Cover Image

Compatible finite element interpolated neural networks

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Badia, Santiago, Li, Wei, Martín, Alberto F.
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Unfitted finite element interpolated neural networks
by: Li, Wei, et al.
Published: (2025)

Four-field mixed finite elements for incompressible nonlinear elasticity
by: Badia, Santiago, et al.
Published: (2026)

Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks
by: Magueresse, Alexandre, et al.
Published: (2023)

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

STLCutters.jl: A scalable geometrical framework library for unfitted finite element discretisations
by: Martorell, Pere A., et al.
Published: (2024)

Adaptive anisotropic composite quadratures for residual minimisation in neural PDE approximations
by: Badia, Santiago, et al.
Published: (2026)

High order unfitted finite element discretizations for explicit boundary representations
by: Martorell, Pere A., et al.
Published: (2023)

Space-time unfitted finite elements on moving explicit geometry representations
by: Badia, Santiago, et al.
Published: (2024)

A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations
by: Lee, David, et al.
Published: (2022)

Level-set topology optimisation with unfitted finite elements and automatic shape differentiation
by: Wegert, Zachary J., et al.
Published: (2025)

Divergence-free unfitted finite element discretisations for the Darcy problem
by: Badia, Santiago, et al.
Published: (2026)

Two-hidden-layer ReLU neural networks and finite elements
by: Jin, Pengzhan
Published: (2024)

A velocity-vorticity-pressure formulation for the steady Navier--Stokes--Brinkman--Forchheimer problem
by: Badia, Santiago, et al.
Published: (2025)

Helmholtz preconditioning for the compressible Euler equations using mixed finite elements with Lorenz staggering
by: Lee, David, et al.
Published: (2024)

Conservative semi-lagrangian finite difference scheme for transport simulations using graph neural networks
by: Chen, Yongsheng, et al.
Published: (2024)

A discrete trace theory for non-conforming polytopal hybrid discretisation methods
by: Badia, Santiago, et al.
Published: (2024)

Locally energy-stable finite element schemes for incompressible flow problems: Design and analysis for equal-order interpolations
by: Hajduk, Hennes, et al.
Published: (2024)

Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods
by: Badia, Santiago, et al.
Published: (2025)

Combining physics-informed graph neural network and finite difference for solving forward and inverse spatiotemporal PDEs
by: Zhang, Hao, et al.
Published: (2024)

Quasi-interpolators with application to postprocessing in finite element methods
by: Führer, Thomas, et al.
Published: (2024)

Stabilization-free virtual element methods based on finite element interpolation
by: Zhao, Jikun, et al.
Published: (2026)

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics
by: Busto, Saray, et al.
Published: (2024)

Superconvergence in finite element method by smoothing
by: Li, Yuwen, et al.
Published: (2026)

Mixed finite element and TPSA finite volume methods for linearized elasticity and Cosserat materials
by: Nordbotten, Jan Martin, et al.
Published: (2024)

The discrete inverse conductivity problem solved by the weights of an interpretable neural network
by: Beretta, Elena, et al.
Published: (2024)

DataTransfer: Neural network based interpolation across non-nested meshes
by: Hao, Jiaxiong, et al.
Published: (2025)

A hybrid minimizing movement and neural network approach to Willmore flow
by: Rumpf, Martin, et al.
Published: (2025)

On the accuracy of interpolation based on single-layer artificial neural networks with a focus on defeating the Runge phenomenon
by: Auricchio, Ferdinando, et al.
Published: (2023)

An Extended Galerkin analysis in finite element exterior calculus
by: Hong, Qingguo, et al.
Published: (2021)

A primal-dual adaptive finite element method for total variation minimization
by: Alkämper, Martin, et al.
Published: (2024)

Recursive algorithms for computing Birkhoff interpolation polynomials
by: Jiang, Xue, et al.
Published: (2025)

Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems
by: Averseng, Martin, et al.
Published: (2025)

Shear-flexible geometrically exact beam element based on finite differences
by: Jirasek, Milan, et al.
Published: (2024)

Error analysis for hybrid finite element/neural network discretizations
by: Kapustsin, Uladzislau, et al.
Published: (2023)

GridapROMs.jl: Efficient reduced order modelling in the Julia programming language
by: Mueller, Nicholas, et al.
Published: (2025)

Lagrangian finite elements in Sobolev-like spaces of order $3/2$
by: Li, Yifei
Published: (2025)

Convergence of finite elements for the Eyles-King-Styles model of tumour growth
by: Li, Yifei
Published: (2025)

Stable and locally mass- and momentum-conservative control-volume finite-element schemes for the Stokes problem
by: Schneider, Martin, et al.
Published: (2023)

The weak Galerkin finite element method for the Steklov eigenvalue problem
by: Li, Shusheng, et al.
Published: (2023)

Adaptive finite elements for obstacle problems
by: Gustafsson, Tom
Published: (2024)