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Paper Citation Record · LEDGER

Autoencoder-based non-intrusive model order reduction in continuum mechanics

As of 11 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2509.02237.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.02237 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:49:14.945653Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

54 of 54 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 78314137-0354-498e-81ef-f8859994b5dd · outbound

This paper cites An introduction to the proper orthogonal decomposition.

Autoencoder-based non-intrusive model order reduction in continuum mechanics An introduction to the proper orthogonal decomposition

Reference 1

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Observation 57814713-a482-43d6-8743-fffc6fc7bffa · outbound

This paper cites Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: Error estimates and suboptimal control.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: Error estimates and suboptimal control

Reference 2

Resolution
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Observation 901bc841-2452-40a3-a7cc-d3a10e9fc00f · outbound

This paper cites Vakakis, and Lawrence A.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Vakakis, and Lawrence A

Reference 3

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Observation 5a82e292-b852-44b5-a348-a8e3ca2584f9 · outbound

This paper cites The applications of pod method in dual rotor-bearing systems with coupling misalignment.Mechanical Systems and Signal Processing, 150:107236, 2021.

Autoencoder-based non-intrusive model order reduction in continuum mechanics The applications of pod method in dual rotor-bearing systems with coupling misalignment.Mechanical Systems and Signal Processing, 150:107236, 2021

Reference 4

Resolution
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Observation bc36ea10-3272-4b35-9292-71b5cda4ee38 · outbound

This paper cites Berkooz, P.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Berkooz, P

Reference 5

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Observation 5caab325-cf04-4a10-9e11-63e776dab065 · outbound

This paper cites Smith, Jeff Moehlis, and Philip Holmes.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Smith, Jeff Moehlis, and Philip Holmes

Reference 6

Resolution
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Observation e4598bd2-618c-4246-a99d-fdac6ac5eefb · outbound

This paper cites Data-driven pod-galerkin reduced order model for turbulent flows.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Data-driven pod-galerkin reduced order model for turbulent flows

Reference 7

Resolution
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Source-reported events for the cited work

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Observation e8843ecf-f94d-4636-8d63-ea079c8cc239 · outbound

This paper cites Proper orthogonal decomposition-based modeling, analysis, and simulation of dynamic wind load effects on structures.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Proper orthogonal decomposition-based modeling, analysis, and simulation of dynamic wind load effects on structures

Reference 8

Resolution
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Source-reported events for the cited work

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Observation 64d9df19-a5fe-461b-8c50-3fe9706fd2b4 · outbound

This paper cites A comparison of projection-based model reduction concepts in the context of nonlinear biomechanics.

Autoencoder-based non-intrusive model order reduction in continuum mechanics A comparison of projection-based model reduction concepts in the context of nonlinear biomechanics

Reference 9

Resolution
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Source-reported events for the cited work

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Observation a75808a0-fe3c-4576-8d81-04fcfa13629c · outbound

This paper cites An adaptive model order reduction technique for parameter-dependent modular structures.

Autoencoder-based non-intrusive model order reduction in continuum mechanics An adaptive model order reduction technique for parameter-dependent modular structures

Reference 10

Resolution
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Source-reported events for the cited work

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Observation 33f30fea-79b9-4a07-8e60-b3faab2b0d5b · outbound

This paper cites Component-based model-order reduction with mortar tied contact for nonlinear quasi-static mechanical problems.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Component-based model-order reduction with mortar tied contact for nonlinear quasi-static mechanical problems

Reference 11

Resolution
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Source-reported events for the cited work

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Observation af019323-ceaa-4d8a-947d-ce1311e0e395 · outbound

This paper cites Ryckelynck.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Ryckelynck

Reference 12

Resolution
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Source-reported events for the cited work

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Observation 9bfa0bcc-b7d5-4664-a342-65b6e1523f83 · outbound

This paper cites Ryckelynck.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Ryckelynck

Reference 13

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Observation 7aa375d7-e953-4cb4-bad0-fe70c388af66 · outbound

This paper cites Miled, D.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Miled, D

Reference 14

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Observation 6a642510-ea1c-437a-ab26-8bf7d7ff5366 · outbound

This paper cites Sorensen.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Sorensen

Reference 15

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Source-reported events for the cited work

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Observation 1c5a78bf-c2be-4cea-99b3-a0db5278d6f8 · outbound

This paper cites Pod-based model reduction with empirical interpolation applied to nonlinear elasticity.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Pod-based model reduction with empirical interpolation applied to nonlinear elasticity

Reference 16

Resolution
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Observation e404018f-af0d-4071-9ecb-43d0076e779a · outbound

This paper cites An, Theodore Kim, and Doug L.

Autoencoder-based non-intrusive model order reduction in continuum mechanics An, Theodore Kim, and Doug L

Reference 17

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Observation 9cedf153-1717-410e-a64b-fcd30d152fc8 · outbound

This paper cites Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency

Reference 18

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Observation 7fffb520-469b-4cd0-9f4d-d12c0e49207c · outbound

This paper cites Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models

Reference 19

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Observation 87e10474-8c71-4ea5-a347-601e979397b0 · outbound

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Autoencoder-based non-intrusive model order reduction in continuum mechanics Unresolved cited work

Reference 20

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Observation 6f0c4076-4777-49b3-a5f8-e3e3974f9e8e · outbound

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Autoencoder-based non-intrusive model order reduction in continuum mechanics Unresolved cited work

Reference 21

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Observation 509e7b2d-0920-4dab-8ce8-8049b147c02c · outbound

This paper cites Bravo, S.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Bravo, S

Reference 22

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Observation e95be72d-4a82-44a0-bd10-0f9646caecdb · outbound

This paper cites Hernández, J.R.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Hernández, J.R

Reference 23

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Source-reported events for the cited work

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Autoencoder-based non-intrusive model order reduction in continuum mechanics Unresolved cited work

Reference 24

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Observation 93ac134d-84b5-42b8-b7a7-484e8689cca4 · outbound

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Autoencoder-based non-intrusive model order reduction in continuum mechanics Unresolved cited work

Reference 25

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Source-reported events for the cited work

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Observation 62b24945-1d2a-49cb-99d2-1b4b360afc94 · outbound

This paper cites Hesthaven, and Deep Ray.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Hesthaven, and Deep Ray

Reference 26

Resolution
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Source-reported events for the cited work

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Observation a037f529-f8eb-467d-b314-a85c466f9870 · outbound

This paper cites Projection-based model reduction: Formulations for physics-based machine learning.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Projection-based model reduction: Formulations for physics-based machine learning

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 50209607-8fe3-48f6-8336-0255ec1ee904 · outbound

This paper cites A nonintrusive nonlinear model reduction method for structural dynamical problems based on machine learning.

Autoencoder-based non-intrusive model order reduction in continuum mechanics A nonintrusive nonlinear model reduction method for structural dynamical problems based on machine learning

Reference 28

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f5cb8154-7afb-455b-b86f-9b9071d6a705 · outbound

This paper cites Salvador, L.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Salvador, L

Reference 29

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Source-reported events for the cited work

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Observation 4ed6eb49-8325-45a0-9727-0c90a53b572d · outbound

This paper cites Testing the manifold hypothesis.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Testing the manifold hypothesis

Reference 30

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Observation f67889eb-e2f9-4476-9fc2-278dd3f16de0 · outbound

This paper cites Bourlard and Y.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Bourlard and Y

Reference 31

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 62cbf6bd-3109-4643-992e-ef2de7e3e04f · outbound

This paper cites Neural networks and principal component analysis: Learning from examples without local minima.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Neural networks and principal component analysis: Learning from examples without local minima

Reference 32

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 58895657-a3b8-45d6-bc68-19fcc3ad2da1 · outbound

This paper cites From principal subspaces to principal components with linear autoencoders, 2018.

Autoencoder-based non-intrusive model order reduction in continuum mechanics From principal subspaces to principal components with linear autoencoders, 2018

Reference 33

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation b4aea00d-64ad-4a44-90bd-13e6fcfa366f · outbound

This paper cites Gonzalez and Maciej Balajewicz.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Gonzalez and Maciej Balajewicz

Reference 34

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 42487470-839b-4ea3-96b7-17e7b6d6e626 · outbound

This paper cites Deep learning of thermodynamics-aware reduced-order models from data.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Deep learning of thermodynamics-aware reduced-order models from data

Reference 35

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation c44a50ef-fb32-4d7c-8115-c4f00584726c · outbound

This paper cites A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs.

Autoencoder-based non-intrusive model order reduction in continuum mechanics A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs

Reference 36

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 14c4fd19-e89c-48f2-a90b-1a5e48839ecb · outbound

This paper cites Machine learning approach to model order reduction of nonlinear systems via autoencoder and lstm networks.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Machine learning approach to model order reduction of nonlinear systems via autoencoder and lstm networks

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:17.840389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:13.721393Z digest=sha256:f64ccd56a8f1fc24101e0b68fbdc6cc90f6bf5aa5540933e2a7a198e3bf6a55c

Observation 1cd42227-e177-4d69-b017-1ff25b3a27d3 · outbound

This paper cites Dimensionality reduction through convolutional autoencoders for fracture patterns prediction.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Dimensionality reduction through convolutional autoencoders for fracture patterns prediction

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:17.681182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation abb663a1-97e2-4e06-873f-9163a104df84 · outbound

This paper cites Hesthaven.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Hesthaven

Reference 39

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 0c9c4ff7-5d17-4dc1-88bf-ae3c8db80751 · outbound

This paper cites Fidkowski, and Kevin J.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Fidkowski, and Kevin J

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:17.390378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:13.910924Z digest=sha256:ec281d8a981fae69a8f0ce0c12245725a8dba96b2788fdf43d9930bb64a04247

Observation b6dcb406-2729-42d6-b9d9-dd8e04bed48b · outbound

This paper cites Low-dimensional data-based surrogate model of a continuum-mechanical musculoskeletal system based on non-intrusive model order reduction.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Low-dimensional data-based surrogate model of a continuum-mechanical musculoskeletal system based on non-intrusive model order reduction

Reference 41

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:13.985435Z digest=sha256:272d6e58096f64c346913490650d3c2161e62a37b3b98fefd45ea7312f7e11f6

Observation af10e83f-4ec5-4cc1-a77d-0a65a9d3aac1 · outbound

This paper cites Bordas, and Jakub Lengiewicz.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Bordas, and Jakub Lengiewicz

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:17.068807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 6ece0fbd-2a99-4e5e-b70f-45ce1440c400 · outbound

This paper cites A length scale insensitive phase-field damage model for brittle fracture.

Autoencoder-based non-intrusive model order reduction in continuum mechanics A length scale insensitive phase-field damage model for brittle fracture

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:16.950972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:14.130790Z digest=sha256:5201661d99dfbb941fe367df102385b8f15a92c54828e1b6643c344bc923b373

Observation 0294bcc8-4a18-4cc0-bec5-4907268a056f · outbound

This paper cites A multi- field decomposed model order reduction approach for thermo-mechanically coupled gradient-extended damage simulations.

Autoencoder-based non-intrusive model order reduction in continuum mechanics A multi- field decomposed model order reduction approach for thermo-mechanically coupled gradient-extended damage simulations

Reference 44

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:14.194739Z digest=sha256:47b34374a8f931f035cb03ba34571b5904df59c1de3905ef1a95c96eecef1d19

Observation f7342f9a-d99a-4360-98c0-2dd6c66405e5 · outbound

This paper cites Multi-field decomposed hyper-reduced order modeling of damage-plasticity simulations, 2025.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Multi-field decomposed hyper-reduced order modeling of damage-plasticity simulations, 2025

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:16.535535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:14.284728Z digest=sha256:77806675ebc13aacb66b71f6cbfa7aa57a3aa820ee2fe828b963228fbf3a5ac3

Observation 0dcf1ac6-85f0-493d-9ae0-8c1053f1d878 · outbound

This paper cites Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:16.347071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:14.364912Z digest=sha256:8df584b751d186d3fa782a6632218ec7b7ed2fe995f807687dd2285086a712aa

Observation 26038b61-ac54-49b4-b67e-f95d92b0a890 · outbound

This paper cites an unresolved cited work.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:49:16.084789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:14.444852Z digest=sha256:f6e552c3e4f94e05b16d5817ea31c03ef252e52dd026ace01ea64bbf0d9ac271

Observation f71588e8-0de6-4795-a2f4-3713bfb225fd · outbound

This paper cites Gaussian error linear units (gelus), 2023.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Gaussian error linear units (gelus), 2023

Reference 48

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T11:49:14.535314Z digest=sha256:34f9c7fa0e43bc99eb142cd363c70c729aad6b22f5f232ae1424931404a77f86

Observation 5b090d82-e724-41c2-9100-e974284b3742 · outbound

This paper cites ParaView: An end-user tool for large data visualization.

Autoencoder-based non-intrusive model order reduction in continuum mechanics ParaView: An end-user tool for large data visualization

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:15.903005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:14.615758Z digest=sha256:d2e71cce7c967401a18010e93db6d40fd200fea82ebaa5c1f679f98960b153f6

Observation d7d60665-5999-44cc-af6b-62524a414e74 · outbound

This paper cites Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:15.756472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:14.694986Z digest=sha256:4d1c2ab392f06d583ab7960e091163c3b3aa4bd08f80e4999f91f053419c854e

Observation ef3fa2c5-91fb-46c4-9505-7730982616b5 · outbound

This paper cites On the stability of POD basis interpolation on grassmann manifolds for parametric model order reduction.

Autoencoder-based non-intrusive model order reduction in continuum mechanics On the stability of POD basis interpolation on grassmann manifolds for parametric model order reduction

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:15.605467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:14.769486Z digest=sha256:1ccf9b8a9d357322fa75e28504204460f8315542a12e0bceedc47c6c821c31a6

Observation a7495fdd-cd35-4bab-ba1c-fd1e89c41e1f · outbound

This paper cites On finite thermal deformations.

Autoencoder-based non-intrusive model order reduction in continuum mechanics On finite thermal deformations

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:15.451006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:14.822713Z digest=sha256:476d8309f89612b2c40555bd18c1287cad4772f5e91b1bc406f84b67374849a8

Observation 7d1ecd13-f67c-4bec-b13c-4c8ddb2642dc · outbound

This paper cites Finite-strain thermoelasticity based on multiplicative decomposition of deformation gradient.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Finite-strain thermoelasticity based on multiplicative decomposition of deformation gradient

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:15.310060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:14.887475Z digest=sha256:272686a27128725863c74b848e3285c8c372897215fd84ea70363c4ce737ed5a

Observation 277f7db3-a026-412a-969d-99fa646f5c39 · outbound

This paper cites Felder, N.

Autoencoder-based non-intrusive model order reduction in continuum mechanics Felder, N

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:49:15.139446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T11:49:14.945653Z digest=sha256:a9e9155e32d23a7ab352806fb8ed932eb3b8db42c9e6bd5308468b6374180ae4

Pith citing papers

No inbound Pith citation observations are available.