Cover Image

The Neural Approximated Virtual Element Method for Elasticity Problems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Berrone, Stefano, Pintore, Moreno, Teora, Gioana
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 65N22, 65N30, 68T07
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Two continuous extensions of the Neural Approximated Virtual Element Method
by: Berrone, Stefano, et al.
Published: (2026)

The lowest-order Neural Approximated Virtual Element Method on polygonal elements
by: Berrone, Stefano, et al.
Published: (2024)

The Zipped Finite Element Method: High-order Shape Functions for Polygons
by: Berrone, Stefano, et al.
Published: (2025)

A residual a posteriori error estimate for the Stabilization-free Virtual Element Method
by: Berrone, Stefano, et al.
Published: (2025)

Neural Network Dual Norms for Minimal Residual Finite Element Methods
by: Alsobhi, Hamd, et al.
Published: (2025)

MAGNET: an open-source library for mesh agglomeration by Graph Neural Networks
by: Antonietti, Paola F., et al.
Published: (2025)

Meshfree Variational Physics Informed Neural Networks (MF-VPINN): an adaptive training strategy
by: Berrone, Stefano, et al.
Published: (2024)

Lowest order stabilization free Virtual Element Method for the 2D Poisson equation
by: Berrone, Stefano, et al.
Published: (2021)

A neuron-wise subspace correction method for the finite neuron method
by: Park, Jongho, et al.
Published: (2022)

A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media
by: Cui, Chen, et al.
Published: (2024)

Deep Learning Accelerated Algebraic Multigrid Methods for Polytopal Discretizations of Second-Order Differential Problems
by: Antonietti, Paola F., et al.
Published: (2025)

A discontinuous Galerkin plane wave neural network method for Helmholtz equation and Maxwell's equations
by: Yuan, Long, et al.
Published: (2025)

Discontinuous hybrid neural networks for the one-dimensional partial differential equations
by: Wang, Xiaoyu, et al.
Published: (2025)

A framework of discontinuous Galerkin neural networks for iteratively approximating residuals
by: Yuan, Long, et al.
Published: (2025)

A High-Order Conservative Cut Finite Element Method for Problems in Time-Dependent Domains
by: Myrbäck, Sebastian, et al.
Published: (2024)

Multiscale Neural Networks for Approximating Green's Functions
by: Hao, Wenrui, et al.
Published: (2024)

Superconvergent and Divergence-Free Mixed Finite Element Methods for The Stokes Equation
by: Chen, Long, et al.
Published: (2025)

Effective polygonal mesh generation and refinement for VEM
by: Berrone, Stefano, et al.
Published: (2024)

Deep collocation method: A framework for solving PDEs using neural networks with error control
by: Weng, Mingxing, et al.
Published: (2025)

A Deep Learning algorithm to accelerate Algebraic Multigrid methods in Finite Element solvers of 3D elliptic PDEs
by: Caldana, Matteo, et al.
Published: (2023)

Nonconforming Linear Element Method for a Generalized Tensor-Valued Stokes Equation with Application to the Triharmonic Equation
by: Gu, Ziwen, et al.
Published: (2025)

On Finite Element Methods for Heterogeneous Elliptic Problems
by: Loula, Abimael F. D., et al.
Published: (2025)

Self-adaptive physics-informed neural network for forward and inverse problems in heterogeneous porous flow
by: Aziz, Md. Abdul, et al.
Published: (2025)

Robust and Optimal Mixed Methods for a Fourth-Order Elliptic Singular Perturbation Problem
by: Huang, Xuehai, et al.
Published: (2025)

Deep Learning Based on Randomized Quasi-Monte Carlo Method for Solving Linear Kolmogorov Partial Differential Equation
by: Xiao, Jichang, et al.
Published: (2023)

3D Adaptive VEM with stabilization-free a posteriori error bounds
by: Berrone, Stefano, et al.
Published: (2024)

Construction of local reduced spaces for Friedrichs' systems via randomized training
by: Engwer, Christian, et al.
Published: (2024)

An Adaptive Finite Element DtN Method for the Acoustic-Elastic Interaction Problem in Periodic Structures
by: Lin, Lei, et al.
Published: (2025)

General Order Virtual Element Approximation for the Smagorinsky turbulence model
by: Berrone, Stefano, et al.
Published: (2025)

Stopping Criteria for the Conjugate Gradient Algorithm in High-Order Finite Element Methods
by: Guo, Yichen, et al.
Published: (2023)

Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries
by: Duprez, Michel, et al.
Published: (2025)

A Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems
by: Hauck, Moritz, et al.
Published: (2024)

A Generalized Weak Galerkin Method for Linear Elasticity with Nonpolynomial Approximations
by: Wang, Junping, et al.
Published: (2026)

A High-Order Localized Orthogonal Decomposition Method for Heterogeneous Stokes Problems
by: Hauck, Moritz, et al.
Published: (2025)

Stabilized Lagrange Multipliers for Dirichlet Boundary Conditions in Divergence Preserving Unfitted Methods
by: Frachon, Thomas, et al.
Published: (2024)

Geometric Generalization of Neural Operators from Kernel Integral Perspective
by: Han, Mingyu, et al.
Published: (2026)

Unconditionally Stable Mixed Finite Element Methods for Darcy Flow
by: Correa, Maicon R., et al.
Published: (2025)

Convergence Analysis of Adaptive Finite Element Algorithms for a Regularized Variational Model of Quasi-Static Brittle Fracture in "Strain-Limiting" Elastic Solids
by: Manohar, Ram, et al.
Published: (2025)

Extended Finite Elements for 3D-1D coupled problems via a PDE-constrained optimization approach
by: Grappein, Denise, et al.
Published: (2022)

Neural Approximate Inverse Preconditioners
by: Xu, Tianshi, et al.
Published: (2025)