Solving Poisson Problems in Polygonal Domains with Singularity Enriched Physics Informed Neural Networks
Fuente:
arXiv
Saved in:
| Main Authors: | Hu, Tianhao, Jin, Bangti, Zhou, Zhi |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Point Source Identification Using Singularity Enriched Neural Networks
by: Hu, Tianhao, et al.
Published: (2024)
by: Hu, Tianhao, et al.
Published: (2024)
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)
Conditional Stability and Numerical Reconstruction of a Parabolic Inverse Source Problem Using Carleman Estimates
by: Hu, Tianhao, et al.
Published: (2025)
by: Hu, Tianhao, et al.
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)
Solving Inverse Acoustic Obstacle Scattering Problem with Phaseless Far-Field Measurement Using Deep Neural Network Surrogates
by: Fan, Yuxin, et al.
Published: (2025)
by: Fan, Yuxin, 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)
Solving Inverse Obstacle Scattering Problem with Latent Surface Representations
by: Chen, Junqing, et al.
Published: (2023)
by: Chen, Junqing, et al.
Published: (2023)
Imaging Anisotropic Conductivity from Internal Measurements with Mixed Least-Squares Deep Neural Networks
by: Cen, Siyu, et al.
Published: (2024)
by: Cen, Siyu, et al.
Published: (2024)
Early Stopping of Untrained Convolutional Neural Networks
by: Jahn, Tim, et al.
Published: (2024)
by: Jahn, Tim, et al.
Published: (2024)
Dual Variational Neural Network for the $p$-Laplace Problem
by: Hu, Tianhao, et al.
Published: (2026)
by: Hu, Tianhao, et al.
Published: (2026)
Numerical Approximation and Analysis of the Inverse Robin Problem Using the Kohn-Vogelius Method
by: Burman, Erik, et al.
Published: (2025)
by: Burman, Erik, et al.
Published: (2025)
Optimizing Coarse Propagators in Parareal Algorithms
by: Jin, Bangti, et al.
Published: (2023)
by: Jin, Bangti, et al.
Published: (2023)
A Unified Weighted-Loss Physics-Informed Neural Network for Boundary Layer Problems in Singularly Perturbed PDEs
by: Hu, Wei-Fan, et al.
Published: (2026)
by: Hu, Wei-Fan, et al.
Published: (2026)
Stochastic Convergence Analysis of Inverse Potential Problem
by: Jin, Bangti, et al.
Published: (2024)
by: Jin, Bangti, et al.
Published: (2024)
Inverse Coefficient Problem for One-Dimensional Subdiffusion with Data on Disjoint Sets in Time
by: Cen, Siyu, et al.
Published: (2024)
by: Cen, Siyu, et al.
Published: (2024)
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)
Stochastic Gradient Descent for Nonlinear Inverse Problems in Banach Spaces
by: Jin, Bangti, et al.
Published: (2026)
by: Jin, Bangti, et al.
Published: (2026)
Numerical Analysis of Space-Time Dependent Source Identification in Subdiffusion Equations
by: Cen, Siyu, et al.
Published: (2026)
by: Cen, Siyu, et al.
Published: (2026)
An Iterative Direct Sampling Method for Reconstructing Moving Inhomogeneities in Parabolic Problems
by: Jin, Bangti, et al.
Published: (2025)
by: Jin, Bangti, et al.
Published: (2025)
On an Inverse Problem of the Generalized Bathtub Model of Network Trip Flows
by: Huang, Kuang, et al.
Published: (2024)
by: Huang, Kuang, et al.
Published: (2024)
Numerical Analysis of Unsupervised Learning Approaches for Parameter Identification in PDEs
by: Cen, Siyu, et al.
Published: (2025)
by: Cen, Siyu, et al.
Published: (2025)
Numerical Recovery of the Diffusion Coefficient in Diffusion Equations from Terminal Measurement
by: Jin, Bangti, et al.
Published: (2024)
by: Jin, Bangti, et al.
Published: (2024)
Regularity Analysis and High-Order Time Stepping Scheme for Quasilinear Subdiffusion
by: Jin, Bangti, et al.
Published: (2024)
by: Jin, Bangti, et al.
Published: (2024)
Deep Ritz Physics-Informed Neural Network Method for Solving the Variational Inequality
by: Zhou, Qijia, et al.
Published: (2026)
by: Zhou, Qijia, et al.
Published: (2026)
A Stable Iterative Direct Sampling Method for Elliptic Inverse Problems with Partial Cauchy Data
by: Jin, Bangti, et al.
Published: (2025)
by: Jin, Bangti, et al.
Published: (2025)
Singular Layer Physics-Informed Neural Network Method for Convection-Dominated Boundary Layer Problems in Two Dimensions
by: Gie, Gung-Min, et al.
Published: (2023)
by: Gie, Gung-Min, et al.
Published: (2023)
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)
On the convergence of stochastic variance reduced gradient for linear inverse problems
by: Jin, Bangti, et al.
Published: (2025)
by: Jin, Bangti, et al.
Published: (2025)
Iterative Direct Sampling Method for Elliptic Inverse Problems with Limited Cauchy Data
by: Ito, Kazufumi, et al.
Published: (2025)
by: Ito, Kazufumi, et al.
Published: (2025)
Point Source Identification in Subdiffusion from A Posteriori Internal Measurement
by: Huang, Kuang, et al.
Published: (2024)
by: Huang, Kuang, et al.
Published: (2024)
A Graded Mesh Refinement for 2D Poisson's Equation on Non Convex Polygonal Domains
by: Wickramasinghe, Charuka D., et al.
Published: (2024)
by: Wickramasinghe, Charuka D., et al.
Published: (2024)
Adaptive Approximations of Inclusions in a Semilinear Elliptic Problem Related to Cardiac Electrophysiology
by: Jin, Bangti, et al.
Published: (2025)
by: Jin, Bangti, et al.
Published: (2025)
Solving PDEs on Spheres with Physics-Informed Convolutional Neural Networks
by: Lei, Guanhang, et al.
Published: (2023)
by: Lei, Guanhang, et al.
Published: (2023)
Deep Domain Decomposition Method for Solving the Variational Inequality Problems
by: Wang, Yiyang, et al.
Published: (2026)
by: Wang, Yiyang, et al.
Published: (2026)
RUNNs: Ritz-Uzawa Neural Networks for Solving Variational Problems
by: Herrera, Pablo, et al.
Published: (2026)
by: Herrera, Pablo, 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)
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)
Direct Algorithms for Reconstructing Small Conductivity Inclusions in Subdiffusion
by: Hong, Jiho, et al.
Published: (2025)
by: Hong, Jiho, et al.
Published: (2025)
Theory and Fast Learned Solver for $\ell^1$-TV Regularization
by: Liu, Xinling, et al.
Published: (2024)
by: Liu, Xinling, et al.
Published: (2024)
On the contraction rate of the posterior distribution for nonlinear PDE parameter identification
by: Fan, Yuxin, et al.
Published: (2026)
by: Fan, Yuxin, et al.
Published: (2026)
Similar Items
-
Point Source Identification Using Singularity Enriched Neural Networks
by: Hu, Tianhao, et al.
Published: (2024) -
Solving Elliptic Optimal Control Problems via Neural Networks and Optimality System
by: Dai, Yongcheng, et al.
Published: (2023) -
Conditional Stability and Numerical Reconstruction of a Parabolic Inverse Source Problem Using Carleman Estimates
by: Hu, Tianhao, et al.
Published: (2025) -
An Iterative Deep Ritz Method for Monotone Elliptic Problems
by: Hu, Tianhao, et al.
Published: (2025) -
Solving Inverse Acoustic Obstacle Scattering Problem with Phaseless Far-Field Measurement Using Deep Neural Network Surrogates
by: Fan, Yuxin, et al.
Published: (2025)