Copertina

Neural network solvers for parametrized elasticity problems that conserve linear and angular momentum

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Boon, Wietse M., Franco, Nicola R., Fumagalli, Alessio
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Numerical Analysis 65N30, 74G15, 68T07
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity
di: Carstensen, Carsten, et al.
Pubblicazione: (2025)

Computational homogenization for aerogel-like polydisperse open-porous materials using neural network--based surrogate models on the microscale
di: Klawonn, Axel, et al.
Pubblicazione: (2024)

Uniformly $hp$-stable elements for the elasticity complex
di: Aznaran, Francis R. A., et al.
Pubblicazione: (2024)

Certified and accurate computation of function space norms of deep neural networks
di: Gründler, Johannes, et al.
Pubblicazione: (2026)

H(curl)-based approximation of the Stokes problem with weakly enforced no-slip boundary conditions
di: Boon, Wietse M., et al.
Pubblicazione: (2025)

$C^1$ virtual element methods on polygonal meshes with curved edges
di: da Veiga, L. Beirão, et al.
Pubblicazione: (2024)

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

The coupling of mixed and primal finite element methods for the coupled body-plate problem
di: Hu, Jun, et al.
Pubblicazione: (2025)

Computational modeling of microstructure
di: Luskin, Mitchell
Pubblicazione: (2003)

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

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

A posteriori error analysis of a robust virtual element method for stress-assisted diffusion problems
di: Dassi, Franco, et al.
Pubblicazione: (2025)

The Neural Approximated Virtual Element Method for Elasticity Problems
di: Berrone, Stefano, et al.
Pubblicazione: (2025)

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

Reconstructing relaxed configurations in elastic bodies: Mathematical formulations and numerical methods for cardiac modeling
di: Barnafi, N. A., et al.
Pubblicazione: (2023)

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

An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact
di: Fontana, Ilaria, et al.
Pubblicazione: (2024)

Subspace method based on neural networks for eigenvalue problems
di: Dai, Xiaoying, et al.
Pubblicazione: (2024)

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

The Hu-Zhang element for linear elasticity on curved domains
di: Chen, Wei, et al.
Pubblicazione: (2025)

Robust finite element methods and solvers for the Biot--Brinkman equations in vorticity form
di: Caraballo, Ruben, et al.
Pubblicazione: (2023)

Neural enrichment finite element method: A hybrid framework for problems with strong oscillations or interface problems
di: Guo, Shihan, et al.
Pubblicazione: (2026)

Lower order mixed elements for the linear elasticity problem in 2D and 3D
di: Hu, Jun, et al.
Pubblicazione: (2024)

Robust virtual element methods for coupled stress-assisted diffusion problems
di: Khot, Rekha, et al.
Pubblicazione: (2024)

Babuška's paradox in a nonlinear bending-folding model
di: Bartels, Sören, et al.
Pubblicazione: (2025)

Solvers for mixed finite element problems using Poincaré operators based on spanning trees
di: Boon, Wietse M.
Pubblicazione: (2024)

Analysis and virtual element discretisation of a Stokes/Biot--Kirchhoff bulk--surface model
di: Dassi, Franco, et al.
Pubblicazione: (2025)

Numerical Solution of Mixed-Dimensional PDEs Using a Neural Preconditioner
di: Dimola, Nunzio, et al.
Pubblicazione: (2025)

Fully mixed virtual element schemes for steady-state poroelastic stress-assisted diffusion
di: Bermudez, Isaac, et al.
Pubblicazione: (2025)

An $r$-adaptive finite element method using neural networks for parametric self-adjoint elliptic problem
di: Aballay, Danilo, et al.
Pubblicazione: (2025)

Generalized mixed and primal hybrid methods with applications to plate bending
di: Heuer, Norbert
Pubblicazione: (2024)

A Parallel iterative Algorithm for primal-dual weak Galerkin Schemes
di: Wang, Chunmei, et al.
Pubblicazione: (2024)

Low Regularity Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Equations
di: Wang, Chunmei, et al.
Pubblicazione: (2019)

A parallel solver for FSI problems with fictitious domain approach
di: Boffi, Daniele, et al.
Pubblicazione: (2023)

Deep operator network models for predicting post-burn contraction
di: Husanovic, Selma, et al.
Pubblicazione: (2024)

Interior penalty discontinuous Galerkin methods for the nearly incompressible elasticity eigenvalue problem with heterogeneous media
di: Khan, Arbaz, et al.
Pubblicazione: (2024)

A parallel solver for fluid structure interaction problems with Lagrange multiplier
di: Boffi, Daniele, et al.
Pubblicazione: (2022)

SOPTX: A High-Performance Multi-Backend Framework for Topology Optimization
di: He, Liang, et al.
Pubblicazione: (2025)

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

Expression Rates of Neural Operators for Linear Elliptic PDEs in Polytopes
di: Marcati, Carlo, et al.
Pubblicazione: (2024)