dylan and Dobrev, Veselin and Dudouit, Yohann and Duswald, Tobias and Keith, Brendan and Kim, Dohyun and Kolev, Tzanio and Lazarov, Boyan and Mittal, Ketan and Pazner, Will and Petrides, Socratis and Shiraiwa, Syun'ichi and Stowell, Mark and Tomov, Vladimir},
journal={The International Journal of High Performance Computing Applications},
volume={38},
number={5},
pages={447--467},
year={2024},
doi={10.1177/10943420241261981},
url={https://doi.org/10.1177/10943420241261981}
}
@article{dzanic2024dynamo,
title={{DynAMO}: Multi-agent reinforcement learning for dynamic anticipatory mesh optimization with applications to hyperbolic conservation laws},
author={Dzanic, Tarik and Mittal, Ketan and Kim, Dohyun and Yang, Jiachen and Petrides, Socratis and Keith, Brendan and Anderson, Robert},
journal={Journal of Computational Physics},
volume={506},
pages={112924},
year={2024},
doi={10.1016/j.jcp.2024.112924},
url={https://doi.org/10.1016/j.jcp.2024.112924}
}
@article{gillette2024learning,
title={Learning Robust Marking Policies for Adaptive Mesh Refinement},
author={Gillette, Andrew and Keith, Brendan and Petrides, Socratis},
journal={SIAM Journal on Scientific Computing},
volume={46},
number={1},
pages={A264--A289},
year={2024},
doi={10.1137/22M1510613},
url={https://doi.org/10.1137/22M1510613}
}
@article{bollapragada2023adaptive,
title={An adaptive sampling augmented {Lagrangian} method for stochastic optimization with deterministic constraints},
author={Bollapragada, Raghu and Karamanli, Cem and Keith, Brendan and Lazarov, Boyan and Petrides, Socratis and Wang, Jingyi},
journal={Computers \& Mathematics with Applications},
volume={149},
pages={239--258},
year={2023},
doi={10.1016/j.camwa.2023.09.014},
url={https://doi.org/10.1016/j.camwa.2023.09.014}
}
@article{beiser2023adaptive,
title={Adaptive sampling strategies for risk-averse stochastic optimization with constraints},
author={Beiser, Florian and Keith, Brendan and Urbainczyk, Simon and Wohlmuth, Barbara},
journal={IMA Journal of Numerical Analysis},
volume={43},
number={6},
pages={3729--3765},
year={2023},
doi={10.1093/imanum/drac083},
url={https://doi.org/10.1093/imanum/drac083}
}
@article{kodakkal2022risk,
title={Risk-averse design of tall buildings for uncertain wind conditions},
author={Kodakkal, Anoop and Keith, Brendan and Khristenko, Ustim and Apostolatos, Andreas and Bletzinger, Kai-Uwe and Wohlmuth, Barbara and W{\"u}chner, Roland},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={402},
pages={115371},
year={2022},
doi={10.1016/j.cma.2022.115371},
url={https://doi.org/10.1016/j.cma.2022.115371}
}
@article{keith2021learning,
title={Learning orbital dynamics of binary black hole systems from gravitational wave measurements},
author={Keith, Brendan and Khadse, Akshay and Field, Scott E.},
journal={Physical Review Research},
volume={3},
number={4},
pages={043101},
year={2021},
doi={10.1103/PhysRevResearch.3.043101},
url={https://doi.org/10.1103/PhysRevResearch.3.043101}
}
@article{keith2021priori,
title={A priori error analysis of high-order {LL*} ({FOSLL*}) finite element methods},
author={Keith, Brendan},
journal={Computers \& Mathematics with Applications},
volume={103},
pages={12--18},
year={2021},
doi={10.1016/j.camwa.2021.10.015},
url={https://doi.org/10.1016/j.camwa.2021.10.015}
}
@article{keith2021wind,
title={Learning the structure of wind: A data-driven nonlocal turbulence model for the atmospheric boundary layer},
author={Keith, Brendan and Khristenko, Ustim and Wohlmuth, Barbara},
journal={Physics of Fluids},
volume={33},
number={9},
pages={095110},
year={2021},
doi={10.1063/5.0064394},
url={https://doi.org/10.1063/5.0064394}
}
@article{keith2021fractional,
title={A fractional {PDE} model for turbulent velocity fields near solid walls},
author={Keith, Brendan and Khristenko, Ustim and Wohlmuth, Barbara},
journal={Journal of Fluid Mechanics},
volume={916},
pages={A21},
year={2021},
doi={10.1017/jfm.2021.182},
url={https://doi.org/10.1017/jfm.2021.182}
}
@article{drzisga2020accelerating,
title={The surrogate matrix methodology: Accelerating isogeometric analysis of waves},
author={Drzisga, Daniel and Keith, Brendan and Wohlmuth, Barbara},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={372},
pages={113322},
year={2020},
doi={10.1016/j.cma.2020.113322},
url={https://doi.org/10.1016/j.cma.2020.113322}
}
@article{demkowicz2020dpg,
title={The {DPG}-star method},
author={Demkowicz, Leszek and Gopalakrishnan, Jay and Keith, Brendan},
journal={Computers \& Mathematics with Applications},
volume={79},
number={11},
pages={3092--3116},
year={2020},
doi={10.1016/j.camwa.2020.01.012},
url={https://doi.org/10.1016/j.camwa.2020.01.012}
}
@article{drzisga2020reference,
title={The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis},
author={Drzisga, Daniel and Keith, Brendan and Wohlmuth, Barbara},
journal={MethodsX},
volume={7},
pages={100813},
year={2020},
doi={10.1016/j.mex.2020.100813},
url={https://doi.org/10.1016/j.mex.2020.100813}
}
@article{drzisga2020lowcost,
title={The surrogate matrix methodology: Low-cost assembly for isogeometric analysis},
author={Drzisga, Daniel and Keith, Brendan and Wohlmuth, Barbara},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={361},
pages={112776},
year={2020},
doi={10.1016/j.cma.2019.112776},
url={https://doi.org/10.1016/j.cma.2019.112776}
}
@article{drzisga2019surrogate,
title={The Surrogate Matrix Methodology: A Priori Error Estimation},
author={Drzisga, Daniel and Keith, Brendan and Wohlmuth, Barbara},
journal={SIAM Journal on Scientific Computing},
volume={41},
number={6},
pages={A3806--A3838},
year={2019},
doi={10.1137/18M1226580},
url={https://doi.org/10.1137/18M1226580}
}
@article{keith2019goal,
title={Goal-Oriented Adaptive Mesh Refinement for Discontinuous {Petrov}--{Galerkin} Methods},
author={Keith, Brendan and Vaziri Astaneh, Ali and Demkowicz, Leszek F.},
journal={SIAM Journal on Numerical Analysis},
volume={57},
number={4},
pages={1649--1676},
year={2019},
doi={10.1137/18M1181754},
url={https://doi.org/10.1137/18M1181754}
}
@article{vaziriastaneh2019perfectly,
title={On perfectly matched layers for discontinuous {Petrov}--{Galerkin} methods},
author={Vaziri Astaneh, Ali and Keith, Brendan and Demkowicz, Leszek},
journal={Computational Mechanics},
volume={63},
number={6},
pages={1131--1145},
year={2019},
doi={10.1007/s00466-018-1640-3},
url={https://doi.org/10.1007/s00466-018-1640-3}
}
@article{keith2017discrete,
title={Discrete least-squares finite element methods},
author={Keith, Brendan and Petrides, Socratis and Fuentes, Federico and Demkowicz, Leszek},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={327},
pages={226--255},
year={2017},
doi={10.1016/j.cma.2017.08.043},
url={https://doi.org/10.1016/j.cma.2017.08.043}
}
@article{keith2017ultraweak,
title={An ultraweak {DPG} method for viscoelastic fluids},
author={Keith, Brendan and Knechtges, Philipp and Roberts, Nathan V. and Elgeti, Stefanie and Behr, Marek and Demkowicz, Leszek},
journal={Journal of Non-Newtonian Fluid Mechanics},
volume={247},
pages={107--122},
year={2017},
doi={10.1016/j.jnnfm.2017.06.006},
url={https://doi.org/10.1016/j.jnnfm.2017.06.006}
}
@article{fuentes2017coupled,
title={Coupled variational formulations of linear elasticity and the {DPG} methodology},
author={Fuentes, Federico and Keith, Brendan and Demkowicz, Leszek and Le Tallec, Patrick},
journal={Journal of Computational Physics},
volume={348},
pages={715--731},
year={2017},
doi={10.1016/j.jcp.2017.07.051},
url={https://doi.org/10.1016/j.jcp.2017.07.051}
}
@article{keith2016dpg,
title={The {DPG} methodology applied to different variational formulations of linear elasticity},
author={Keith, Brendan and Fuentes, Federico and Demkowicz, Leszek},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={309},
pages={579--609},
year={2016},
doi={10.1016/j.cma.2016.05.034},
url={https://doi.org/10.1016/j.cma.2016.05.034}
}
@article{fuentes2015orientation,
title={Orientation embedded high order shape functions for the exact sequence elements of all shapes},
author={Fuentes, Federico and Keith, Brendan and Demkowicz, Leszek and Nagaraj, Sriram},
journal={Computers \& Mathematics with Applications},
volume={70},
number={4},
pages={353--458},
year={2015},
doi={10.1016/j.camwa.2015.04.027},
url={https://doi.org/10.1016/j.camwa.2015.04.027}
}
@article{izmailov2024drdmannturb,
title={{DRDMannTurb}: A {Python} package for scalable, data-driven synthetic turbulence},
author={Izmailov, Alexey and Meeker, Matthew and Deskos, Georgios and Keith, Brendan},
journal={Journal of Open Source Software},
volume={9},
number={102},
pages={6838},
year={2024},
doi={10.21105/joss.06838},
url={https://doi.org/10.21105/joss.06838}
}
@inproceedings{sit2024improving,
title={Improving Explainability of Softmax Classifiers Using a Prototype-Based Joint Embedding Method},
author={Sit, Hilarie and Keith, Brendan and Bergen, Karianne},
booktitle={IJCAI 2024 Workshop on Explainable Artificial Intelligence (XAI)},
year={2024},
eprint={2407.02271},
archivePrefix={arXiv},
url={https://arxiv.org/abs/2407.02271}
}
@inproceedings{yang2023multi,
title={Multi-Agent Reinforcement Learning for Adaptive Mesh Refinement},
author={Yang, Jiachen and Mittal, Ketan and Dzanic, Tarik and Petrides, Socratis and Keith, Brendan and Petersen, Brenden and Faissol, Daniel and Anderson, Robert},
booktitle={Proceedings of the 22nd International Conference on Autonomous Agents and Multiagent Systems (AAMAS 2023)},
pages={14--22},
publisher={International Foundation for Autonomous Agents and Multiagent Systems},
year={2023},
url={https://www.southampton.ac.uk/~eg/AAMAS2023/pdfs/p14.pdf}
}
@article{keith2023technique,
title={The technique that can find a system's state through data alone},
author={Keith, Brendan},
journal={Nature},
volume={622},
number={7982},
pages={246--247},
year={2023},
doi={10.1038/d41586-023-03070-x},
url={https://doi.org/10.1038/d41586-023-03070-x}
}
@phdthesis{keith2018new,
title={New ideas in adjoint methods for {PDEs}: A saddle-point paradigm for finite element analysis and its role in the {DPG} methodology},
author={Keith, Brendan},
school={The University of Texas at Austin},
year={2018},
url={http://hdl.handle.net/2152/68919}
}
@techreport{keith2017dpg,
title={{DPG}* method},
author={Keith, Brendan and Demkowicz, Leszek and Gopalakrishnan, Jay},
institution={The Institute for Computational Engineering and Sciences, The University of Texas at Austin},
type={{ICES} Report},
number={17-25},
year={2017},
url={https://www.ices.utexas.edu/media/reports/2017/1725.pdf}
}
@mastersthesis{keith2014lagrangian,
title={{Lagrangian} coherent structures in three-dimensional steady flows},
author={Keith, Brendan},
school={McGill University},
year={2014},
url={https://escholarship.mcgill.ca/concern/theses/xk81jq05j}
}
@article{robison2011wave,
title={The wave equation and multi-dimensional time},
author={Robison, Brendan K.},
journal={The Waterloo Mathematics Review},
volume={1},
number={1},
pages={32--42},
year={2011},
url={http://mathreview.uwaterloo.ca/archive/voli/1/robison.pdf}
}