Theory-guided physics-informed neural networks for boundary layer problems with singular perturbation
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Publication:2106998
DOI10.1016/J.JCP.2022.111768OpenAlexW4308978381MaRDI QIDQ2106998
Roshan M. D'Souza, Amirhossein Arzani, Kevin W. Cassel
Publication date: 29 November 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111768
asymptotic expansiondeep learningconvective transportdata-driven modelingscientific machine learning
Basic methods in fluid mechanics (76Mxx) Incompressible viscous fluids (76Dxx) Physiological, cellular and medical topics (92Cxx)
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Variable linear transformation improved physics-informed neural networks to solve thin-layer flow problems ⋮ Less Emphasis on Hard Regions: Curriculum Learning of PINNs for Singularly Perturbed Convection-Diffusion-Reaction Problems
Uses Software
Cites Work
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- Wall shear stress and near-wall convective transport: comparisons with vascular remodelling in a peripheral graft anastomosis
- Prandtl-essentials of fluid mechanics. With contributions by M. Böhle, D. Etling, U. Müller, K. R. S. Sreenivasan, U. Riedel, and J. Warnatz. Translated by Katherine Mayes.
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Generalized Lagrangian coherent structures
- Comparison of some finite element methods for solving the diffusion-convection-reaction equation
- B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data
- SPINN: sparse, physics-based, and partially interpretable neural networks for PDEs
- Hybrid FEM-NN models: combining artificial neural networks with the finite element method
- Physics-informed neural networks for high-speed flows
- Conservative physics-informed neural networks on discrete domains for conservation laws: applications to forward and inverse problems
- Characterizing two-timescale nonlinear dynamics using finite-time Lyapunov exponents and subspaces
- (INVITED) Reaction-diffusion waves in cardiovascular diseases
- On the eigenvector bias of Fourier feature networks: from regression to solving multi-scale PDEs with physics-informed neural networks
- A discontinuous Galerkin method with Lagrange multipliers for spatially-dependent advection-diffusion problems
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- Lagrangian wall shear stress structures and near-wall transport in high-Schmidt-number aneurysmal flows
- Singular Perturbation Theory: A Viscous Flow out of Göttingen
- Machine Learning for Fluid Mechanics
- Input–output analysis, model reduction and control of the flat-plate boundary layer
- Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations
- Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations
- The reciprocal theorem in fluid dynamics and transport phenomena
- Exact theory of three-dimensional flow separation. Part 1. Steady separation
- A BVP solver based on residual control and the Maltab PSE
- A large-scale control strategy for drag reduction in turbulent boundary layers
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