Paper Citation Record · LEDGER

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes

As of 19 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2507.18896.

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

pith.paper-citation-record.v1
2507.18896 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:12:54.782352Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

37 of 37 outbound references displayed

verified exact4
verified fuzzy15
unresolved18
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8fd83058-63fd-4c48-a9fa-a1c4dd56f782 · outbound

This paper cites Badia and R.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Badia and R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:55.185749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7e4c2bbd-bda7-4bef-8420-b4faf3926f2f · outbound

This paper cites Knn and R.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Knn and R

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:55.176154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bddb122d-2941-49ee-8044-bccaf4dfcd2a · outbound

This paper cites Mardal, X.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Mardal, X

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:55.165702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3586646c-284e-432c-be9b-18b2844188a5 · outbound

This paper cites an unresolved cited work.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:12:55.151944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ebc80e8c-273d-4516-9429-ec8dd61640cd · outbound

This paper cites an unresolved cited work.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:12:55.140371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 70884cad-228d-446f-ba8b-e1650b444641 · outbound

This paper cites an unresolved cited work.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:12:55.127664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2c2ab1e8-e9b9-4bbd-a066-b33dc4abd883 · outbound

This paper cites an unresolved cited work.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:12:55.116451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 62e72983-dee5-4bda-9e69-dcb1f3f0e1e5 · outbound

This paper cites an unresolved cited work.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:12:55.105672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3ebd825b-859e-4a6d-b85d-af2cffcc0b81 · outbound

This paper cites an unresolved cited work.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.671218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2330f881-5e6e-4717-8652-c3c96118af1f · outbound

This paper cites an unresolved cited work.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.674508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bd0e5fc-e310-4ed4-aad9-fc5d0ee51d70 · outbound

This paper cites an unresolved cited work.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:12:55.082740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 78cd3144-7659-4dd5-a0cb-7cc20492ade6 · outbound

This paper cites an unresolved cited work.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.682607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cd994e5-aa66-42f5-a16f-cf49fdcaf2bf · outbound

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

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang, A Preconditioner for the FETI-DP Method for Mortar-Type Crouzeix-Raviart Element Discretization, Applications of Mathematics, Vol

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:55.065576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 74f8a949-8bd3-44be-89af-42b7eb824363 · outbound

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

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang, New Discretization Schemes for Time-Harmonic Maxwell Equations by Weak Galerkin Finite Element Methods , Journal of Computational and Applied Mathematics, Vol

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.691070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ca63e68-9fea-4cd8-821a-78ea58b3278e · outbound

This paper cites W ang , Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes, Electronic Research Archive, vol.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang , Simplified Weak Galerkin Finite Element Methods for Biharmonic Equations on Non-Convex Polytopal Meshes, Electronic Research Archive, vol

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:55.048581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0d87c0aa-99ac-4b8a-bc4a-41ab92849f15 · outbound

This paper cites Auto-Stabilized Weak Galerkin Finite Element Methods on Polytopal Meshes without Convexity Constraints.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Auto-Stabilized Weak Galerkin Finite Element Methods on Polytopal Meshes without Convexity Constraints

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.699157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61182281-1e3c-478a-98ec-76135fe88b23 · outbound

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

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes without Convexity Assumptions

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.702935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b16717f3-4112-4d1c-bcce-0fe0411fef49 · outbound

This paper cites W ang and J.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang and J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.706438Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0840a51a-4ae9-42e1-891d-ed8fcd798883 · outbound

This paper cites W ang and J.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang and J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.710846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d37ef365-47e9-45b0-bb4f-0eaea68d2b5d · outbound

This paper cites W ang and C.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang and C

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.714660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f7b187c-dbff-482c-9b44-0ffa4062d470 · outbound

This paper cites W ang and J.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang and J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:55.016237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 21db30a2-d7b0-487c-a727-aaca7af0557a · outbound

This paper cites W ang, J.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang, J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.722191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d55e689-9874-4ba6-a8f8-149abdb3b674 · outbound

This paper cites W ang, J.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:54.997833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3f3d3cb2-0769-4700-8501-42b6afe2486b · outbound

This paper cites W ang, J.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang, J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:54.985331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f06420dc-ba0e-40d5-a486-e9abc10fc00e · outbound

This paper cites W ang, J.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang, J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:54.975437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c1565134-e9a6-4e46-8ed4-d5fbf608d44b · outbound

This paper cites W ang, J.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:54.964641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6c141259-b0f5-495c-b84c-b11816aa4144 · outbound

This paper cites W ang, and X.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang, and X

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:54.953815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5210ae93-883e-4d28-ba8d-efb3b4753987 · outbound

This paper cites W ang, X.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang, X

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:54.942628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d08406a6-e45f-4886-8b0b-aad14d60132f · outbound

This paper cites W ang and S.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang and S

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.747701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a03ee39-039b-4aff-8675-f8f24ae9c3e9 · outbound

This paper cites W ang and S.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang and S

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:54.924327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 36ecbe1e-d03a-4dd7-9767-ce611e1744ec · outbound

This paper cites A Simple Weak Galerkin Finite Element Method for a Class of Fourth-Order Problems in Fluorescence Tomography.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes A Simple Weak Galerkin Finite Element Method for a Class of Fourth-Order Problems in Fluorescence Tomography

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:12:54.872765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7c605746-e1fc-406c-b688-6005b5975923 · outbound

This paper cites Stabilizer-free Weak Galerkin Methods for Quad-Curl Problems on polyhedral Meshes without Convexity Assumptions.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Stabilizer-free Weak Galerkin Methods for Quad-Curl Problems on polyhedral Meshes without Convexity Assumptions

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:12:54.858522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2596a098-fcd3-47f0-a7d3-b955b18f8cc6 · outbound

This paper cites W ang and S.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang and S

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:54.913290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cb01f56e-8b49-40d8-807c-05acdb7c4192 · outbound

This paper cites An Auto-Stabilized Weak Galerkin Method for Elasticity Interface Problems on Nonconvex Meshes.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes An Auto-Stabilized Weak Galerkin Method for Elasticity Interface Problems on Nonconvex Meshes

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:12:54.841935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fc06c247-3f24-414a-858f-ba390891561d · outbound

This paper cites Simplified Weak Galerkin Methods for Linear Elasticity on Nonconvex Domains.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes Simplified Weak Galerkin Methods for Linear Elasticity on Nonconvex Domains

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T18:12:54.773418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1af425c1-3e6b-466a-89ab-2fa7ef526556 · outbound

This paper cites W ang and H.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes W ang and H

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:12:54.901693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b68f5214-73a1-4aa4-be90-fd26ec209d4b · outbound

This paper cites A Stable Numerical Algorithm for the Brinkman Equations by Weak Galerkin Finite Element Methods.

A Simple and Robust Weak Galerkin Method for the Brinkman Equations on Non-Convex Polytopal Meshes A Stable Numerical Algorithm for the Brinkman Equations by Weak Galerkin Finite Element Methods

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:12:54.814768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.