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 …
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
Abstract Machine learning methods have been widely applied to structural reliability
analysis, due to the excellent performance in modeling precision and efficiency. In this …
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 …
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
This study explores reduced-order modeling for analyzing time-dependent diffusion-
deformation of hydrogels. The full-order model describing hydrogel transient behavior …
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 …
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
Multi‐scale modeling allows the description of real reactive systems under industrially
relevant conditions. However, its application to rational catalyst and reactor design is …
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 …
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 …
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
In this contribution, we develop an efficient surrogate modeling framework for simulation-
based optimization of enhanced oil recovery, where we particularly focus on polymer …
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
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 …
hierarchical and adaptive surrogate model, which can be used for efficient approximation of …