Paper Citation Record · LEDGER

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling

As of 20 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2412.07126.

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

pith.paper-citation-record.v1
2412.07126 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:10:51.167563Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-13T18:09:17.507069Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T18:13:05.636442Z

Reference resolution

27 of 27 outbound references displayed

verified exact5
verified fuzzy3
unresolved16
parse uncertain0
malformed identifier2
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9e7a8fc4-170d-4928-9811-6473fe05ea5b · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.019449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a09c9033-36ec-40e6-bcf0-f60603782a32 · outbound

This paper cites Kovachki, Z.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Kovachki, Z

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:10:52.177908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d9ca38b8-cb25-4a02-a0bd-81986a29933a · outbound

This paper cites Lagaris, A.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Lagaris, A

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.029315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61a4fbb9-0240-41c6-a76f-05eb9b4257f1 · outbound

This paper cites Raissi, P.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Raissi, P

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.034033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa4e233b-355a-4f87-8395-d4e33639fb10 · outbound

This paper cites Sirignano, K.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Sirignano, K

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.039245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94ea47dc-5c2c-4cc8-afe1-bb17cd1b5cd8 · outbound

This paper cites Haghighat, M.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Haghighat, M

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.044596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e9573ed-47c7-47cb-a47e-8671e7a8d0ff · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-08-11T19:10:51.354495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bb1a09d7-5593-4aa1-a463-7d69cef84da6 · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.059170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7ada880-f124-48d7-9f96-af21f13f5cab · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.063481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9a475e2-4246-47af-b7d1-465fbd13ff0f · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.068568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29fcf30f-c63c-4f0d-b886-da9d155c93be · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-08-11T19:10:51.316334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 18ce3ca2-1401-43aa-9dbc-2ca2f04bed7d · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.078422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 277b3b50-c0f8-4729-a305-8267c98de9c6 · outbound

This paper cites Karumuri, R.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Karumuri, R

Reference 13

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T19:10:51.927684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d8cd2c75-5792-459e-8c14-af3f6487a8ab · outbound

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

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Variational Physics-Informed Neural Networks For Solving Partial Differential Equations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.088455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75182fa1-03e7-4778-96df-acad0b3fca75 · outbound

This paper cites Kharazmi, Z.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Kharazmi, Z

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.093846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1db00c19-63dd-4d9c-b4ee-bd24b6c928f7 · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.099547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1a33fda-f809-4019-be00-7e025ba1ecee · outbound

This paper cites Joshi, V.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Joshi, V

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:10:52.156488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 70fe839f-ec30-459b-be50-4ffa7128c5ea · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.111174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ee8c31f-7322-4a54-bcc4-4e8d258f24a9 · outbound

This paper cites Sheng, C.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Sheng, C

Reference 19

Resolution: malformed identifier; no resolver link, observed 2026-08-11T19:10:51.116384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fee7c574-6804-4a50-9bef-bb0dcac30c17 · outbound

This paper cites Goodfellow, Y.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Goodfellow, Y

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:10:52.140139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bc7c69a4-d3e5-45ac-abb4-8e93fe35ec0f · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.133705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2c8ba7e-a413-4fc9-8485-96606a7fb4ce · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:10:52.122389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 625a5031-1f7a-45c5-8036-94b0e16df127 · outbound

This paper cites Wriggers, Nonlinear Finite Element Methods, Springer Berlin Heidelberg, Berlin, Heidelberg, 2008.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Wriggers, Nonlinear Finite Element Methods, Springer Berlin Heidelberg, Berlin, Heidelberg, 2008

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T19:10:51.145793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 743f83b5-478e-4575-a9c5-99aef14cf1b5 · outbound

This paper cites Hua, An inverse transformation for quadrilateral isoparametric elements: Analysis and application, Finite Elements in Analysis and Design 7 (2) (1990) 159–166.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Hua, An inverse transformation for quadrilateral isoparametric elements: Analysis and application, Finite Elements in Analysis and Design 7 (2) (1990) 159–166

Reference 24

Resolution: verified exact; doi, observed 2026-08-11T19:10:51.270682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7d796258-cb68-4b5c-9373-12deb927ad5c · outbound

This paper cites Jordahl, J.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Jordahl, J

Reference 25

Resolution: malformed identifier; no resolver link, observed 2026-08-11T19:10:51.155657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ac9aec3-a33a-47dd-9edb-aa64a4082581 · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 26

Resolution: verified exact; doi, observed 2026-08-11T19:10:51.242062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dd987856-a322-4f35-a2e5-dec4eaf67dc6 · outbound

This paper cites an unresolved cited work.

FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling Unresolved cited work

Reference 27

Resolution: verified exact; doi, observed 2026-08-11T19:10:51.220493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 63227bbc-b254-4391-80f1-3389d1f054ce · inbound

A Differentiable Framework for Gradient Enhanced Damage with Physics-Augmented Neural Networks in JAX-FEM cites this paper.

A Differentiable Framework for Gradient Enhanced Damage with Physics-Augmented Neural Networks in JAX-FEM FE-PINNs: finite-element-based physics-informed neural networks for surrogate modeling

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-13T18:13:05.637837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.