Cover Image

A Convolutional Hierarchical Deep-learning Neural Network (C-HiDeNN) Framework for Non-linear Finite Element Analysis

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liu, Yingjian, Pabbala, Monish Yadav, Guo, Jiachen, Park, Chanwook, Domel, Gino, Liu, Wing Kam, Qian, Dong
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Explainable Hierarchical Deep Learning Neural Networks (Ex-HiDeNN)
by: Batley, Reza T., et al.
Published: (2025)

Multi-Patch Isogeometric Convolution Hierarchical Deep-learning Neural Network
by: Zhang, Lei, et al.
Published: (2024)

Convolutional Hierarchical Deep Learning Neural Networks-Tensor Decomposition (C-HiDeNN-TD): a scalable surrogate modeling approach for large-scale physical systems
by: Guo, Jiachen, et al.
Published: (2024)

Bayesian Interpolating Neural Network (B-INN): a scalable and reliable Bayesian model for large-scale physical systems
by: Park, Chanwook, et al.
Published: (2026)

Large language model-empowered next-generation computer-aided engineering
by: Guo, Jiachen, et al.
Published: (2025)

MultiLevel Variational MultiScale (ML-VMS) framework for large-scale simulation
by: Zhang, Lei, et al.
Published: (2025)

Robust Finite Elements for linearized Magnetohydrodynamics
by: da Veiga, L. Beirão, et al.
Published: (2023)

Interpolating Neural Network-Tensor Decomposition (INN-TD): a scalable and interpretable approach for large-scale physics-based problems
by: Guo, Jiachen, et al.
Published: (2025)

Can Neural Networks learn Finite Elements?
by: Novo, Julia, et al.
Published: (2024)

Multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM). Theory and applications to upscaling of two-phase flow
by: Kobaisi, Mohammed Al, et al.
Published: (2026)

A New Mixed Finite Element Method For The Cahn-Hilliard Equation
by: Liu, Zhen, et al.
Published: (2024)

High Accuracy Techniques Based Adaptive Finite Element Methods for Elliptic PDEs
by: Xiao, Jingjing, et al.
Published: (2025)

Regularization of linear machine learning problems
by: Liu, S., et al.
Published: (2024)

The Tempered Finite Element Method
by: Quiriny, Antoine, et al.
Published: (2024)

Adaptive Finite Element Methods
by: Bonito, Andrea, et al.
Published: (2024)

A Mini Immersed Finite Element Method for Two-Phase Stokes Problems on Cartesian Meshes
by: Ji, Haifeng, et al.
Published: (2023)

An Arbitrarily High-Order Fully Well-balanced Hybrid Finite Element-Finite Volume Method for a One-dimensional Blood Flow Model
by: Liu, Yongle, et al.
Published: (2024)

A Machine Learning and Finite Element Framework for Inverse Elliptic PDEs via Dirichlet-to-Neumann Mapping
by: Park, Dabin, et al.
Published: (2025)

Well-Posedness and Finite Element Approximation for the Landau-Lifshitz-Gilbert Equation with Spin-Torques
by: Vinod, Noah, et al.
Published: (2024)

Finite Element Complexes in Two Dimensions
by: Chen, Long, et al.
Published: (2022)

Recovery Techniques for Finite Element Methods
by: Guo, Hailong, et al.
Published: (2024)

A Finite Element Method for Elliptic Hemivariational Inequalities in Non-isotropic and Heterogeneous Semipermeable Media
by: Li, Ban, et al.
Published: (2026)

A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations
by: Li, Ruo, et al.
Published: (2024)

Rust Implementation of Finite Element Exterior Calculus on Coordinate-Free Simplicial Complexes
by: Wirth, Luis
Published: (2025)

Finite Element Representation Network (FERN) for Operator Learning with a Localized Trainable Basis
by: Zhang, Zecheng, et al.
Published: (2025)

Finite Element Methods for the Laplace-Beltrami Operator
by: Bonito, Andrea, et al.
Published: (2019)

Adaptive Finite Element Interpolated Neural Networks
by: Badia, Santiago, et al.
Published: (2024)

Pressure and convection robust Finite Elements for Magnetohydrodynamics
by: da Veiga, L. Beirão, et al.
Published: (2024)

A Convergent Finite Element Scheme for the Q-Tensor Model of Liquid Crystals Subjected to an Electric Field
by: Hirsch, Max, et al.
Published: (2023)

Auto-Stabilized Weak Galerkin Finite Element Methods for Biot's consolidation model on Non-Convex Polytopal Meshes
by: Wang, Chunmei, et al.
Published: (2026)

Explicit Planar Finite Element Elasticity Complexes and $C^1$ Elements on Barycentric Refinements
by: Chen, Chunyu, et al.
Published: (2026)

Statistical conservation laws for scalar model problems: Hierarchical evolution equations
by: Huang, Qian, et al.
Published: (2025)

High-Order Interior Penalty Finite Element Methods for Fourth-Order Phase-Field Models in Fracture Analysis
by: Tian, Tian, et al.
Published: (2025)

Convergence Analysis of Virtual Element Methods for the Sobolev Equation with Convection
by: Kumar, Ankit, et al.
Published: (2025)

Finite Element Methods for Elastic Contact: Penalty and Nitsche
by: Gustafsson, Tom, et al.
Published: (2025)

Finite Element Theory for PHIMATS
by: Hussein, Abdelrahman
Published: (2025)

Stationarity preserving nodal Finite Element methods for multi-dimensional linear hyperbolic balance laws via a Global Flux quadrature formulation
by: Barsukow, Wasilij, et al.
Published: (2025)

Unconditionally optimal error Estimate of a linearized Second-order Fully Discrete Finite Element Method for the bioconvection flows with concentration dependent viscosity
by: Li, Chenyang, et al.
Published: (2025)

Asymptotic analysis and design of linear elastic shell lattice metamaterials
by: Zhang, Di, et al.
Published: (2025)

Parallel in time partially explicit splitting scheme for high contrast linear multiscale diffusion problems
by: Wang, Yating, et al.
Published: (2024)