:: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Xiao, Shanshan, Li, Ye, Huang, Zhongyi, Wu, Hao
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis
Online Access:	https://arxiv.org/abs/2604.04061
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Tailored Finite Point Operator Networks for Interface problems
by: Li, Ye, et al.
Published: (2024)

Physics-Informed Tailored Finite Point Operator Network for Parametric Interface Problems
by: Du, Ting, et al.
Published: (2024)

Component Fourier Neural Operator for Singularly Perturbed Differential Equations
by: Li, Ye, et al.
Published: (2024)

A Priori Estimation of the Approximation, Optimization and Generalization Errors of Random Neural Networks for Solving Partial Differential Equations
by: Xu, Xianliang, et al.
Published: (2024)

Refined generalization analysis of the Deep Ritz Method and Physics-Informed Neural Networks
by: Xu, Xianliang, et al.
Published: (2024)

An Unfitted Interface Penalty DG--FE Method for Elliptic Interface Problems
by: Han, Juan, et al.
Published: (2023)

UFO: A Domain-Unification-Free Operator Framework for Generalized Operator Learning
by: Qiao, Hanli, et al.
Published: (2026)

Physics-Informed Geometry-Aware Neural Operator
by: Zhong, Weiheng, et al.
Published: (2024)

Fourier Neural Operator with Learned Deformations for PDEs on General Geometries
by: Li, Zongyi, et al.
Published: (2022)

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries
by: Zeng, Chenyu, et al.
Published: (2025)

Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients
by: Florian, Francesco, et al.
Published: (2023)

A Domain Decomposition Deep Neural Network Method with Multi-Activation Functions for Solving Elliptic and Parabolic Interface Problems
by: Zhai, Qijia
Published: (2025)

A Multiple Transferable Neural Network Method with Domain Decomposition for Elliptic Interface Problems
by: Lu, Tianzheng, et al.
Published: (2025)

BIAN: A Deep Learning Method to Solve Inverse Problems Using Only Boundary Information
by: Chen, Feng, et al.
Published: (2025)

Interface Reduction for Elliptic Interface Problems with Conservative Flux Reconstruction
by: Attanayake, C., et al.
Published: (2026)

Transcending Sparse Measurement Limits: Operator-Learning-Driven Data Super-Resolution for Inverse Source Problem
by: Pan, Guanyu, et al.
Published: (2025)

Extended Interface Physics-Informed Neural Networks Method for Moving Interface Problems
by: Bi, Ran, et al.
Published: (2025)

Structure-Preserving Operator Learning: Modeling the Collision Operator of Kinetic Equations
by: Lee, Jae Yong, et al.
Published: (2024)

Learning solution operators of PDEs defined on varying domains via MIONet
by: Xiao, Shanshan, et al.
Published: (2024)

Discrete Solution Operator Learning for Geometry-Dependent PDEs
by: Bai, Jinshuai, et al.
Published: (2026)

Reduced-Basis Deep Operator Learning for Parametric PDEs with Independently Varying Boundary and Source Data
by: Wang, Yueqi, et al.
Published: (2025)

WG-IDENT: Weak Group Identification of PDEs with Varying Coefficients
by: Tang, Cheng, et al.
Published: (2025)

Deep Domain Decomposition Method for Solving the Variational Inequality Problems
by: Wang, Yiyang, et al.
Published: (2026)

The Immersed Discontinuous Galerkin Method for Elliptic Interface Problems
by: Yang, Lin, et al.
Published: (2026)

A Correction Function-based KFBI Method for Brinkman Interface Problems
by: Zhou, Han, et al.
Published: (2026)

Parametric-ROM of Structures with Varying Geometry using Direct Parameterization of Invariant Manifolds
by: Martins, Tiago, et al.
Published: (2025)

A Posteriori Error Estimation Improved by a Reconstruction Operator for the Stokes Optimal Control Problem
by: Li, Jingshi, et al.
Published: (2025)

A Compact Coupling Interface Method with Accurate Gradient Approximation for Elliptic Interface Problems
by: Zhang, Ray Zirui, et al.
Published: (2021)

The Immersed Skeletal Finite Element Method for Elliptic Interface Problems
by: Yang, Lin, et al.
Published: (2024)

Multigrid Preconditioning for FD-DLM Method in Elliptic Interface Problems
by: Alshehri, Najwa, et al.
Published: (2025)

Higher-Order Multiscale Computational Method for Multi-Continuum Problems in Highly Heterogeneous Media
by: Dong, Hao, et al.
Published: (2026)

Finite Element Eigenfunction Network (FEENet): A Hybrid Framework for Solving PDEs on Complex Geometries
by: Li, Shiyuan, et al.
Published: (2026)

Data Generation-based Operator Learning for Solving Partial Differential Equations on Unbounded Domains
by: Wang, Jihong, et al.
Published: (2023)

Geometry-based Multi-beam Survey Line Layout Problem
by: Li, Chuangqi, et al.
Published: (2024)

A High Order Geometry Conforming Immersed Finite Element for Elliptic Interface Problems
by: Adjerid, Slimane, et al.
Published: (2023)

A Nonconforming Finite Element Method for Elliptic Interface Problems on Locally Anisotropic Meshes
by: Geng, Chenchen, et al.
Published: (2025)

A Local Mesh Modification Strategy for Interface Problems with Application to Shape and Topology Optimization
by: Gangl, Peter, et al.
Published: (2016)

An Improved Robin-Robin Coupling Method for Parabolic-Parabolic Interface Problems
by: Burman, Erik, et al.
Published: (2025)

An Enriched Immersed Finite Element Method for 3D Interface Problems
by: Guo, Ruchi, et al.
Published: (2025)

A deformation-based framework for learning solution mappings of PDEs defined on varying domains
by: Xiao, Shanshan, et al.
Published: (2024)