DOI: 10.5281/zenodo.16992619
title: Autoencoder-based non-intrusive model order reduction in continuum mechanics (Source code and data)

description: AutoEncoder Architectures

This repository accompanies the preprint“Autoencoder-based non-intrusive model order reduction in continuum mechanics”.

It provides the AutoEncoder architectures, regression models, and reference simulation data used in the numerical experiments of the paper. The content is organized by case study, and each folder contains both reference FEM data(PureFEM) and the corresponding AutoEncoder-based surrogate models (AE_and_FFN).

Folder Structure





01_Unit_Cell/





01_PureFEM/ – Reference FEM simulations of the heterogeneous composite unit cell.




02_AE_and_FFN/ – Implementation and training of the AutoEncoder (unsupervised) combined with a Feed-Forward Network for latent space regression.






02_Plate_with_Elliptic_Hole/





01_PureFEM/ – FEM simulations of a plate with a parametrized elliptic hole (geometry variation with parameters xi, eta).




02_AE_and_FFN/ – Complete AutoEncoder and regression setup.





AEscripts/ – AutoEncoder architecture, training steps, and loss functions.




FFNtoLSscripts/ – Feed-forward regression models mapping input parameters to the latent space.




01_results/ – Example runs including training histories (lossAE_history.txt, lossFFNtoLS_history.txt) and comparisons of reference and predicted meshes (mesh_reference.vtu, mesh_prediction.vtu).








03_Thermo_imperfection/





01_PureFEM/ – Thermo-mechanical FEM simulations with geometric imperfections.




02_AE_and_FFN/ – Extended AutoEncoder setup for multi-field problems (temperature + displacement). Includes separate training histories for thermal and mechanical quantities (lossFFNtoLS_Temp_history.txt, lossFFNtoLS_disp_history.txt).






04_Thermo/





01_PureFEM/ – Thermo-mechanical FEM simulations of a plate for varying parameters (xi, eta).




Contains .vtu output files documenting transient solution states.





 

Contents





PureFEM folders – Reference finite element solutions (ground truth data).




AE_and_FFN folders – AutoEncoder and regression architectures, including training scripts and configuration files.




01_results folders – Training and evaluation results:





Loss histories for AutoEncoder and regression networks.




Prediction vs. reference mesh files (.vtu, .inp).




Timing information (training_evaluation_times.txt).





 

Purpose

This dataset provides the complete implementation and results required to reproduce the numerical experiments presented in the paper. It covers:





Unit cell with heterogeneous microstructure – Displacement and force prediction.




Plate with elliptic hole – Parametric geometry variation and anisotropic elasticity.




Thermo-mechanical problem with imperfections – Multi-field AutoEncoder with coupled displacement and temperature.




Thermo-mechanical plate – Transient analysis and surrogate reconstruction.



The provided files are intended to help users quickly identify the relevant scripts and data for each study and to facilitate reproduction, extension, or adaptation of the presented AutoEncoder-based non-intrusive model order reduction framework.