Scientific machine learning through physics–informed neural networks: Where we are and what's next
Abstract Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode
model equations, like Partial Differential Equations (PDE), as a component of the neural …
model equations, like Partial Differential Equations (PDE), as a component of the neural …
Physics-informed neural network (PINN) evolution and beyond: A systematic literature review and bibliometric analysis
This research aims to study and assess state-of-the-art physics-informed neural networks
(PINNs) from different researchers' perspectives. The PRISMA framework was used for a …
(PINNs) from different researchers' perspectives. The PRISMA framework was used for a …
Physics-informed machine learning: A survey on problems, methods and applications
Recent advances of data-driven machine learning have revolutionized fields like computer
vision, reinforcement learning, and many scientific and engineering domains. In many real …
vision, reinforcement learning, and many scientific and engineering domains. In many real …
An expert's guide to training physics-informed neural networks
Physics-informed neural networks (PINNs) have been popularized as a deep learning
framework that can seamlessly synthesize observational data and partial differential …
framework that can seamlessly synthesize observational data and partial differential …
Transfer learning based physics-informed neural networks for solving inverse problems in engineering structures under different loading scenarios
Recently, a class of machine learning methods called physics-informed neural networks
(PINNs) has been proposed and gained prevalence in solving various scientific computing …
(PINNs) has been proposed and gained prevalence in solving various scientific computing …
Physics-guided, physics-informed, and physics-encoded neural networks in scientific computing
Recent breakthroughs in computing power have made it feasible to use machine learning
and deep learning to advance scientific computing in many fields, including fluid mechanics …
and deep learning to advance scientific computing in many fields, including fluid mechanics …
Separable physics-informed neural networks
Physics-informed neural networks (PINNs) have recently emerged as promising data-driven
PDE solvers showing encouraging results on various PDEs. However, there is a …
PDE solvers showing encouraging results on various PDEs. However, there is a …
Physics-informed Neural Networks (PINN) for computational solid mechanics: Numerical frameworks and applications
H Hu, L Qi, X Chao - Thin-Walled Structures, 2024 - Elsevier
For solving the computational solid mechanics problems, despite significant advances have
been achieved through the numerical discretization of partial differential equations (PDEs) …
been achieved through the numerical discretization of partial differential equations (PDEs) …
Physics-informed neural networks combined with polynomial interpolation to solve nonlinear partial differential equations
In this paper, we utilise the physics-informed neural networks (PINN) combined with
interpolation polynomials to solve nonlinear partial differential equations and for simplicity …
interpolation polynomials to solve nonlinear partial differential equations and for simplicity …
Enhancing PINNs for solving PDEs via adaptive collocation point movement and adaptive loss weighting
J Hou, Y Li, S Ying - Nonlinear Dynamics, 2023 - Springer
Physics-informed neural networks (PINNs) are an emerging method for solving partial
differential equations (PDEs) and have been widely applied in the field of scientific …
differential equations (PDEs) and have been widely applied in the field of scientific …