Deep learning in computational mechanics: a review

L Herrmann, S Kollmannsberger - Computational Mechanics, 2024 - Springer
The rapid growth of deep learning research, including within the field of computational
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …

Adaptive directed support vector machine method for the reliability evaluation of aeroengine structure

C Li, JR Wen, J Wan, O Taylan, CW Fei - Reliability Engineering & System …, 2024 - Elsevier
Abstract Machine learning methods have been widely applied to structural reliability
analysis, due to the excellent performance in modeling precision and efficiency. In this …

[HTML][HTML] Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

N Discacciati, JS Hesthaven - Computer Methods in Applied Mechanics …, 2024 - Elsevier
We propose a local, non-intrusive model order reduction technique to accurately
approximate the solution of coupled multi-component parametrized systems governed by …

Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling

G Agarwal, JH Urrea-Quintero, H Wessels… - Computational …, 2024 - Springer
This study explores reduced-order modeling for analyzing time-dependent diffusion-
deformation of hydrogels. The full-order model describing hydrogel transient behavior …

[HTML][HTML] Error assessment of an adaptive finite elements—neural networks method for an elliptic parametric PDE

A Caboussat, M Girardin, M Picasso - Computer Methods in Applied …, 2024 - Elsevier
We present a finite elements—neural network approach for the numerical approximation of
parametric partial differential equations. The algorithm generates training data from finite …

Goal‐Oriented Two‐Layered Kernel Models as Automated Surrogates for Surface Kinetics in Reactor Simulations

F Döppel, T Wenzel, R Herkert… - Chemie Ingenieur …, 2024 - Wiley Online Library
Multi‐scale modeling allows the description of real reactive systems under industrially
relevant conditions. However, its application to rational catalyst and reactor design is …

Deep Learning in Deterministic Computational Mechanics

L Herrmann, S Kollmannsberger - arXiv preprint arXiv:2309.15421, 2023 - arxiv.org
The rapid growth of deep learning research, including within the field of computational
mechanics, has resulted in an extensive and diverse body of literature. To help researchers …

[HTML][HTML] Statistical variational data assimilation

A Benaceur, B Verfürth - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
This paper is a contribution in the context of variational data assimilation combined with
statistical learning. The framework of data assimilation traditionally uses data collected at …

Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery

T Keil, H Kleikamp, RJ Lorentzen, MB Oguntola… - Advances in …, 2022 - Springer
In this contribution, we develop an efficient surrogate modeling framework for simulation-
based optimization of enhanced oil recovery, where we particularly focus on polymer …

Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling

T Wenzel, B Haasdonk, H Kleikamp… - … Conference on Large …, 2023 - Springer
In the framework of reduced basis methods, we recently introduced a new certified
hierarchical and adaptive surrogate model, which can be used for efficient approximation of …