Cover Image

Physics-informed low-rank neural operators with application to parametric elliptic PDEs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Schaffer, Sebastian, Exl, Lukas
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis Computational Physics Machine Learning 68T07, 65N80, 65F55, 35J05, 76S05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Higher order stray field computation on tensor product domains
by: Exl, Lukas, et al.
Published: (2025)

Self-adaptive physics-informed neural network for forward and inverse problems in heterogeneous porous flow
by: Aziz, Md. Abdul, et al.
Published: (2025)

Near-field-free super-potential FFT method for the three-dimensional free-space Poisson equation
by: Exl, Lukas, et al.
Published: (2025)

Neural Approximate Inverse Preconditioners
by: Xu, Tianshi, et al.
Published: (2025)

Vanka-smoothed shifted Laplacian multigrid preconditioners for the Helmholtz equations
by: Yovel, Rachel, et al.
Published: (2025)

Multiscale Neural Networks for Approximating Green's Functions
by: Hao, Wenrui, et al.
Published: (2024)

Monolithic Multi-level Overlapping Schwarz Solvers for Fluid Problems
by: Köhler, Stephan, et al.
Published: (2025)

Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
by: Arrarás, Andrés, et al.
Published: (2024)

Efficient preconditioners for coupled Stokes-Darcy problems with MAC scheme: Spectral analysis and numerical study
by: Strohbeck, Paula, et al.
Published: (2024)

An adaptive Newton-based free-boundary Grad-Shafranov solver
by: Serino, Daniel A., et al.
Published: (2024)

Learning a generalized multiscale prolongation operator
by: Liu, Yucheng, et al.
Published: (2024)

Towards a Multigrid Preconditioner Interpretation of Hierarchical Poincaré-Steklov Solvers
by: Lorca, J. P. Lucero
Published: (2025)

Space-time parallel scaling of Parareal with a physics-informed Fourier Neural Operator coarse propagator applied to the Black-Scholes equation
by: Ibrahim, Abdul Qadir, et al.
Published: (2024)

Randomized methods for dynamical low-rank approximation
by: Carrel, Benjamin
Published: (2024)

Machine learning-based vorticity evolution and superresolution of homogeneous isotropic turbulence using wavelet projection
by: Asaka, Tomoki, et al.
Published: (2024)

A robust and stable hybrid neural network/finite element method for 2D flows that generalizes to different geometries
by: Jendersie, Robert, et al.
Published: (2026)

A comparative study of efficient multigrid solvers for high-order local discontinuous Galerkin methods: Poisson, elliptic interface, and multiphase Stokes problems
by: Saye, Robert I.
Published: (2024)

An $hp$ Error Analysis of HDG for Linear Fluid-Structure Interaction
by: Meddahi, Salim
Published: (2024)

A Hybrid High-Order method for the power-law Brinkman problem with robust error estimates in all regimes
by: Quiroz, Daniel Castañón, et al.
Published: (2025)

A robust solver for large-scale heat transfer topology optimization
by: Zhou, Yingjie, et al.
Published: (2024)

Scalable Multigrid Solver for the Helmholtz Equation: Real-Shifted Coarse Grid Correction
by: Yovel, Rachel, et al.
Published: (2026)

Robust Blockwise Random Pivoting: Fast and Accurate Adaptive Interpolative Decomposition
by: Dong, Yijun, et al.
Published: (2023)

Discontinuous hybrid neural networks for the one-dimensional partial differential equations
by: Wang, Xiaoyu, et al.
Published: (2025)

A framework of discontinuous Galerkin neural networks for iteratively approximating residuals
by: Yuan, Long, et al.
Published: (2025)

Stokes-Brinkman-Darcy models for fluid-porous systems: derivation, analysis and validation
by: Ruan, Linheng, et al.
Published: (2024)

A discontinuous Galerkin plane wave neural network method for Helmholtz equation and Maxwell's equations
by: Yuan, Long, et al.
Published: (2025)

Parallel matching-based AMG preconditioners for elliptic equations discretized by IgA
by: D'Ambra, Pasqua, et al.
Published: (2025)

Efficient multigrid solvers for mixed-degree local discontinuous Galerkin multiphase Stokes problems
by: Saye, Robert I.
Published: (2025)

Parareal algorithm for coupled elliptic-parabolic problems
by: Jimenez-Ciga, Iñigo, et al.
Published: (2026)

A hybrid-dimensional Stokes--Brinkman--Darcy model for arbitrary flows to the fluid--porous interface
by: Ruan, Linheng, et al.
Published: (2025)

Data Completion for Electrical Impedance Tomography by Conditional Diffusion Models
by: Chen, Ke, et al.
Published: (2026)

Refined stability estimates for mixed problems by exploiting semi norm arguments
by: Gauger, Nicolas, et al.
Published: (2025)

A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics
by: Burkhart, Andreas, et al.
Published: (2025)

A dimension-oblivious domain decomposition method based on space-filling curves
by: Griebel, Michael, et al.
Published: (2021)

Least Squares with Equality constraints Extreme Learning Machines for the resolution of PDEs
by: De Falco, Davide Elia, et al.
Published: (2025)

Distributed finite element solution using model order reduction
by: Gustafsson, Tom, et al.
Published: (2024)

Hybrid Nitsche method for distributed computing
by: Gustafsson, Tom, et al.
Published: (2025)

Conforming and discontinuous discretizations of non-isothermal Darcy-Forchheimer flows
by: Bonetti, Stefano, et al.
Published: (2025)

Physics aware machine learning for micromagnetic energy minimization: recent algorithmic developments
by: Schaffer, Sebastian, et al.
Published: (2024)

A divergence-free projection method for quasiperiodic photonic crystals in three dimensions
by: Gao, Zixuan, et al.
Published: (2024)