Neural semi-Lagrangian method for high-dimensional advection-diffusion problems
Fuente:
arXiv
Saved in:
| Main Authors: | Franck, Emmanuel, Michel-Dansac, Victor, Navoret, Laurent, Vigon, Vincent |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks
by: Franck, Emmanuel, et al.
Published: (2023)
by: Franck, Emmanuel, et al.
Published: (2023)
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: preserving isentropic steady solutions
by: Berthon, Christophe, et al.
Published: (2024)
by: Berthon, Christophe, et al.
Published: (2024)
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: General equations of state
by: Michel-Dansac, Victor, et al.
Published: (2024)
by: Michel-Dansac, Victor, et al.
Published: (2024)
Divergence-free decoupled finite element methods for incompressible flow problems
by: John, Volker, et al.
Published: (2025)
by: John, Volker, et al.
Published: (2025)
All Equalities Are Equal, but Some Are More Equal Than Others: The Effect of Implementation Aliasing on the Numerical Solution to Conservation Equations
by: Trojak, Will, et al.
Published: (2019)
by: Trojak, Will, et al.
Published: (2019)
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)
by: Jendersie, Robert, et al.
Published: (2026)
Neural enrichment finite element method: A hybrid framework for problems with strong oscillations or interface problems
by: Guo, Shihan, et al.
Published: (2026)
by: Guo, Shihan, et al.
Published: (2026)
A Parameter-Driven Physics-Informed Neural Network Framework for Solving Two-Parameter Singular Perturbation Problems Involving Boundary Layers
by: Boro, Pradanya, et al.
Published: (2025)
by: Boro, Pradanya, et al.
Published: (2025)
Diffusion-based Models for Unpaired Super-resolution in Fluid Dynamics
by: Xu, Wuzhe, et al.
Published: (2025)
by: Xu, Wuzhe, et al.
Published: (2025)
Dynamic Ritz Projection for Finite Element Methods in Fluid-Structure Interaction
by: Burman, Erik, et al.
Published: (2025)
by: Burman, Erik, et al.
Published: (2025)
EGPT-PINN: Entropy-enhanced Generative Pre-Trained Physics Informed Neural Networks for parameterized nonlinear conservation laws
by: Ji, Yajie, et al.
Published: (2025)
by: Ji, Yajie, et al.
Published: (2025)
An arbitrary Lagrangian-Eulerian semi-implicit hybrid method for continuum mechanics with GLM cleaning
by: Busto, Saray
Published: (2025)
by: Busto, Saray
Published: (2025)
A neural network method for scalar conservation laws with convergence rates for shock-wave solutions
by: Cao, Jiachuan, et al.
Published: (2026)
by: Cao, Jiachuan, et al.
Published: (2026)
Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries
by: Duprez, Michel, et al.
Published: (2025)
by: Duprez, Michel, et al.
Published: (2025)
A semi-discrete Active Flux method for the Euler equations on Cartesian grids
by: Abgrall, Rémi, et al.
Published: (2023)
by: Abgrall, Rémi, et al.
Published: (2023)
Data-Driven Discovery of Sign-Indefinite Artificial Viscosity for Linear Convection -- A Space-Time Reconvolution Perspective
by: Neelan, Arun Govind
Published: (2026)
by: Neelan, Arun Govind
Published: (2026)
Prediction of discretization of online GMsFEM using deep learning for Richards equation
by: Spiridonov, Denis, et al.
Published: (2024)
by: Spiridonov, Denis, et al.
Published: (2024)
A Flow-rate-conserving CNN-based Domain Decomposition Method for Blood Flow Simulations
by: Klaes, Simon, et al.
Published: (2025)
by: Klaes, Simon, et al.
Published: (2025)
Trefftz Discontinuous Galerkin discretization for the Stokes problem
by: Lederer, Philip L., et al.
Published: (2023)
by: Lederer, Philip L., et al.
Published: (2023)
Asymptotic Preserving and Accurate scheme for Multiscale Poisson-Nernst-Planck (MPNP) system
by: Astuto, Clarissa, et al.
Published: (2025)
by: Astuto, Clarissa, et al.
Published: (2025)
Multifidelity domain decomposition-based physics-informed neural networks and operators for time-dependent problems
by: Heinlein, Alexander, et al.
Published: (2024)
by: Heinlein, Alexander, et al.
Published: (2024)
Preconditioning and Linearly Implicit Time Integration for the Serre-Green-Naghdi Equations
by: Feng, Linwan, et al.
Published: (2025)
by: Feng, Linwan, et al.
Published: (2025)
A Nitsche method for incompressible fluids with general dynamic boundary conditions
by: Gazca-Orozco, Pablo Alexei, et al.
Published: (2025)
by: Gazca-Orozco, Pablo Alexei, et al.
Published: (2025)
ARDO: A Weak Formulation Deep Neural Network Method for Elliptic and Parabolic PDEs Based on Random Differences of Test Functions
by: Cai, Wei, et al.
Published: (2025)
by: Cai, Wei, et al.
Published: (2025)
A Scalable Monolithic Modified Newton Multigrid Framework for Time-Dependent $p$-Navier-Stokes Flow
by: Margenberg, Nils, et al.
Published: (2026)
by: Margenberg, Nils, et al.
Published: (2026)
Spectral-Refiner: Accurate Fine-Tuning of Spatiotemporal Fourier Neural Operator for Turbulent Flows
by: Cao, Shuhao, et al.
Published: (2024)
by: Cao, Shuhao, et al.
Published: (2024)
Adaptive domain decomposition method for time-dependent problems with applications in fluid dynamics
by: Dolejsi, Vit, et al.
Published: (2026)
by: Dolejsi, Vit, et al.
Published: (2026)
Robust preconditioning for an HDG discretization of the time-dependent Stokes equations
by: Henríquez, Esteban, et al.
Published: (2026)
by: Henríquez, Esteban, et al.
Published: (2026)
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)
by: Ibrahim, Abdul Qadir, et al.
Published: (2024)
Scientific machine learning for closure models in multiscale problems: a review
by: Sanderse, Benjamin, et al.
Published: (2024)
by: Sanderse, Benjamin, et al.
Published: (2024)
Physics-Informed Neural Networks: Bridging the Divide Between Conservative and Non-Conservative Equations
by: Neelan, Arun Govind, et al.
Published: (2025)
by: Neelan, Arun Govind, et al.
Published: (2025)
Pressure-robustness for the axisymmetric Stokes problem by velocity reconstruction
by: Lederer, Philip L., et al.
Published: (2026)
by: Lederer, Philip L., et al.
Published: (2026)
Exact Integration for singular Zienkiewicz and Guzman-Neilan Finite Elements with Implementation
by: Diening, Lars, et al.
Published: (2024)
by: Diening, Lars, et al.
Published: (2024)
Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions
by: Eickmann, Franziska, et al.
Published: (2025)
by: Eickmann, Franziska, et al.
Published: (2025)
Sequential symmetric interior penalty discontinuous Galerkin method for fully coupled quasi-static thermo-poroelasticity problems
by: Chen, Fan, et al.
Published: (2025)
by: Chen, Fan, et al.
Published: (2025)
Analysis and finite element approximation of a diffuse interface approach to the Stokes--Biot coupling
by: Aznaran, Francis R. A., et al.
Published: (2024)
by: Aznaran, Francis R. A., et al.
Published: (2024)
An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model
by: Coquel, Frédéric, et al.
Published: (2020)
by: Coquel, Frédéric, et al.
Published: (2020)
Versatile mixed methods for weakly-compressible flows
by: Miller, Edward A., et al.
Published: (2024)
by: Miller, Edward A., et al.
Published: (2024)
Hypernetwork-Conditioned WENO5 Conservative-Form CNNs for One-Dimensional Conservation Laws
by: Chen, Yongsheng, et al.
Published: (2026)
by: Chen, Yongsheng, et al.
Published: (2026)
Long-time stability of implicit-explicit Runge-Kutta methods for two-dimensional incompressible flows
by: Liao, Hong-lin, et al.
Published: (2026)
by: Liao, Hong-lin, et al.
Published: (2026)
Similar Items
-
Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks
by: Franck, Emmanuel, et al.
Published: (2023) -
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: preserving isentropic steady solutions
by: Berthon, Christophe, et al.
Published: (2024) -
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: General equations of state
by: Michel-Dansac, Victor, et al.
Published: (2024) -
Divergence-free decoupled finite element methods for incompressible flow problems
by: John, Volker, et al.
Published: (2025) -
All Equalities Are Equal, but Some Are More Equal Than Others: The Effect of Implementation Aliasing on the Numerical Solution to Conservation Equations
by: Trojak, Will, et al.
Published: (2019)