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20172026
most citedOn the Strong Scaling of the Spectral Element Solver Nek5000 on Petascale Systems

68 citations · 68 across the 4 of their papers we have counts for

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math.OC2026

ExaModels.jl: an Algebraic Modeling System for Nonlinear Programming on GPUs

Sungho Shin, Michel Schanen, François Pacaud +2

Large-scale nonlinear programs almost always exhibit partially separable and repetitive structure, yet most existing algebraic modeling systems do not take advantage of it. A nonli…

math.OC2026

Harnessing GPU Acceleration in Large-Scale Process Optimization

Boxun Huang, David Y. Shu, Michel Schanen +3

This paper presents a proof-of-concept workflow for equation-oriented process optimization that runs entirely on a GPU. Process optimization models often incorporate complex interc…

math.OC2024

Scalable Multi-Period AC Optimal Power Flow Utilizing GPUs with High Memory Capacities

Sungho Shin, Vishwas Rao, Michel Schanen +2

This paper demonstrates the scalability of open-source GPU-accelerated nonlinear programming (NLP) frameworks -- ExaModels.jl and MadNLP.jl -- for solving multi-period alternating…

math.OC2024

Condensed Interior-Point Methods for Scalable Nonlinear Programming on GPUs

François Pacaud, Sungho Shin, Alexis Montoison +2

This paper explores two variants of condensed-space interior-point methods designed for GPUs - HyKKT and LiftedKKT - by analyzing their numerical properties through error analysis…

math.OC2022

Condensed interior-point methods: porting reduced-space approaches on GPU hardware

François Pacaud, Sungho Shin, Michel Schanen +2

The interior-point method (IPM) has become the workhorse method for nonlinear programming. The performance of IPM is directly related to the linear solver employed to factorize the…