Deep learning‐based method for solving seepage equation under unsteady boundary

Construction of neural network based intelligent computing for treatment of Darcy-Forchheimer Sisko nanofluid flow with Rosseland?s radiative process

(2023) Anum Shafiq et al.   HEAT TRANSFER RESEARCH

Physical Asymptotic-Solution nets: Physics-driven neural networks solve seepage equations as traditional numerical solution behaves

(2023) Luhang Shen et al.   PHYSICS OF FLUIDS

Reliability study of generalized Rayleigh distribution based on inverse power law using artificial neural network with Bayesian regularization

(2023) Andaç Batur Çolak et al.   Tribology International

A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions

(2022) Shuning Lin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Significance of bioconvective flow of MHD thixotropic nanofluid passing through a vertical surface by machine learning algorithm

(2022) Anum Shafiq et al.   CHINESE JOURNAL OF PHYSICS

Optimization of the numerical treatment of the Darcy–Forchheimer flow of Ree–Eyring fluid with chemical reaction by using artificial neural networks

(2022) Anum Shafiq et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Adaptive learning rate residual network based on physics-informed for solving partial differential equations

(2022) Miaomiao Chen et al.   International Journal of Computational Methods

Machine learning for metal additive manufacturing: predicting temperature and melt pool fluid dynamics using physics-informed neural networks

(2021) Qiming Zhu et al.   COMPUTATIONAL MECHANICS

Designing artificial neural network of nanoparticle diameter and solid–fluid interfacial layer on single‐walled carbon nanotubes/ethylene glycol nanofluid flow on thin slendering needles

(2021) Anum Shafiq et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Multi-Objective Optimization of Laminated Functionally Graded Carbon Nanotube-Reinforced Composite Plates Using Deep Feedforward Neural Networks-NSGAII Algorithm

(2021) Duy K. Ly et al.   International Journal of Computational Methods

When and why PINNs fail to train: A neural tangent kernel perspective

(2021) Sifan Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Theory-guided hard constraint projection (HCP): A knowledge-based data-driven scientific machine learning method

(2021) Yuntian Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Convolution-Based Model-Solving Method for Three-Dimensional, Unsteady, Partial Differential Equations

(2021) Wenshu Zha et al.   NEURAL COMPUTATION

Learning the solution operator of parametric partial differential equations with physics-informed DeepONets

(2021) Sifan Wang et al.   Science Advances

Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations

(2020) Maziar Raissi et al.   SCIENCE

Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data

(2019) Yinhao Zhu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Solving Bayesian inverse problems from the perspective of deep generative networks

(2019) Thomas Y. Hou et al.   COMPUTATIONAL MECHANICS

Surrogate modeling for fluid flows based on physics-constrained deep learning without simulation data

(2019) Luning Sun et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

PDE-Net 2.0: Learning PDEs from data with a numeric-symbolic hybrid deep network

(2019) Zichao Long et al.   JOURNAL OF COMPUTATIONAL PHYSICS

DGM: A deep learning algorithm for solving partial differential equations

(2018) Justin Sirignano et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Deep convolutional encoder-decoder networks for uncertainty quantification of dynamic multiphase flow in heterogeneous media

(2018) Shaoxing Mo et al.   WATER RESOURCES RESEARCH

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains

(2017) Eric T. Chung et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Numerical solution of unsteady advection dispersion equation arising in contaminant transport through porous media using neural networks

(2016) Neha Yadav et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Composition-Transient Analysis in Shale-Gas Reservoirs With Consideration of Multicomponent Adsorption

(2016) Daolun Li et al.   SPE JOURNAL

Global–local nonlinear model reduction for flows in heterogeneous porous media

(2015) Manal Alotaibi et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING