Paper Citation Record · LEDGER

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface

As of 20 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2508.19198.

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

pith.paper-citation-record.v1
2508.19198 v3

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:00:31.468929Z

measured 47 of 47 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 2026-07-08T19:50:36.971906Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-08T19:55:33.883479Z

Reference resolution

46 of 46 outbound references displayed

verified exact0
verified fuzzy31
unresolved15
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 465cda15-190d-4983-a630-7b8c550583c4 · outbound

This paper cites Abels, Y.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Abels, Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:33.144641Z

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 dae73671-6e45-4a26-a286-6b2430511065 · outbound

This paper cites Arroyo and A.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Arroyo and A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:33.119610Z

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 9754792e-46df-451d-b24f-6b71e07f9711 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:33.088429Z

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 d386089d-6315-4d95-bc38-428ea73242f3 · outbound

This paper cites Math., 120 (2012), pp.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Math., 120 (2012), pp

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:33.042260Z

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 bf05c1a7-f6c2-4340-953e-ffaba91a567f · outbound

This paper cites Methods Appl.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Methods Appl

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:33.015937Z

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 9db9d6dd-a8d0-4448-b9b3-4e06435239d0 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:32.972561Z

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 d89846fd-a277-4f17-8b30-b7dd91f3e75f · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:32.915452Z

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 f411e301-7ddc-42b1-8176-6327cce5fe09 · outbound

This paper cites Math., 134 (2016), pp.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Math., 134 (2016), pp

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.876736Z

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 0cda2455-9be9-445e-ad10-c44182491600 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:32.843162Z

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 fceb1008-79c0-4e91-b229-40d616dd110e · outbound

This paper cites Bonito, R.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Bonito, R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.819726Z

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 36009d98-22c0-42f4-8559-dcd1f3e59baa · outbound

This paper cites Brandner, T.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Brandner, T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.784399Z

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 d216a3e6-79e7-47c5-996a-ae729d40da26 · outbound

This paper cites Brandner, A.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Brandner, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.759629Z

Source-reported events for the cited work

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Observation 0d901a6e-ea18-475d-a019-913ecbe155fa · outbound

This paper cites Brazda, M.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Brazda, M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.718839Z

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 9067a6a9-7cdd-44b6-970e-4cda34f855b1 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:32.688555Z

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 212ac747-de5b-484d-9e74-01a8f0a082b7 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:32.658793Z

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 b0c0acf3-7a68-47eb-b2bc-a41b008c2704 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:32.632152Z

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 9235d591-97fb-43fa-82b2-c488a30be6f3 · outbound

This paper cites Demlow, Higher-order finite element methods and pointwise error estimates for elliptic problems on surfaces , SIAM J.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Demlow, Higher-order finite element methods and pointwise error estimates for elliptic problems on surfaces , SIAM J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.598173Z

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 81f4edd8-4a94-4051-9dcf-d5518ee1f600 · outbound

This paper cites Dziuk , Computational parametric Willmore flow , Numer.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Dziuk , Computational parametric Willmore flow , Numer

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.533654Z

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 a4960f69-9f02-4f95-b0ff-b3caf44721fd · outbound

This paper cites Dziuk and C.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Dziuk and C

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.510124Z

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 b5434890-d9c1-4775-b6eb-5eb2547e9fe9 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:32.469608Z

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 9127f491-2a88-4ec2-9103-fcf5d8b053db · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:32.437063Z

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 9972fad9-f0c4-437d-ba5a-8435118fa542 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:32.416357Z

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 2d6bf089-a09e-4cb6-9197-59f0fa50213a · outbound

This paper cites Fries, Higher-order surface FEM for incompressible Navier–Stokes flows on manifolds, Internat.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Fries, Higher-order surface FEM for incompressible Navier–Stokes flows on manifolds, Internat

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.389097Z

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 08628ed5-5bc8-424d-80af-a054d5e2b259 · outbound

This paper cites Hardering and S.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Hardering and S

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.355907Z

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 a2ac8e8f-c15f-4c08-8f39-5ba4c4b73978 · outbound

This paper cites Heine , Computations of Form and Stability of Rotating Drops with Finite Elements, PhD thesis, University of Aachen, Aachen, 2003.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Heine , Computations of Form and Stability of Rotating Drops with Finite Elements, PhD thesis, University of Aachen, Aachen, 2003

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.313376Z

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 f3049213-79a4-4e05-93e2-d6267228d7f9 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:32.283777Z

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 aa628db5-1010-44c7-88e3-e2196ef7de5f · outbound

This paper cites Jankuhn, M.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Jankuhn, M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.249161Z

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 0a7946fd-e0c0-4642-b4c6-85fa7617fa1b · outbound

This paper cites Jankuhn, M.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Jankuhn, M

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.190207Z

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 153c6893-4a49-4917-9b01-223c392463d3 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:32.150554Z

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 f40dbd20-4fae-4979-b3a1-dddcdbae3da8 · outbound

This paper cites Krause, E.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Krause, E

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.122954Z

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 421d262b-d194-4229-b538-0ef32a3a0ff3 · outbound

This paper cites Krause and A.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Krause and A

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.090973Z

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 c35faed0-2c25-4d1e-8826-bc28125b5a6e · outbound

This paper cites Miura, On singular limit equations for incompressible fluids in moving thin domains, Quart.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Miura, On singular limit equations for incompressible fluids in moving thin domains, Quart

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.054829Z

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 36b969b8-53b2-40ae-a106-b59dc538853e · outbound

This paper cites Neunteufel, J.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Neunteufel, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:32.020190Z

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 bfb5ec80-42e1-406a-aab3-9799034ccd73 · outbound

This paper cites Nitschke, S.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Nitschke, S

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:31.981069Z

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 269f6c14-6010-4599-b12c-b139facf57c9 · outbound

This paper cites A., 476 (2020), pp.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface A., 476 (2020), pp

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:31.937546Z

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 24c3748d-d465-4a22-ad0f-c0bf4f23386e · outbound

This paper cites Nitschke, A.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Nitschke, A

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:31.897377Z

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 d3078dc5-e224-4792-a18c-31f82795c5a4 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:31.863679Z

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 927fb6dd-8533-417e-bcb5-d96ab54d416b · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:31.822955Z

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 e7d8959b-f277-49e9-b013-406c70340420 · outbound

This paper cites Rahimi and M.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Rahimi and M

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:31.802330Z

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 52adbb8c-8003-4d95-8808-abe8bba479af · outbound

This paper cites Reusken , Analysis of the Taylor–Hood surface finite element method for the surface Stokes equation , Math.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Reusken , Analysis of the Taylor–Hood surface finite element method for the surface Stokes equation , Math

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:31.769959Z

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 6f7e7297-c72c-4d27-b11d-1b8c3b000d07 · outbound

This paper cites Reuther, I.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Reuther, I

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:31.717650Z

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 613a1b90-8c87-42ba-bda0-67fa0c05356d · outbound

This paper cites Reuther and A.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Reuther and A

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:31.668351Z

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 a46b5956-6132-45b3-b4bd-16a52d6aa63e · outbound

This paper cites Reuther and A.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Reuther and A

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:31.630461Z

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 4325672b-bbf5-40f6-b04d-61ff91312250 · outbound

This paper cites an unresolved cited work.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:00:31.608514Z

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 15721ab0-7bfd-4165-9982-af44b849e692 · outbound

This paper cites Schmidt and K.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface Schmidt and K

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:31.585905Z

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 270d9bdc-6949-4da7-9e5e-9668173075d0 · outbound

This paper cites W ang, P.

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface W ang, P

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T16:00:31.560017Z

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 14ddb7e6-4e52-4339-9fc8-7f1db189d584 · inbound

A unified energy-stable finite element approximation for evolving fluidic biomembranes cites this paper.

A unified energy-stable finite element approximation for evolving fluidic biomembranes A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-20T02:18:19.134304Z

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.