A globally convergent method to accelerate large-scale optimization using on-the-fly model hyperreduction: application to shape optimization

T Wen, MJ Zahr - Journal of Computational Physics, 2023 - Elsevier
We present a numerical method to efficiently solve optimization problems governed by large-
scale nonlinear systems of equations, including discretized partial differential equations …

Deep convolutional neural network for shape optimization using level-set approach

W Mallik, N Farvolden, J Jelovica… - arXiv preprint arXiv …, 2022 - arxiv.org
This article presents a reduced-order modeling methodology via deep convolutional neural
networks (CNNs) for shape optimization applications. The CNN provides a nonlinear …

A parametric level set method with convolutional encoder-decoder network for shape optimization with fluid flow

W Mallik, RK Jaiman, J Jelovica - arXiv preprint arXiv:2301.05597, 2023 - arxiv.org
In this article, we present a new data-driven shape optimization approach for implicit
hydrofoil morphing via a polynomial perturbation of parametric level set representation …

Efficient Design of Transonic Airfoils Using Non-Intrusive Reduced Order Models and Composite Bayesian Optimization

A Dikshit, LT Leifsson - AIAA AVIATION FORUM AND ASCEND 2024, 2024 - arc.aiaa.org
Non-intrusive reduced order models (ROMs) are becoming increasingly popular in the
prediction of aerodynamic flow fields and surface pressure distributions. However, the use of …

Adaptive Model Hyperreduction to Accelerate Optimization Problems Governed by Partial Differential Equations

T Wen - 2024 - search.proquest.com
Optimization problems constrained by partial differential equations (PDEs) are prevalent
across modern science and engineering. They are crucial in the optimal design and control …