Orientation embedded high order shape functions for the exact sequence elements of all shapes. - Federico Fuentes; Brendan Keith; Leszek F. Demkowicz; Sriram Nagaraj (Comput. Math. Appl., 2015)

Goal-oriented adaptive mesh refinement for non-symmetric functional settings. - Brendan Keith; Ali Vaziri Astaneh; Leszek F. Demkowicz (CoRR, 2017)

Coupled variational formulations of linear elasticity and the DPG methodology. - Federico Fuentes; Brendan Keith; Leszek F. Demkowicz; Patrick Le Tallec (J. Comput. Phys., 2017)

The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis. - Daniel Drzisga; Brendan Keith; Barbara I. Wohlmuth (CoRR, 2019)

Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov-Galerkin Methods. - Brendan Keith; Ali Vaziri Astaneh; Leszek F. Demkowicz (SIAM J. Numer. Anal., 2019)

The Surrogate Matrix Methodology: A Priori Error Estimation. - Daniel Drzisga; Brendan Keith; Barbara I. Wohlmuth (SIAM J. Sci. Comput., 2019)

The DPG-star method. - Leszek F. Demkowicz; Jay Gopalakrishnan; Brendan Keith (Comput. Math. Appl., 2020)

The surrogate matrix methodology: Accelerating isogeometric analysis of waves. - Daniel Drzisga; Brendan Keith; Barbara I. Wohlmuth (CoRR, 2020)

A priori error analysis of high-order LL* (FOSLL*) finite element methods. - Brendan Keith (Comput. Math. Appl., 2021)

Orbital dynamics of binary black hole systems can be learned from gravitational wave measurements. - Brendan Keith; Akshay Khadse; Scott E. Field (CoRR, 2021)

Learning the structure of wind: A data-driven nonlocal turbulence model for the atmospheric boundary layer. - Brendan Keith; Ustim Khristenko; Barbara I. Wohlmuth (CoRR, 2021)

Risk-averse design of tall buildings for uncertain wind conditions. - Anoop Kodakkal; Brendan Keith; Ustim Khristenko; Andreas Apostolatos; Kai-Uwe Bletzinger; Barbara I. Wohlmuth; Roland Wüchner (CoRR, 2022)

Multi-Agent Reinforcement Learning for Adaptive Mesh Refinement. - Jiachen Yang; Ketan Mittal; Tarik Dzanic; Socratis Petrides; Brendan Keith; Brenden K. Petersen; Daniel M. Faissol; Robert W. Anderson (AAMAS, 2023)

Proximal Galerkin: A structure-preserving finite element method for pointwise bound constraints. - Brendan Keith; Thomas M. Surowiec (CoRR, 2023)

DynAMO: Multi-agent reinforcement learning for dynamic anticipatory mesh optimization with applications to hyperbolic conservation laws. - Tarik Dzanic; Ketan Mittal; Dohyun Kim; Jiachen Yang; Socratis Petrides; Brendan Keith; Robert W. Anderson (CoRR, 2023)

An adaptive sampling augmented Lagrangian method for stochastic optimization with deterministic constraints. - Raghu Bollapragada; Cem Karamanli; Brendan Keith; Boyan S. Lazarov; Socratis Petrides; Jingyi Wang (Comput. Math. Appl., 2023)

High-performance finite elements with MFEM. - Julian Andrej; Nabil M. Atallah; Jan-Phillip Bäcker; John Camier; Dylan Copeland; Veselin Dobrev; Yohann Dudouit; Tobias Duswald; Brendan Keith; Dohyun Kim; Tzanio V. Kolev; Boyan S. Lazarov; et al. (CoRR, 2024)

Finite elements for Matérn-type random fields: Uncertainty in computational mechanics and design optimization. - Tobias Duswald; Brendan Keith; Boyan S. Lazarov; Socratis Petrides; Barbara I. Wohlmuth (CoRR, 2024)

Improving Explainability of Softmax Classifiers Using a Prototype-Based Joint Embedding Method. - Hilarie Sit; Brendan Keith; Karianne Bergen (CoRR, 2024)

A Simple Introduction to the SiMPL Method for Density-Based Topology Optimization. - Dohyun Kim; Boyan S. Lazarov; Thomas M. Surowiec; Brendan Keith (CoRR, 2024)

A locally-conservative proximal Galerkin method for pointwise bound constraints. - Guosheng Fu; Brendan Keith; Rami Masri (CoRR, 2024)

DynAMO: Multi-agent reinforcement learning for dynamic anticipatory mesh optimization with applications to hyperbolic conservation laws. - Tarik Dzanic; Ketan Mittal; DoHyun Kim; J. Yang; Socratis Petrides; Brendan Keith; Robert W. Anderson (J. Comput. Phys., 2024)

DRDMannTurb: A Python package for scalable, data-driven synthetic turbulence. - Alexey Izmailov; Matthew Meeker; Georgios Deskos; Brendan Keith (J. Open Source Softw., 2024)

Learning Robust Marking Policies for Adaptive Mesh Refinement. - Andrew Gillette; Brendan Keith; Socratis Petrides (SIAM J. Sci. Comput., 2024)

Analysis of the SiMPL Method for Density-Based Topology Optimization. - Brendan Keith; Dohyun Kim; Boyan S. Lazarov; Thomas M. Surowiec (SIAM J. Optim., 2025)

The latent variable proximal point algorithm for variational problems with inequality constraints. - Jørgen S. Dokken; Patrick E. Farrell; Brendan Keith; Ioannis P. A. Papadopoulos; Thomas M. Surowiec (CoRR, 2025)

Learning thermodynamic master equations for open quantum systems. - Peter Sentz; Stanley Nicholson; Yujin Cho; Sohail Reddy; Brendan Keith; Stefanie Günther (CoRR, 2025)

A priori error analysis of the proximal Galerkin method. - Brendan Keith; Rami Masri; Marius Zeinhofer (CoRR, 2025)