Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks | Paper Citation Record

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This paper cites TensorFlow: A system for large-scale machine learning.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks TensorFlow: A system for large-scale machine learning

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Automatic Differentiation in Machine Learning: A Survey

Reference 2

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Burgers' pinns with implicit euler transfer learning

Reference 3

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Partition of Unity Methods

Reference 4

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Jax: Autograd and xla

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This paper cites Physics-informed neural networks for heat transfer problems.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physics-informed neural networks for heat transfer problems

Reference 6

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This paper cites Physics-informed neural networks (PINNs) for fluid mechanics: A review.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physics-informed neural networks (PINNs) for fluid mechanics: A review

Reference 7

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This paper cites Distributed learning machines for solving forward and inverse problems in partial differential equations.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Distributed learning machines for solving forward and inverse problems in partial differential equations

Reference 8

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This paper cites Physics Informed Extreme Learning Machine (PIELM) – A rapid method for the numerical solution of partial differential equations.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physics Informed Extreme Learning Machine (PIELM) – A rapid method for the numerical solution of partial differential equations

Reference 9

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physics-informed kernel function neural networks for solving partial differential equations

Reference 10

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physical informed neural network for thermo-hydral analysis of fire-loaded concrete

Reference 11

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This paper cites An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources

Reference 12

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This paper cites Transfer learning enhanced physics informed neural network for phase-field modeling of fracture.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Transfer learning enhanced physics informed neural network for phase-field modeling of fracture

Reference 13

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks A deep learning framework for solution and discovery in solid mechanics

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Deep learning in computational mechanics: a review

Reference 15

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This paper cites Long Short-term Memory.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Long Short-term Memory

Reference 16

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This paper cites Multilayer feedforward networks are universal approximators.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Multilayer feedforward networks are universal approximators

Reference 17

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This paper cites Solving heat conduction problems with a moving heat source in arc welding processes via an overlapping nodes scheme based on the improved element- free Galerkin method.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Solving heat conduction problems with a moving heat source in arc welding processes via an overlapping nodes scheme based on the improved element- free Galerkin method

Reference 18

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This paper cites hp-VPINNs: Variational physics-informed neural networks with domain decomposition.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks hp-VPINNs: Variational physics-informed neural networks with domain decomposition

Reference 19

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This paper cites Variational Physics-Informed Neural Networks For Solving Partial Differential Equations.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Variational Physics-Informed Neural Networks For Solving Partial Differential Equations

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This paper cites Adaptive finite element solution for the heat conduction with a moving heat source.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Adaptive finite element solution for the heat conduction with a moving heat source

Reference 21

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This paper cites Temperature Field Due to a Moving Heat Source: A Moving Mesh Finite Element Analysis.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Temperature Field Due to a Moving Heat Source: A Moving Mesh Finite Element Analysis

Reference 22

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This paper cites Artificial neural networks for solving ordinary and partial differential equations.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Artificial neural networks for solving ordinary and partial differential equations

Reference 23

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Neural-network methods for boundary value problems with irregular boundaries

Reference 24

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Reynolds averaged turbulence mod- elling using deep neural networks with embedded invariance

Reference 25

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This paper cites A review of automatic differentiation and its efficient implementa- tion.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks A review of automatic differentiation and its efficient implementa- tion

Reference 26

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks An efficient boundary-type meshfree method for analysis of two-dimensional laser heating problems

Reference 27

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This paper cites Numerical prediction of fluid flow and heat transfer in welding with a moving heat source.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Numerical prediction of fluid flow and heat transfer in welding with a moving heat source

Reference 28

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks The partition-of-unity method for linear diffusion and convection problems: Accuracy, stabilization and multiscale interpretation

Reference 29

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Parametric deep energy approach for elasticity accounting for strain gradient effects

Reference 30

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Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients

Reference 31

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This paper cites A paradigm for data-driven predictive modeling using field inversion and machine learning.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks A paradigm for data-driven predictive modeling using field inversion and machine learning

Reference 32

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This paper cites Automatic differentiation in pytorch.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Automatic differentiation in pytorch

Reference 33

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This paper cites Adaptive physics-informed neural networks for dynamic coupled thermo- mechanical problems in large-size-ratio functionally graded materials.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Adaptive physics-informed neural networks for dynamic coupled thermo- mechanical problems in large-size-ratio functionally graded materials

Reference 34

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This paper cites Spectral integrated neural networks (SINNs) for solving forward and inverse dynamic problems.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Spectral integrated neural networks (SINNs) for solving forward and inverse dynamic problems

Reference 35

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This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial dif- ferential equations.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial dif- ferential equations

Reference 36

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This paper cites SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs

Reference 37

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This paper cites Two-dimensional numerical simu- lation of heat transfer with moving heat source in welding using the Finite Pointset Method.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Two-dimensional numerical simu- lation of heat transfer with moving heat source in welding using the Finite Pointset Method

Reference 38

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Observation c51dab12-553c-4e6e-83b8-a0c02b669ad0 · outbound

This paper cites Mathematical theory of heat distribution during welding and cutting, aw s.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Mathematical theory of heat distribution during welding and cutting, aw s

Reference 39

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This paper cites An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications

Reference 40

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This paper cites Advances in computational mod- eling for laser powder bed fusion additive manufacturing: A comprehensive review of finite element techniques and strategies.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Advances in computational mod- eling for laser powder bed fusion additive manufacturing: A comprehensive review of finite element techniques and strategies

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:06:48.575322Z

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This paper cites On the performance of a Chimera-FEM implementation to treat moving heat sources and moving boundaries in time- dependent problems.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks On the performance of a Chimera-FEM implementation to treat moving heat sources and moving boundaries in time- dependent problems

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:06:48.564215Z

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Observation 4613eeca-a5e7-4649-9f45-8af47611beb2 · outbound

This paper cites An Extrinsic Approach Based on Physics- Informed Neural Networks for PDEs on Surfaces.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks An Extrinsic Approach Based on Physics- Informed Neural Networks for PDEs on Surfaces

Reference 43

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Observation 5c86f71d-1cd3-4277-a7c9-6a32c4714a65 · outbound

This paper cites Artificial intelligence for partial differential equations in computational me- chanics: A review.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Artificial intelligence for partial differential equations in computational me- chanics: A review

Reference 44

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Observation 91149b9d-47d8-4be2-ae45-b9ab8f5ebb18 · outbound

This paper cites Isogeometric boundary element method for steady-state heat transfer with concentrated/surface heat sources.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Isogeometric boundary element method for steady-state heat transfer with concentrated/surface heat sources

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:06:48.542270Z

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Observation 39ba05bd-74cc-483a-a75e-d72979d9c55f · outbound

This paper cites Multi-domain physics-informed neural networks for solving transient heat conduction problems in multilayer materials.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Multi-domain physics-informed neural networks for solving transient heat conduction problems in multilayer materials

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:06:48.532239Z

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This paper cites A Comprehensive Survey on Transfer Learning.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks A Comprehensive Survey on Transfer Learning

Reference 47

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This paper cites Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning

Reference 48

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This paper cites org / 10.

Numerical simulation of transient heat conduction with moving heat source using Physics Informed Neural Networks org / 10

Reference 9310

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