Construction of DPG Fortin operators for second order problems. - Sriram Nagaraj; Socratis Petrides; Leszek F. Demkowicz (Comput. Math. Appl., 2017)

An adaptive DPG method for high frequency time-harmonic wave propagation problems. - Socratis Petrides; Leszek F. Demkowicz (Comput. Math. Appl., 2017)

A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers. - Sriram Nagaraj; Jacob Grosek; Socratis Petrides; Leszek F. Demkowicz; Jaime Mora (J. Comput. Phys. X, 2019)

An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics. - Socratis Petrides; Leszek F. Demkowicz (Comput. Math. Appl., 2021)

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)

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)

Scalable DPG multigrid solver for Helmholtz problems: A study on convergence. - Jacob C. Badger; Stefan Henneking; Socratis Petrides; Leszek F. Demkowicz (Comput. Math. Appl., 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)

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)

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

$hp mathrm{3D}$: A Scalable MPI/OpenMP $hp$-Adaptive Finite Element Software Library for Complex Multiphysics Applications. - Stefan Henneking; Socratis Petrides; Federico Fuentes; Jacob C. Badger; Leszek F. Demkowicz (J. Open Source Softw., 2024)

AMG with Filtering: An Efficient Preconditioner for Interior Point Methods in Large-Scale Contact Mechanics Optimization. - Socratis Petrides; Tucker Hartland; Tzanio V. Kolev; Chak Shing Lee; Michael Puso; Jerome Solberg; Eric B. Chin; Jingyi Wang; Cosmin G. Petra (CoRR, 2025)