:: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Zhang, Zecheng, Liu, Hao, Fu, Guosheng, Schaeffer, Hayden, Lin, Guang
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	https://arxiv.org/abs/2510.26962
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation
by: Sun, Jingmin, et al.
Published: (2024)

A Deep Learning Framework for Multi-Operator Learning: Architectures and Approximation Theory
by: Weihs, Adrien, et al.
Published: (2025)

PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics
by: Liu, Yuxuan, et al.
Published: (2024)

Regularized Random Fourier Features and Finite Element Reconstruction for Operator Learning in Sobolev Space
by: Yu, Xinyue, et al.
Published: (2025)

Cauchy Random Features for Operator Learning in Sobolev Space
by: Liao, Chunyang, et al.
Published: (2025)

MODNO: Multi Operator Learning With Distributed Neural Operators
by: Zhang, Zecheng
Published: (2024)

Conformalized-DeepONet: A Distribution-Free Framework for Uncertainty Quantification in Deep Operator Networks
by: Moya, Christian, et al.
Published: (2024)

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

MVNN: A Measure-Valued Neural Network for Learning McKean-Vlasov Dynamics from Particle Data
by: Lyu, Liyao, et al.
Published: (2026)

VICON: Vision In-Context Operator Networks for Multi-Physics Fluid Dynamics Prediction
by: Cao, Yadi, et al.
Published: (2024)

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics
by: Liu, Yuxuan, et al.
Published: (2025)

A Schrödinger-Based Dispersive Regularization Approach for Numerical Simulation of One-Dimensional Shallow Water Equations
by: Fu, Guosheng, et al.
Published: (2026)

Finite Element Methods for the Laplace-Beltrami Operator
by: Bonito, Andrea, et al.
Published: (2019)

R-Adaptive Mesh Optimization to Enhance Finite Element Basis Compression
by: Harper, Graham, et al.
Published: (2024)

Construction of Basis Functions for the Geometry Conforming Immersed Finite Element Method
by: Adjerid, Slimane, et al.
Published: (2025)

Continuous 3D Finite Element Subgrid Basis Functions for Discontinuous Galerkin Methods on Polyhedral Meshes
by: Michel, Sixtine, et al.
Published: (2026)

Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs
by: Zhao, Xuxiang, et al.
Published: (2026)

LegONet: Plug-and-Play Structure-Preserving Neural Operator Blocks for Compositional PDE Learning
by: Zhang, Jiahao, et al.
Published: (2026)

Positivity-Preserving and Entropy-Stable Oscillation-Eliminating DGSEM for the Compressible Euler Equations on Curvilinear Meshes with Adaptive Mesh Refinement
by: Yang, Jieling, et al.
Published: (2026)

An entropy-stable oscillation-eliminating dgsem for the euler equations on curvilinear meshes
by: Yang, Jielin, et al.
Published: (2026)

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions
by: Negrini, Elisa, et al.
Published: (2025)

Pretrain Finite Element Method: A Pretraining and Warm-start Framework for PDEs via Physics-Informed Neural Operators
by: Wang, Yizheng, et al.
Published: (2026)

Can Neural Networks learn Finite Elements?
by: Novo, Julia, et al.
Published: (2024)

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

DiLO: Decoupling Generative Priors and Neural Operators via Diffusion Latent Optimization for Inverse Problems
by: Liu, Haibo, et al.
Published: (2026)

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

A Comparison Between Meshless Radial Basis Function Collocation Method and Finite Element Method for Solving Poisson and Stokes Problems
by: Karakan, Ismet, et al.
Published: (2020)

Recovery Techniques for Finite Element Methods
by: Guo, Hailong, et al.
Published: (2024)

Learning Operators through Coefficient Mappings in Fixed Basis Spaces
by: Chen, Chuqi, et al.
Published: (2025)

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

Optimal Local Error Estimates for Finite Element Methods with Measure-Valued Sources
by: Gao, Huadong, et al.
Published: (2026)

A New Mixed Finite Element Method For The Cahn-Hilliard Equation
by: Liu, Zhen, et al.
Published: (2024)

Adaptive Basis-inspired Deep Neural Network for Solving Partial Differential Equations with Localized Features
by: Li, Ke, et al.
Published: (2024)

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators
by: Burman, Erik, et al.
Published: (2024)

The Tempered Finite Element Method
by: Quiriny, Antoine, et al.
Published: (2024)

Adaptive Finite Element Methods
by: Bonito, Andrea, et al.
Published: (2024)

Implementation and Basis Construction for Smooth Finite Element Spaces
by: Chen, Chunyu, et al.
Published: (2025)

Wavelet-based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations
by: Fu, Shubin, et al.
Published: (2023)

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

fPINN-DeepONet: A Physics-Informed Operator Learning Framework for Multi-term Time-fractional Mixed Diffusion-wave Equations
by: Lu, Binghang, et al.
Published: (2026)