Convolutional-neural-operator-based transfer learning for solving PDEs
Fuente:
arXiv
Saved in:
| Main Authors: | Fan, Peng, Pang, Guofei |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Physics-Informed Deep Inverse Operator Networks for Solving PDE Inverse Problems
by: Cho, Sung Woong, et al.
Published: (2024)
by: Cho, Sung Woong, et al.
Published: (2024)
IGA-ODIL: Optimizing DIscretre robust Loss with Isogeometric Analysis to solve forward and inverse problems faster using machine learning tools
by: Paszyński, Maciej, et al.
Published: (2026)
by: Paszyński, Maciej, et al.
Published: (2026)
High-order temporal parametric finite element methods for simulating solid-state dewetting
by: Gan, Xiaowen, et al.
Published: (2025)
by: Gan, Xiaowen, et al.
Published: (2025)
Analysis and improvement of a semi-Lagrangian exponential scheme for the shallow-water equations on the rotating sphere
by: Steinstraesser, João Guilherme Caldas, et al.
Published: (2024)
by: Steinstraesser, João Guilherme Caldas, et al.
Published: (2024)
Collocation-based Robust Variational Physics-Informed Neural Networks (CRVPINN)
by: Łoś, Marcin, et al.
Published: (2024)
by: Łoś, Marcin, et al.
Published: (2024)
Python library supporting Discrete Variational Formulations and training solutions with Collocation-based Robust Variational Physics Informed Neural Networks (DVF-CRVPINN)
by: Służalec, Tomasz, et al.
Published: (2026)
by: Służalec, Tomasz, et al.
Published: (2026)
Learning a robust shape parameter for RBF approximation
by: Veiga, Maria Han, et al.
Published: (2024)
by: Veiga, Maria Han, et al.
Published: (2024)
A data driven Koopman-Schur decomposition for computational analysis of nonlinear dynamics
by: Drmač, Zlatko, et al.
Published: (2023)
by: Drmač, Zlatko, et al.
Published: (2023)
Augmenting MRI scan data with real-time predictions of glioblastoma brain tumor evolution using faster exponential time integrators
by: Pabisz, Magdalena, et al.
Published: (2024)
by: Pabisz, Magdalena, et al.
Published: (2024)
A convergence framework for energy minimisation of linear self-adjoint elliptic PDEs in nonlinear approximation spaces
by: Magueresse, Alexandre, et al.
Published: (2025)
by: Magueresse, Alexandre, et al.
Published: (2025)
Small noise limits of Markov chains and the PageRank
by: Borkar, Vivek S, et al.
Published: (2025)
by: Borkar, Vivek S, et al.
Published: (2025)
Semi-Lagrangian Finite-Element Exterior Calculus for Incompressible Flows
by: Tonnon, Wouter, et al.
Published: (2023)
by: Tonnon, Wouter, et al.
Published: (2023)
A Deep Uzawa-Lagrange Multiplier Approach for Boundary Conditions in PINNs and Deep Ritz Methods
by: Makridakis, Charalambos G., et al.
Published: (2024)
by: Makridakis, Charalambos G., et al.
Published: (2024)
Uncertainty quantification in the Henry problem using the multilevel Monte Carlo method
by: Logashenko, Dmitry, et al.
Published: (2024)
by: Logashenko, Dmitry, et al.
Published: (2024)
Optimal error analysis of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs
by: Tomar, Aditi, et al.
Published: (2023)
by: Tomar, Aditi, et al.
Published: (2023)
On Convergence of a Three-Layer Semi-Discrete Scheme for the Nonlinear Dynamic String Equation of Kirchhoff-Type with Time-Dependent Coefficients
by: Rogava, Jemal, et al.
Published: (2023)
by: Rogava, Jemal, et al.
Published: (2023)
Energy minimisation using overlapping tensor-product free-knot B-splines
by: Magueresse, Alexandre, et al.
Published: (2025)
by: Magueresse, Alexandre, et al.
Published: (2025)
Scale-free congestion clusters in large-scale traffic networks: a continuum modeling study
by: Chiba, Yuki, et al.
Published: (2026)
by: Chiba, Yuki, et al.
Published: (2026)
HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations
by: Shikhman, Lennon J.
Published: (2026)
by: Shikhman, Lennon J.
Published: (2026)
The Distributed and Unified Numerics Environment (DUNE), Version 2.10
by: Blatt, Markus, et al.
Published: (2025)
by: Blatt, Markus, et al.
Published: (2025)
Stratified Sampling Algorithms for Machine Learning Methods in Solving Two-scale Partial Differential Equations
by: Avilés, Eddel Elí Ojeda, et al.
Published: (2024)
by: Avilés, Eddel Elí Ojeda, et al.
Published: (2024)
Neural network Approximations for Reaction-Diffusion Equations -- Homogeneous Neumann Boundary Conditions and Long-time Integrations
by: Avilés, Eddel Elí Ojeda, et al.
Published: (2024)
by: Avilés, Eddel Elí Ojeda, et al.
Published: (2024)
Nonconforming virtual element method for general second-order elliptic problems on curved domain
by: Liu, Yi, et al.
Published: (2024)
by: Liu, Yi, et al.
Published: (2024)
Reduced basis solvers for unfitted methods on parameterized domains
by: Mueller, Nicholas, et al.
Published: (2025)
by: Mueller, Nicholas, et al.
Published: (2025)
A tensor-train reduced basis solver for parameterized partial differential equations on Cartesian grids
by: Mueller, Nicholas, et al.
Published: (2024)
by: Mueller, Nicholas, et al.
Published: (2024)
A Semismooth Newton Solver and its application to an $hp$-FE Discretization in Elastoplasticity
by: Bammer, Patrick, et al.
Published: (2025)
by: Bammer, Patrick, et al.
Published: (2025)
New Adaptive Numerical Methods Based on Dual Formulation of Hyperbolic Conservation Laws
by: Chertock, Alina, et al.
Published: (2026)
by: Chertock, Alina, et al.
Published: (2026)
Conjugate Gradient Methods are Not Efficient: Experimental Study of the Locality Limitation
by: Rüde, Ulrich
Published: (2026)
by: Rüde, Ulrich
Published: (2026)
Stabilization of isogeometric finite element method with optimal test functions computed from $L_2$ norm residual minimization
by: Łoś, Marcin, et al.
Published: (2024)
by: Łoś, Marcin, et al.
Published: (2024)
What is a POLYNOMIAL-TIME Computable L2-Function?
by: Bacho, Aras, et al.
Published: (2026)
by: Bacho, Aras, et al.
Published: (2026)
Localized Dynamic Mode Decomposition with Temporally Adaptive Segmentation
by: Li, Qiuqi, et al.
Published: (2025)
by: Li, Qiuqi, et al.
Published: (2025)
Fully discrete Galerkin scheme for a semilinear subdiffusion equation with nonsmooth data and time-dependent coefficient
by: Płociniczak, Łukasz, et al.
Published: (2023)
by: Płociniczak, Łukasz, et al.
Published: (2023)
Convergence rate of the spectral difference method on regular triangular meshes
by: Bakhvalov, Pavel
Published: (2024)
by: Bakhvalov, Pavel
Published: (2024)
A well posed and stable canonical evaporation model problem for phase-change in two-phase flows
by: Nordström, Jan
Published: (2026)
by: Nordström, Jan
Published: (2026)
Optimal Transport-Based Displacement Interpolation with Data Augmentation for Reduced Order Modeling of Nonlinear Dynamical Systems
by: Khamlich, Moaad, et al.
Published: (2024)
by: Khamlich, Moaad, et al.
Published: (2024)
A provably stable numerical method for the anisotropic diffusion equation in confined magnetic fields: Curvilinear coordinates and multi-block domains
by: Muir, Dean, et al.
Published: (2026)
by: Muir, Dean, et al.
Published: (2026)
A provably stable numerical method for the anisotropic diffusion equation in confined magnetic fields
by: Muir, Dean, et al.
Published: (2023)
by: Muir, Dean, et al.
Published: (2023)
An efficient two-grid fourth-order compact difference scheme with variable-step BDF2 method for the semilinear parabolic equation
by: Zhang, Bingyin, et al.
Published: (2023)
by: Zhang, Bingyin, et al.
Published: (2023)
High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties, friction and gravity
by: Pimentel-García, Ernesto, et al.
Published: (2025)
by: Pimentel-García, Ernesto, et al.
Published: (2025)
A Waveguide Port Boundary Condition based on approximation space restriction for Finite Element Analysis
by: Orlandini, Francisco T., et al.
Published: (2024)
by: Orlandini, Francisco T., et al.
Published: (2024)
Similar Items
-
Physics-Informed Deep Inverse Operator Networks for Solving PDE Inverse Problems
by: Cho, Sung Woong, et al.
Published: (2024) -
IGA-ODIL: Optimizing DIscretre robust Loss with Isogeometric Analysis to solve forward and inverse problems faster using machine learning tools
by: Paszyński, Maciej, et al.
Published: (2026) -
High-order temporal parametric finite element methods for simulating solid-state dewetting
by: Gan, Xiaowen, et al.
Published: (2025) -
Analysis and improvement of a semi-Lagrangian exponential scheme for the shallow-water equations on the rotating sphere
by: Steinstraesser, João Guilherme Caldas, et al.
Published: (2024) -
Collocation-based Robust Variational Physics-Informed Neural Networks (CRVPINN)
by: Łoś, Marcin, et al.
Published: (2024)