Multi-patch Isogeometric convolution hierarchical deep-learning neural network

L Zhang, C Park, TJR Hughes, WK Liu - Computer Methods in Applied …, 2025 - Elsevier
A seamless integration of neural networks with Isogeometric Analysis (IGA) was first
introduced in [1] under the name of Hierarchical Deep-learning Neural Network (HiDeNN) …

Convolution tensor decomposition for efficient high-resolution solutions to the Allen–Cahn equation

Y Lu, C Yuan, H Guo - Computer Methods in Applied Mechanics and …, 2025 - Elsevier
This paper presents a convolution tensor decomposition based model reduction method for
solving the Allen–Cahn equation. The Allen–Cahn equation is usually used to characterize …

[HTML][HTML] Analyzing joint efficiency in storage tanks: A comparative study of API 650 standard and API 579 using finite element analysis for enhanced reliability

D García-G, J Barco-Burgos, J Chaparro… - International Journal of …, 2024 - Elsevier
This study compares two renowned methodologies, API 650 and API 579, focusing on the
analysis of joint efficiency at a value of 0.7. Using Finite Element Analysis (FEA), the …

[HTML][HTML] Fast dynamical simulation combining harmonic-modal hybrid formulations with space separated representations

C Germoso, S Rodriguez, A Pasquale, F Chinesta - Results in Engineering, 2025 - Elsevier
In our previous works, we addressed degenerated 3D domains by proposing the use of
Proper Generalized Decomposition (PGD)-based separated representations, enabling …

Modular parametric PGD enabling online solution of partial differential equations

A Pasquale, MJ Kazemzadeh-Parsi… - arXiv preprint arXiv …, 2024 - arxiv.org
In the present work, a new methodology is proposed for building surrogate parametric
models of engineering systems based on modular assembly of pre-solved modules. Each …

Computational approach to geometric modeling of plow bodies

P Yablonskyi, I Rogovskii, H Sobczuk, G Virchenko… - 2024 - essuir.sumdu.edu.ua
In this article, a detailed analysis of modern research and publications on the selected
subject was carried out related to the computer-variant geometric modeling of the working …