Survey of multifidelity methods in uncertainty propagation, inference, and optimization

B Peherstorfer, K Willcox, M Gunzburger - Siam Review, 2018 - SIAM
In many situations across computational science and engineering, multiple computational
models are available that describe a system of interest. These different models have varying …

Introductory overview of identifiability analysis: A guide to evaluating whether you have the right type of data for your modeling purpose

JHA Guillaume, JD Jakeman, S Marsili-Libelli… - … Modelling & Software, 2019 - Elsevier
Identifiability is a fundamental concept in parameter estimation, and therefore key to the
large majority of environmental modeling applications. Parameter identifiability analysis …

Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

K Lee, KT Carlberg - Journal of Computational Physics, 2020 - Elsevier
Nearly all model-reduction techniques project the governing equations onto a linear
subspace of the original state space. Such subspaces are typically computed using methods …

A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder

Y Kim, Y Choi, D Widemann, T Zohdi - Journal of Computational Physics, 2022 - Elsevier
Traditional linear subspace reduced order models (LS-ROMs) are able to accelerate
physical simulations in which the intrinsic solution space falls into a subspace with a small …

[HTML][HTML] Physics-informed machine learning for reduced-order modeling of nonlinear problems

W Chen, Q Wang, JS Hesthaven, C Zhang - Journal of computational …, 2021 - Elsevier
A reduced basis method based on a physics-informed machine learning framework is
developed for efficient reduced-order modeling of parametrized partial differential equations …

Reduced basis methods for time-dependent problems

JS Hesthaven, C Pagliantini, G Rozza - Acta Numerica, 2022 - cambridge.org
Numerical simulation of parametrized differential equations is of crucial importance in the
study of real-world phenomena in applied science and engineering. Computational methods …

[PDF][PDF] 飞机结构数字孪生关键建模仿真技术

董雷霆, 周轩, 赵福斌, 贺双新, 卢志远, 冯建民 - 航空学报, 2021 - researchgate.net
飞机结构安全性设计思想经历了从静强度设计, 安全寿命设计, 损伤容限与耐久性设计到单机
追踪的演变, 未来有进一步向结构数字孪生的方向发展的趋势. 飞机结构数字孪生是数字线程 …

Reduced basis methods: Success, limitations and future challenges

M Ohlberger, S Rave - arXiv preprint arXiv:1511.02021, 2015 - arxiv.org
Parametric model order reduction using reduced basis methods can be an effective tool for
obtaining quickly solvable reduced order models of parametrized partial differential equation …

Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling

B Peherstorfer - SIAM Journal on Scientific Computing, 2020 - SIAM
This work presents a model reduction approach for problems with coherent structures that
propagate over time, such as convection-dominated flows and wave-type phenomena …

Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism

Q Wang, N Ripamonti, JS Hesthaven - Journal of Computational Physics, 2020 - Elsevier
Closure modeling based on the Mori-Zwanzig formalism has proven effective to improve the
stability and accuracy of projection-based model order reduction. However, closure models …