arrow
Return

The neural approximated virtual element method for elasticity problems

delete2025-10-09
delete0
delete
OA
AI
S
Stefano Berrone
M
Moreno Pintore
G
Gioana Teora
DOI:10.1016/j.finel.2025.104467delete
deleteOriginal
deleteShare
deleteSave
View PDF
Abstract

Abstract

En 中文
• A hybrid method combining the Virtual Element spaces with neural networks. • Polygonal method for elastic problems without stabilization or projection operators. • Removal of spurious oscillations in the presence of strong material non-linearities. • Theoretical estimates are derived in the linear case.
Keywords:
NAVEM
Elasticity
Virtual element method
Neural network
Basis functions
Polygonal meshes
AI Summary

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Finite Elements in Analysis and Design cover
Finite Elements in Analysis and Design
IF:
3.5
Papers:
2.6K
Citations:
5.1K

Organization

S
Sorbonne Université
Scholars:
1.7K
Papers: 687
Citations: 8.0W
Cited Papers

Cited Papers

Adaptive finite element methods
err2024-09-04
err0
PREAI
errBonito, Andrea; Canuto, Claudio; Nochetto, Ricardo H.; Veeser, Andreas
errShare
errSave
A Hu–Washizu variational approach to self-stabilized virtual elements: 2D linear elastostatics
err2023-02-28
err0
errOAAI
errAndrea Lamperti; Massimiliano Cremonesi; Umberto Perego; Alessandro Russo; Carlo Lovadina
errShare
errSave
Hybrid High-Order methods for finite deformations of hyperelastic materials
err2018-01-20
err31
errOAAI
errAbbas, Mickael; Ern, Alexandre; Pignet, Nicolas
errShare
errSave
Deep learning
err2015-05-27
err0
PREAI
errYann LeCun; Yoshua Bengio; Geoffrey Hinton
errShare
errSave
researcher View more