Image de couverture de livre

A categorical embedding discontinuity-capturing shallow neural network for anisotropic elliptic interface problems

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Hu, Wei-Fan, Lin, Te-Sheng, Tseng, Yu-Hau, Lai, Ming-Chih
Format:	Preprint
Publié:	2025
Sujets:	Numerical Analysis Machine Learning
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

A hybrid neural-network and MAC scheme for Stokes interface problems
par: Chang, Che-Chia, et autres
Publié: (2023)

A shallow physics-informed neural network for solving partial differential equations on surfaces
par: Hu, Wei-Fan, et autres
Publié: (2022)

IG-PINNs: Interface-gated physics-informed neural networks for solving elliptic interface problems
par: Zheng, Jiachun, et autres
Publié: (2025)

Solving parametric elliptic interface problems via interfaced operator network
par: Wu, Sidi, et autres
Publié: (2023)

Shock capturing by anisotropic diffusion oscillation reduction
par: Wei, G. W.
Publié: (2000)

Improved randomized neural network methods with boundary processing for solving elliptic equations
par: Zhou, Huifang, et autres
Publié: (2024)

Stable quadratic generalized IsoGeometric analysis for elliptic interface problem
par: Song, Yin, et autres
Publié: (2025)

Analysis of harmonic average method for interface problems with discontinuous solutions and fluxes
par: Pan, Kejia, et autres
Publié: (2025)

A discontinuous plane wave neural network method for Helmholtz equation and time-harmonic Maxwell's equations
par: Yuan, Long, et autres
Publié: (2023)

Physics-informed neural networks for solving two-phase flow problems with moving interfaces
par: Zhai, Qijia, et autres
Publié: (2026)

Stabilizing Physics-Informed Consistency Models via Structure-Preserving Training
par: Chang, Che-Chia, et autres
Publié: (2026)

TINNs: Time-Induced Neural Networks for Solving Time-Dependent PDEs
par: Dai, Chen-Yang, et autres
Publié: (2026)

A reconstructed discontinuous approximation for distributed elliptic control problems
par: Li, Ruo, et autres
Publié: (2025)

Monotone discretization of elliptic problems with mixed derivatives on anisotropic meshes: a counterexample
par: Roos, Hans-Goerg
Publié: (2019)

A direct finite element method for elliptic interface problems
par: Hu, Jun, et autres
Publié: (2024)

A posteriori error estimator for elliptic interface problems in the fictitious formulation
par: Alshehri, Najwa, et autres
Publié: (2024)

Conservative flux reconstruction for an elliptic interface problem using CutFEM
par: Capatina, Daniela, et autres
Publié: (2026)

Augmented Lagrangian preconditioners for fictitious domain formulations of elliptic interface problems
par: Benzi, Michele, et autres
Publié: (2026)

XI-DeepONet: An operator learning method for elliptic interface problems
par: Bi, Ran, et autres
Publié: (2024)

Orthogonal greedy algorithm for linear operator learning with shallow neural network
par: Lin, Ye, et autres
Publié: (2025)

Approximation and learning of anisotropic and mixed smooth functions by deep ReLU neural networks
par: Yang, Yunfei, et autres
Publié: (2026)

An unfitted finite element method for elliptic interface problem with low regularity estimates
par: Yang, Fanyi
Publié: (2026)

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for shallow water linearized moment equations
par: Fan, Ruilin, et autres
Publié: (2025)

Weak Galerkin finite element methods for elliptic interface problems on nonconvex polygonal partitions
par: Wang, Chunmei, et autres
Publié: (2025)

HoSGFEM: High-order stable generalized finite element method for elliptic interface problem
par: Zhao, Bingying, et autres
Publié: (2025)

Sharp uniform approximation for spectral Barron functions by deep neural networks
par: Liao, Yulei, et autres
Publié: (2025)

Non-hydrostatic mesoscale atmospheric modeling by the anisotropic mesh adaptive discontinuous Galerkin method
par: Dolejsi, Vit
Publié: (2024)

A Unified Weighted-Loss Physics-Informed Neural Network for Boundary Layer Problems in Singularly Perturbed PDEs
par: Hu, Wei-Fan, et autres
Publié: (2026)

The weak Galerkin finite element method for Stokes interface problems with curved interface
par: Yang, Lin, et autres
Publié: (2022)

Subspace method based on neural networks for eigenvalue problems
par: Dai, Xiaoying, et autres
Publié: (2024)

An unconditionally stable hybridizable-embedded discontinuous Galerkin method for the phase field crystal equation
par: Saylor, Giselle, et autres
Publié: (2026)

A well-balanced positivity-preserving discontinuous Galerkin method for shallow water models with variable density
par: She, Jun, et autres
Publié: (2026)

Inf-Sup neural networks for high-dimensional elliptic PDE problems
par: Huo, Xiaokai, et autres
Publié: (2024)

Subspace method based on neural networks for solving the partial differential equation
par: Xu, Zhaodong, et autres
Publié: (2024)

Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs
par: Xu, Zhihang, et autres
Publié: (2025)

Unified interface flux evaluation in a general discontinuous Galerkin spectral element framework
par: Xia, Boyang, et autres
Publié: (2025)

The mixed discontinuous Galerkin method for the Oseen eigenvalue problem
par: Sun, Lingling, et autres
Publié: (2025)

The discrete inverse conductivity problem solved by the weights of an interpretable neural network
par: Beretta, Elena, et autres
Publié: (2024)

An entropy stable discontinuous Galerkin method for the spherical thermal shallow water equations
par: Ricardo, Kieran, et autres
Publié: (2023)

Shallow neural network yields regularization for ill-posed inverse problems
par: Wang, Lan, et autres
Publié: (2025)