A Multiple Transferable Neural Network Method with Domain Decomposition for Elliptic Interface Problems
Fuente:
arXiv
Saved in:
| Main Authors: | Lu, Tianzheng, Ju, Lili, Zhu, Liyong |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A Domain Decomposition Deep Neural Network Method with Multi-Activation Functions for Solving Elliptic and Parabolic Interface Problems
by: Zhai, Qijia
Published: (2025)
by: Zhai, Qijia
Published: (2025)
An Iterative Deep Ritz Method for Monotone Elliptic Problems
by: Hu, Tianhao, et al.
Published: (2025)
by: Hu, Tianhao, et al.
Published: (2025)
Learning Discontinuous Galerkin Solutions to Elliptic Problems via Small Linear Convolutional Neural Networks
by: Celaya, Adrian, et al.
Published: (2025)
by: Celaya, Adrian, et al.
Published: (2025)
SVD-PINNs: Transfer Learning of Physics-Informed Neural Networks via Singular Value Decomposition
by: Gao, Yihang, et al.
Published: (2022)
by: Gao, Yihang, et al.
Published: (2022)
Solving Elliptic Optimal Control Problems via Neural Networks and Optimality System
by: Dai, Yongcheng, et al.
Published: (2023)
by: Dai, Yongcheng, et al.
Published: (2023)
Posterior Concentration of Bayesian Physics-Informed Neural Networks for Elliptic PDEs
by: Zhao, Yuxuan, et al.
Published: (2026)
by: Zhao, Yuxuan, et al.
Published: (2026)
Revisiting Orbital Minimization Method for Neural Operator Decomposition
by: Ryu, J. Jon, et al.
Published: (2025)
by: Ryu, J. Jon, et al.
Published: (2025)
Matched Asymptotic Expansions‐Based Transferable Neural Networks for Singular Perturbation Problems
by: Zhequan Shen, et al.
Published: (2026)
by: Zhequan Shen, et al.
Published: (2026)
eXtended Physics Informed Neural Network Method for Fracture Mechanics Problems
by: Lotfalian, Amin, et al.
Published: (2025)
by: Lotfalian, Amin, et al.
Published: (2025)
Learning Singularity-Encoded Green's Functions with Application to Iterative Methods
by: Sun, Qi, et al.
Published: (2025)
by: Sun, Qi, et al.
Published: (2025)
N-Adaptive Ritz Method: A Neural Network Enriched Partition of Unity for Boundary Value Problems
by: Baek, Jonghyuk, et al.
Published: (2024)
by: Baek, Jonghyuk, et al.
Published: (2024)
An End-to-End Deep Learning Method for Solving Nonlocal Allen-Cahn and Cahn-Hilliard Phase-Field Models
by: Geng, Yuwei, et al.
Published: (2024)
by: Geng, Yuwei, et al.
Published: (2024)
Matrix Decomposition and Applications
by: Lu, Jun
Published: (2022)
by: Lu, Jun
Published: (2022)
Greedy Algorithm for Neural Networks for Indefinite Elliptic Problems
by: Hong, Qingguo, et al.
Published: (2024)
by: Hong, Qingguo, et al.
Published: (2024)
A Nonoverlapping Domain Decomposition Method for Extreme Learning Machines: Elliptic Problems
by: Lee, Chang-Ock, et al.
Published: (2024)
by: Lee, Chang-Ock, et al.
Published: (2024)
WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains
by: Zhu, Bokai, et al.
Published: (2026)
by: Zhu, Bokai, et al.
Published: (2026)
ZNO: Stable Rational Neural Operators in the Z-Domain for Discrete-Time Dynamics
by: Zhu, Xianli, et al.
Published: (2026)
by: Zhu, Xianli, et al.
Published: (2026)
Physics-Informed Neural Networks for High-Frequency and Multi-Scale Problems using Transfer Learning
by: Mustajab, Abdul Hannan, et al.
Published: (2024)
by: Mustajab, Abdul Hannan, et al.
Published: (2024)
Solving the Wide-band Inverse Scattering Problem via Equivariant Neural Networks
by: Zhang, Borong, et al.
Published: (2022)
by: Zhang, Borong, et al.
Published: (2022)
The Immersed Discontinuous Galerkin Method for Elliptic Interface Problems
by: Yang, Lin, et al.
Published: (2026)
by: Yang, Lin, et al.
Published: (2026)
Extended Interface Physics-Informed Neural Networks Method for Moving Interface Problems
by: Bi, Ran, et al.
Published: (2025)
by: Bi, Ran, et al.
Published: (2025)
An Unfitted Interface Penalty DG--FE Method for Elliptic Interface Problems
by: Han, Juan, et al.
Published: (2023)
by: Han, Juan, et al.
Published: (2023)
Solutions to Elliptic and Parabolic Problems via Finite Difference Based Unsupervised Small Linear Convolutional Neural Networks
by: Celaya, Adrian, et al.
Published: (2023)
by: Celaya, Adrian, et al.
Published: (2023)
Pychop: Emulating Low-Precision Arithmetic in Numerical Methods and Neural Networks
by: Carson, Erin, et al.
Published: (2025)
by: Carson, Erin, et al.
Published: (2025)
Solving Forward and Inverse Problems of Contact Mechanics using Physics-Informed Neural Networks
by: Sahin, T., et al.
Published: (2023)
by: Sahin, T., et al.
Published: (2023)
Learning Domain-Independent Green's Function For Elliptic Partial Differential Equations
by: Negi, Pawan, et al.
Published: (2024)
by: Negi, Pawan, et al.
Published: (2024)
Affine Invariant Ensemble Transform Methods to Improve Predictive Uncertainty in Neural Networks
by: Bhandari, Diksha, et al.
Published: (2023)
by: Bhandari, Diksha, et al.
Published: (2023)
Data-Guided Physics-Informed Neural Networks for Solving Inverse Problems in Partial Differential Equations
by: Zhou, Wei, et al.
Published: (2024)
by: Zhou, Wei, et al.
Published: (2024)
Neural-POD: A Plug-and-Play Neural Operator Framework for Infinite-Dimensional Functional Nonlinear Proper Orthogonal Decomposition
by: Mou, Changhong, et al.
Published: (2026)
by: Mou, Changhong, et al.
Published: (2026)
Preconditioning for Physics-Informed Neural Networks
by: Liu, Songming, et al.
Published: (2024)
by: Liu, Songming, et al.
Published: (2024)
Solving Roughly Forced Nonlinear PDEs via Misspecified Kernel Methods and Neural Networks
by: Baptista, Ricardo, et al.
Published: (2025)
by: Baptista, Ricardo, et al.
Published: (2025)
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks
by: Jin, Bangti, et al.
Published: (2025)
by: Jin, Bangti, et al.
Published: (2025)
Data-Parallel Neural Network Training via Nonlinearly Preconditioned Trust-Region Method
by: Alegría, Samuel A. Cruz, et al.
Published: (2025)
by: Alegría, Samuel A. Cruz, et al.
Published: (2025)
Multigrid Preconditioning for FD-DLM Method in Elliptic Interface Problems
by: Alshehri, Najwa, et al.
Published: (2025)
by: Alshehri, Najwa, et al.
Published: (2025)
The Immersed Skeletal Finite Element Method for Elliptic Interface Problems
by: Yang, Lin, et al.
Published: (2024)
by: Yang, Lin, et al.
Published: (2024)
Graph Neural Regularizers for PDE Inverse Problems
by: Lauga, William, et al.
Published: (2025)
by: Lauga, William, et al.
Published: (2025)
On the Dimension-Free Approximation of Deep Neural Networks for Symmetric Korobov Functions
by: Lu, Yulong, et al.
Published: (2025)
by: Lu, Yulong, et al.
Published: (2025)
Green Multigrid Network
by: Lin, Ye, et al.
Published: (2024)
by: Lin, Ye, et al.
Published: (2024)
$ε$-rank and the Staircase Phenomenon: New Insights into Neural Network Training Dynamics
by: Yang, Jiang, et al.
Published: (2024)
by: Yang, Jiang, et al.
Published: (2024)
A Numerical Method for Coupling Parameterized Physics-Informed Neural Networks and FDM for Advanced Thermal-Hydraulic System Simulation
by: Shin, Jeesuk, et al.
Published: (2026)
by: Shin, Jeesuk, et al.
Published: (2026)
Similar Items
-
A Domain Decomposition Deep Neural Network Method with Multi-Activation Functions for Solving Elliptic and Parabolic Interface Problems
by: Zhai, Qijia
Published: (2025) -
An Iterative Deep Ritz Method for Monotone Elliptic Problems
by: Hu, Tianhao, et al.
Published: (2025) -
Learning Discontinuous Galerkin Solutions to Elliptic Problems via Small Linear Convolutional Neural Networks
by: Celaya, Adrian, et al.
Published: (2025) -
SVD-PINNs: Transfer Learning of Physics-Informed Neural Networks via Singular Value Decomposition
by: Gao, Yihang, et al.
Published: (2022) -
Solving Elliptic Optimal Control Problems via Neural Networks and Optimality System
by: Dai, Yongcheng, et al.
Published: (2023)