Paper Citation Record · LEDGER

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes

As of 17 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2412.11315.

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

pith.paper-citation-record.v1
2412.11315 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:12:23.390821Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

42 of 42 outbound references displayed

verified exact0
verified fuzzy24
unresolved18
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e82dd295-06b3-49d2-af93-fa5a414f6b77 · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:24.037281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1f46afa8-b2f8-42c5-a37b-66ab640f9fcf · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:24.022828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7f692f33-4a94-4dad-b81a-0100aa8a5856 · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:24.008459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7bfb2a8a-862a-4598-9d68-fbc35fce780c · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.994685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation caa20cc3-174c-4b98-89e3-4fdf8fa4d18c · outbound

This paper cites Cao and C.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Cao and C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.981441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cf1cab72-fb5f-4c06-beb3-3be777172c1c · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.967767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cb9fcca1-79da-4d93-bf9c-2ca85285695a · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.953398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c23d8c12-0f2e-4d24-9866-52dceae17302 · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.938625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 65b0bb6e-ed25-49df-ac0a-26499516fd8a · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.922952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f4ae00c0-63a5-4ae1-87d9-da6da2a3d40b · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.908388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 22bdd9a6-0c8d-4cfd-8e82-e89ac16ec26e · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.894175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b811dbf8-189d-4bf7-8aab-574aa17d345c · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.879147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7afa3938-66eb-4a5d-aa49-62635828d3c3 · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.864800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 945fc8ba-1d52-4d48-8482-2a1ac35a80af · outbound

This paper cites Li and C.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Li and C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.851290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 89039520-50fb-4451-9618-744fe2b3c615 · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.837416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 21a2b2f6-40db-4303-a19d-8db49de879f8 · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.824399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b1b84ed6-80cb-4a11-b43e-fbf9461dd252 · outbound

This paper cites an unresolved cited work.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:12:23.810941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation df76b709-f461-4d39-9492-3713ce689feb · outbound

This paper cites W ang, A Preconditioner for the FETI-DP Method for Mortar-Type Cro uzeix-Raviart Element Discretization , Applications of Mathematics, Vol.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, A Preconditioner for the FETI-DP Method for Mortar-Type Cro uzeix-Raviart Element Discretization , Applications of Mathematics, Vol

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.797036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e938e67b-52a3-4b6d-a829-3a38f94dc5fc · outbound

This paper cites W ang, New Discretization Schemes for Time-Harmonic Maxwell Equa tions by Weak Galerkin Finite Element Methods , Journal of Computational and Applied Mathematics, Vol.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, New Discretization Schemes for Time-Harmonic Maxwell Equa tions by Weak Galerkin Finite Element Methods , Journal of Computational and Applied Mathematics, Vol

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.782350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a3ccd32e-6d6d-4b86-b9c4-85e365127a9e · outbound

This paper cites W ang, Low Regularity Primal-Dual Weak Galerkin Finite Element Me thods for Ill-Posed Elliptic Cauchy Problems , Int.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, Low Regularity Primal-Dual Weak Galerkin Finite Element Me thods for Ill-Posed Elliptic Cauchy Problems , Int

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.766124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7b90c763-4a10-4d47-9d74-a768d3f65ffb · outbound

This paper cites W ang, A Modiﬁed Primal-Dual Weak Galerkin Finite Element Method f or Second Order Elliptic Equations in Non-Divergence Form , Int.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, A Modiﬁed Primal-Dual Weak Galerkin Finite Element Method f or Second Order Elliptic Equations in Non-Divergence Form , Int

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.750499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a5f80f24-058e-40af-94e0-8eb17d681a14 · outbound

This paper cites W ang, A New Primal-Dual Weak Galerkin Finite Element Method for Il l-posed Elliptic Cauchy Problems , Journal of Computational and Applied Mathematics, vol 371 , 112629, 2020.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, A New Primal-Dual Weak Galerkin Finite Element Method for Il l-posed Elliptic Cauchy Problems , Journal of Computational and Applied Mathematics, vol 371 , 112629, 2020

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.734663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d46941ed-a5ed-4f12-9cac-10e835cd86de · outbound

This paper cites Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes without Convexity Assumptions.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes without Convexity Assumptions

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T15:12:23.300063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 850e54b3-783c-4d7b-a91a-9611ecfde63b · outbound

This paper cites W ang and J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang and J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.717124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 515999e1-be05-4da1-abe0-f727eb1ceece · outbound

This paper cites W ang and J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang and J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.700080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ab7f1357-63b5-4497-a519-5709a3da62e2 · outbound

This paper cites W ang and J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang and J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.685484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5cd6bc00-2e93-4d3f-a9f3-a2f1a95f894d · outbound

This paper cites W ang and J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang and J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.670851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6b892c69-b0d2-4264-a152-374fc4a3b627 · outbound

This paper cites W ang and J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang and J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.656023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 724b1fb4-25a2-40e7-b966-b4dbc0d7b817 · outbound

This paper cites W ang and J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang and J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.639723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c80642dd-b12d-4d61-9787-b7a9dcf3b2d8 · outbound

This paper cites W ang and C.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang and C

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T15:12:23.331784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30e31fd8-4f66-4a8c-98b5-8fb77f190b80 · outbound

This paper cites W ang and J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang and J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.613453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8f65f118-696a-4f61-be9b-08a17128e84a · outbound

This paper cites W ang, J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T15:12:23.341065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4b110a7-5240-47a1-97f3-dc8bb7c1f0c8 · outbound

This paper cites W ang, J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.587431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation df8c2f85-1331-4b94-8b67-29f832a724af · outbound

This paper cites W ang, J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.572145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7883ff10-8939-40aa-b8c8-6956c40a38d6 · outbound

This paper cites W ang, J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.557457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 66cadb56-5ddf-4c1a-86fe-1fdabd57a63f · outbound

This paper cites W ang, J.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.542365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 34706f88-d9e6-455e-9031-d54106a013bc · outbound

This paper cites W ang, and X.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, and X

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.526405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 02bf42d2-1542-46a6-8acd-1f6b1a071471 · outbound

This paper cites W ang, X.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang, X

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.509391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2f5d77e4-82c4-4056-9bb3-5f18323a9fd1 · outbound

This paper cites W ang and S.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang and S

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.494275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6c180a80-43fe-4a6d-9929-6ae4cbdc9a5e · outbound

This paper cites W ang and L.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang and L

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.479466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation be9f34aa-bcb6-4291-9b88-a67a701afad0 · outbound

This paper cites W ang and H.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes W ang and H

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.464246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3f026ce4-1c45-4f95-bdc3-2ea473b6a9a7 · outbound

This paper cites Xiu and S.

Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes Xiu and S

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:12:23.448334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.