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Paper Citation Record · LEDGER

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method

As of 16 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 0 inbound Pith citation observations for arXiv:2505.04875.

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pith.paper-citation-record.v1
2505.04875 v1

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measured 75 of 75 reference resolution

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Reference resolution

75 of 75 outbound references displayed

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Outbound references

Observation 01694345-a389-413b-88a6-0a6350177f0a · outbound

This paper cites A deep learning energy method for hyperelasticity and viscoelasticity.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method A deep learning energy method for hyperelasticity and viscoelasticity

Reference 1

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Observation 91435e98-9183-4486-a88a-65cba86d487d · outbound

This paper cites Jagtap Ameya D.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Jagtap Ameya D

Reference 2

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Observation d10b56d3-db3d-4c4c-b26d-230a6b03a27d · outbound

This paper cites Anagnostopoulos, Juan Diego Toscano, Nikol aos Stergiopulos, and George Em Karniadakis.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Anagnostopoulos, Juan Diego Toscano, Nikol aos Stergiopulos, and George Em Karniadakis

Reference 3

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Observation 30f6b2f1-92e3-4b26-bd55-1b99dcb20f29 · outbound

This paper cites Mininni, Martín Obligado, and Patricio Clark Di Leoni.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Mininni, Martín Obligado, and Patricio Clark Di Leoni

Reference 4

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Observation 0c33c362-59d9-4ec9-b537-5b58bb0ad895 · outbound

This paper cites Neural Operators for Accelerating Scientific Simulations and Design.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Neural Operators for Accelerating Scientific Simulations and Design

Reference 5

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This paper cites Physics and equalit y constrained artificial neural networks: Application to forward and inverse problems with multi-fidelity data fus ion.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Physics and equalit y constrained artificial neural networks: Application to forward and inverse problems with multi-fidelity data fus ion

Reference 6

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Observation 9b2162c6-051e-4174-b4dd-8b592e0fea8f · outbound

This paper cites Berrone, C.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Berrone, C

Reference 7

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Observation 02f47e0b-0179-4a78-9109-4197c6086fd5 · outbound

This paper cites Stress field prediction in fiber-reinforced composite materials using a deep learning approach.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Stress field prediction in fiber-reinforced composite materials using a deep learning approach

Reference 8

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Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Unresolved cited work

Reference 9

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Observation caf54390-cf17-4f66-9458-dad16c242c83 · outbound

This paper cites Physics-Informed Neural Networks for Heat Transfer Problems.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Physics-Informed Neural Networks for Heat Transfer Problems

Reference 10

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Observation 84c8177a-4b34-4694-ac02-20e8ea63b2c6 · outbound

This paper cites D eep least-squares methods: an unsupervised learning- based numerical method for solving elliptic PDEs.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method D eep least-squares methods: an unsupervised learning- based numerical method for solving elliptic PDEs

Reference 11

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Observation 137333cd-7f14-41b8-8972-90f081a9e4cd · outbound

This paper cites Evolutional Deep Neural Network.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Evolutional Deep Neural Network

Reference 12

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Observation 23386e2f-8256-482d-b420-5398e03ea7eb · outbound

This paper cites The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems

Reference 13

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This paper cites Wagner, Annamaria Scherzl, Ma rco Klein, Norbert Hoffmann, and Merten Stender.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Wagner, Annamaria Scherzl, Ma rco Klein, Norbert Hoffmann, and Merten Stender

Reference 14

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Observation 820b9594-e9e7-4f47-babd-b3af3b597f13 · outbound

This paper cites Digital twins in mec hanical and aerospace engineering.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Digital twins in mec hanical and aerospace engineering

Reference 15

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Observation 2bc1f6df-5d7e-479b-8f29-bb5ee3d3b19f · outbound

This paper cites Zahr, and Jian-Xun Wang.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Zahr, and Jian-Xun Wang

Reference 16

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Observation 09060847-b2bf-4177-9f9f-9f637981e211 · outbound

This paper cites Jimack, and René de Bor st.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Jimack, and René de Bor st

Reference 17

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Observation d34ca538-43db-4845-a507-6fe91ebabc26 · outbound

This paper cites Tartakovsky.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Tartakovsky

Reference 18

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Observation 214f135c-7125-45d2-a663-871fd5709af9 · outbound

This paper cites Flow field rec onstruction from sparse sensor measurements with physics-informed neural networks.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Flow field rec onstruction from sparse sensor measurements with physics-informed neural networks

Reference 19

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Observation 9d2d7488-a6d5-4ca9-961b-5f5fcf2e2c61 · outbound

This paper cites When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?

Reference 20

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Observation df322c6d-d585-4e8c-8001-837d84ee4cfa · outbound

This paper cites Jagtap, Ehsan Kharazmi, and George Em Karniada kis.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Jagtap, Ehsan Kharazmi, and George Em Karniada kis

Reference 21

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Observation d9cab98e-0355-4930-b4ce-52035d08f0bb · outbound

This paper cites NSFnets (Navier-Stokes Flow nets): Physics- informed neural networks for the incompressible Navier-St okes equations.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method NSFnets (Navier-Stokes Flow nets): Physics- informed neural networks for the incompressible Navier-St okes equations

Reference 22

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Observation 67276e25-8060-4c31-a641-e6fcbd1dfa37 · outbound

This paper cites Physics-informed ne ural network for modeling dynamic linear elasticity, January 2024.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Physics-informed ne ural network for modeling dynamic linear elasticity, January 2024

Reference 23

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This paper cites Kharazmi, Z.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Kharazmi, Z

Reference 24

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Observation de0ab6ba-458c-4ea1-a76a-1310f2b0fcd5 · outbound

This paper cites hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition

Reference 25

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Observation a3097757-2638-4ca7-b4b1-b40f7c07561b · outbound

This paper cites VarNet: Variational Neural Networks for the Solution of Partial Differential Equations.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method VarNet: Variational Neural Networks for the Solution of Partial Differential Equations

Reference 26

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Observation 410c788d-c163-48ff-853f-d9818f56ab92 · outbound

This paper cites Review of Stru ctural Health Monitoring Methods Regarding a Multi- Sensor Approach for Damage Assessment of Metal and Composit e Structures.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Review of Stru ctural Health Monitoring Methods Regarding a Multi- Sensor Approach for Damage Assessment of Metal and Composit e Structures

Reference 27

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Observation 570c389f-6fac-4e1a-8727-cac16b0e470f · outbound

This paper cites Characterizing possible failure modes in physics-informed neural networks.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Characterizing possible failure modes in physics-informed neural networks

Reference 28

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Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Unresolved cited work

Reference 29

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This paper cites Lagaris, A.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Lagaris, A

Reference 30

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Observation 526747e4-9a89-48ae-9578-b945b289503d · outbound

This paper cites NH-PINN: N eural homogenization-based physics-informed neural network for multiscale problems.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method NH-PINN: N eural homogenization-based physics-informed neural network for multiscale problems

Reference 31

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Observation 30e6be67-296a-4395-a571-47618529cca9 · outbound

This paper cites Physical informed neural net- works with soft and hard boundary constraints for solving ad vection-diffusion equations using Fourier expansions, December 2023.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Physical informed neural net- works with soft and hard boundary constraints for solving ad vection-diffusion equations using Fourier expansions, December 2023

Reference 32

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Observation 62c7e0a7-c1c8-4a60-8fe8-787ba3fb59ac · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Fourier Neural Operator for Parametric Partial Differential Equations

Reference 33

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Observation 04f7a133-3175-473f-ad11-d8798854583e · outbound

This paper cites Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions

Reference 34

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Observation 7cdf1e63-4eec-4f44-b30a-24b6fbd38d6c · outbound

This paper cites Inve stigating deep energy method applications in thermoelasticity.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Inve stigating deep energy method applications in thermoelasticity

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Observation c43ea19b-81a4-44bc-9398-1b36bca2ff7a · outbound

This paper cites Deep Ritz met hod with adaptive quadrature for linear elasticity.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Deep Ritz met hod with adaptive quadrature for linear elasticity

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Observation 4b546973-6a52-42d1-89dd-893626f6826f · outbound

This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

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Observation f727a253-397b-4b38-af64-c275423a9dae · outbound

This paper cites Maclaren and Ruanui Nicholson.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Maclaren and Ruanui Nicholson

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Observation 87fac517-d59d-4a0b-a0ab-d6ea47c9363c · outbound

This paper cites Physics Informed Neural Networks for heat conduction with phase change.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Physics Informed Neural Networks for heat conduction with phase change

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Observation 614d7521-6342-481b-9e03-979a4be05b5d · outbound

This paper cites A Deep Uzawa-Lagrange Multiplier Approach for Boundary Conditions in PINNs and Deep Ritz Methods.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method A Deep Uzawa-Lagrange Multiplier Approach for Boundary Conditions in PINNs and Deep Ritz Methods

Reference 40

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Observation a1569b57-0e0b-46ed-89dc-6398adc72705 · outbound

This paper cites Manav, R.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Manav, R

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Observation f8b79ec3-5205-4c42-8d8d-ea0314b287d2 · outbound

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Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Unresolved cited work

Reference 42

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Observation a380aa8f-1578-423c-a824-b71253edba20 · outbound

This paper cites Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

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Observation 0bf0eeac-f1b2-4ce7-b018-e6f921c319f3 · outbound

This paper cites Weak SINDy For Partial Differential Equations.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Weak SINDy For Partial Differential Equations

Reference 44

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Observation a4aa8313-8417-4308-b67c-aeaa52b565ca · outbound

This paper cites A deep energy method for finite deformation hyperelasticity.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method A deep energy method for finite deformation hyperelasticity

Reference 45

Resolution
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Observation d24e72c8-b669-400b-af5b-19d3b1b244af · outbound

This paper cites Constrained or Unconstrained? Neural-Network-Based Equation Discovery from Data.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Constrained or Unconstrained? Neural-Network-Based Equation Discovery from Data

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Observation d0929e23-5528-41a7-85c6-6b66ca108b1d · outbound

This paper cites Hwang, an d Beomjin Kwon.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Hwang, an d Beomjin Kwon

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Observation 87d61da6-d31f-4665-b855-9ed6be425a30 · outbound

This paper cites On the Spectral Bias of Neural Networks.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method On the Spectral Bias of Neural Networks

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Observation 5d4edcb1-4f3f-4e3f-a437-b55475edc1f5 · outbound

This paper cites Raissi, P.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Raissi, P

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Resolution
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Observation 9276f7c3-f6f8-4902-9680-fdb8128a700a · outbound

This paper cites Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations

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Resolution
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Observation dcf72b98-9a2c-48e6-b659-d4cb664f384d · outbound

This paper cites an unresolved cited work.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Unresolved cited work

Reference 51

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Observation 4f72c376-652f-465d-9a41-ce50076d74af · outbound

This paper cites Nonlinear Optimization.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Nonlinear Optimization

Reference 52

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Observation 27aa473d-e156-42dc-9217-15c98a98e631 · outbound

This paper cites Sahin, M.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Sahin, M

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Resolution
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Observation 8f48f66d-52be-482f-af47-104450ffd294 · outbound

This paper cites Mean flow data assimilation based on physics-informed neural networks.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Mean flow data assimilation based on physics-informed neural networks

Reference 54

Resolution
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Observation 0e3c109c-7529-4954-a88d-8995bb55ba5b · outbound

This paper cites Randomized Neural Networks with Petrov-Galerkin Methods for Solving Linear Elasticity Problems.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Randomized Neural Networks with Petrov-Galerkin Methods for Solving Linear Elasticity Problems

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Observation 2fcb470d-18cc-45d3-83ae-5d961831b7b5 · outbound

This paper cites Deep Petrov-Galerkin Method for Solving Partial Differential Equations.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Deep Petrov-Galerkin Method for Solving Partial Differential Equations

Reference 56

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Observation 3d23b60e-b03f-4c9a-82b9-94becaccdf02 · outbound

This paper cites PFNN: A penalty-free neura l network method for solving a class of second-order boundary-value problems on complex geometries.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method PFNN: A penalty-free neura l network method for solving a class of second-order boundary-value problems on complex geometries

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Observation a47c175e-9bf1-418e-b12b-3cf5ba603521 · outbound

This paper cites DGM: A deep learning algorithm for solving partial differential equations.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method DGM: A deep learning algorithm for solving partial differential equations

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Observation a5f35579-da8f-49d4-a140-53754a5479ed · outbound

This paper cites Mean flow reconstr uction of unsteady flows using physics-informed neural networks.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Mean flow reconstr uction of unsteady flows using physics-informed neural networks

Reference 59

Resolution
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Observation 0381f5a6-5cbc-4e6c-b37b-08168f31aeae · outbound

This paper cites Enhanced physics-informed neural networks with Augmented Lagrangian relaxation method (AL-PINNs).

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Enhanced physics-informed neural networks with Augmented Lagrangian relaxation method (AL-PINNs)

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Observation dcbf4083-71c9-4824-a52e-a152c72b9149 · outbound

This paper cites Sukumar and Ankit Srivastava.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Sukumar and Ankit Srivastava

Reference 61

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Observation cbbfccec-fbbe-460f-8da2-f4d4e41e925e · outbound

This paper cites an unresolved cited work.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Unresolved cited work

Reference 62

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Observation b2197d8f-9cc2-4317-8158-7b5ebc6c465d · outbound

This paper cites Digital twin modeling for structural strength moni- toring via transfer learning-based multi-source data fusi on.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Digital twin modeling for structural strength moni- toring via transfer learning-based multi-source data fusi on

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 40c31d5f-d270-471a-a2d3-28790663cd9a · outbound

This paper cites Mo, Bassam Izzuddin, and Chul-Woo Kim.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Mo, Bassam Izzuddin, and Chul-Woo Kim

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Resolution
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Observation 07efb8a9-6580-486d-8a7e-45f69ecd7ebc · outbound

This paper cites Resp ecting causality for training physics-informed neural networks.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Resp ecting causality for training physics-informed neural networks

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Resolution
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Observation c95d3614-afc8-4c8e-808b-83984f77c91c · outbound

This paper cites Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets

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Observation b26b9519-96e5-40ff-9004-77b4a4a0727b · outbound

This paper cites Data fusion a pproaches for structural health monitoring and sys- tem identification: Past, present, and future.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Data fusion a pproaches for structural health monitoring and sys- tem identification: Past, present, and future

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Observation 5ccf9325-7eaf-4709-905a-c66d29485693 · outbound

This paper cites Structu ral health monitoring for mechanical structures using multi-sensor data.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Structu ral health monitoring for mechanical structures using multi-sensor data

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raw_fallback, observed 2026-08-15T23:23:43.831898Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T23:23:42.528376Z digest=sha256:9b5653eaba6de180a478432cce056adec15284f1276bef2cd404861f9b05dcbc

Observation e10122ce-860f-4a21-928f-3e9dbdc1cca9 · outbound

This paper cites Barajas-Solano, and Alexandre M.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Barajas-Solano, and Alexandre M

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raw_fallback, observed 2026-08-15T23:23:43.695799Z

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source=pdf_text observed=2026-08-15T23:23:42.681396Z digest=sha256:0f2bf2b9c36795fb55e900dc1d4f708cc77cb8f765f3c7b02ad357367332d11d

Observation be4df736-b3d1-4987-8be4-93cbc227172f · outbound

This paper cites Weak Adversarial Networks for High-dimensional Partial Differential Equations.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Weak Adversarial Networks for High-dimensional Partial Differential Equations

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Observation 1d843ee5-7faa-4c3a-9960-f0859bd8275c · outbound

This paper cites Operator Learning for Reconstructing Flow Fields from Sparse Measurements: an Energy Transformer Approach.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Operator Learning for Reconstructing Flow Fields from Sparse Measurements: an Energy Transformer Approach

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This paper cites Data-Guided Physics-Informed Neural Networks for Solving Inverse Problems in Partial Differential Equations.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Data-Guided Physics-Informed Neural Networks for Solving Inverse Problems in Partial Differential Equations

Reference 72

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Observation c0a7cebe-dcbe-44ab-b0ac-98f91788f1a9 · outbound

This paper cites Cor recting model misspecification in physics-informed neural networks (PINNs).

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Cor recting model misspecification in physics-informed neural networks (PINNs)

Reference 73

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Observation f2e96d7e-7503-408c-80c1-10032da31f89 · outbound

This paper cites an unresolved cited work.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Unresolved cited work

Reference 2018

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Observation ec35c1bc-cc5a-42de-a677-37cea99fb27e · outbound

This paper cites Solving Forward and Inverse Problems of Contact Mechanics using Physics-Informed Neural Networks.

Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Solving Forward and Inverse Problems of Contact Mechanics using Physics-Informed Neural Networks

Reference 2024

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