28 citations · 65 across the 11 of their papers we have counts for
7 papers · 1 filter
Algebraic Multigrid with Filtering: An Efficient Preconditioner for Interior Point Methods in Large-Scale Contact Mechanics Optimization
Socratis Petrides, Tucker Hartland, Tzanio Kolev +6
Large-scale contact mechanics simulations are crucial in many engineering fields such as structural design and manufacturing. In the frictionless case, contact can be modeled by mi…
DynAMO: Multi-agent reinforcement learning for dynamic anticipatory mesh optimization with applications to hyperbolic conservation laws
Tarik Dzanic, Ketan Mittal, Dohyun Kim +4
We introduce DynAMO, a reinforcement learning paradigm for Dynamic Anticipatory Mesh Optimization. Adaptive mesh refinement is an effective tool for optimizing computational cost a…
Scalable DPG Multigrid Solver for Helmholtz Problems: A Study on Convergence
Jacob Badger, Stefan Henneking, Socratis Petrides +1
This paper presents a scalable multigrid preconditioner targeting large-scale systems arising from discontinuous Petrov-Galerkin (DPG) discretizations of high-frequency wave operat…
Learning robust marking policies for adaptive mesh refinement
Andrew Gillette, Brendan Keith, Socratis Petrides
In this work, we revisit the marking decisions made in the standard adaptive finite element method (AFEM). Experience shows that a naïve marking policy leads to inefficient use of…
An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics
Socratis Petrides, Leszek Demkowicz
We propose an adaptive multigrid preconditioning technology for solving linear systems arising from Discontinuous Petrov-Galerkin (DPG) discretizations. Unlike standard multigrid t…
A 3D DPG Maxwell Approach to Nonlinear Raman Gain in Fiber Laser Amplifiers
S. Nagaraj, J. Grosek, S. Petrides +2
We propose a three dimensional Discontinuous Petrov-Galerkin Maxwell approach for modeling Raman gain in fiber laser amplifiers. In contrast with popular beam propagation models, w…
Discrete least-squares finite element methods
Brendan Keith, Socratis Petrides, Federico Fuentes +1
A finite element methodology for large classes of variational boundary value problems is defined which involves discretizing two linear operators: (1) the differential operator def…