Paper Citation Record · LEDGER

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions

As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2509.17899.

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

pith.paper-citation-record.v1
2509.17899 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T15:59:53.189730Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:13:11.635168Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

verified exact0
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 15f31ffb-ee5c-40c0-9d11-8ee6264a8046 · outbound

This paper cites A stable finite element for the Stokes equa- tions.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions A stable finite element for the Stokes equa- tions

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T15:59:51.694822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3733dbc3-1deb-4ea7-acfc-73faaf7d01c0 · outbound

This paper cites Improved convergence of the Arrow–Hurwicz iteration for the Navier–Stokes equation via grad–div stabilization and Anderson acceleration.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions Improved convergence of the Arrow–Hurwicz iteration for the Navier–Stokes equation via grad–div stabilization and Anderson acceleration

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T15:59:52.654854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b988f13e-4ca8-41e3-84e8-d7070eafaf27 · outbound

This paper cites Some Uzawa methods for steady incompressible Navier-Stokes equations discretized by mixed element methods.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions Some Uzawa methods for steady incompressible Navier-Stokes equations discretized by mixed element methods

Reference 15

Resolution: malformed identifier; no resolver link, observed 2026-08-04T15:59:52.144767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84e99222-2836-4a31-a82c-e71a26fa1825 · outbound

This paper cites Springer, Cham, 2021, p.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions Springer, Cham, 2021, p

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-04T15:59:52.348865Z

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Unavailable: canonical work link unavailable.

Observation 567283f0-71e8-46d4-b709-4b2046fc3740 · outbound

This paper cites Finite element subspaces with optimal rates of convergence for the stationary Stokes problem.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions Finite element subspaces with optimal rates of convergence for the stationary Stokes problem

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-04T15:59:52.811043Z

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Unavailable: canonical work link unavailable.

Observation f1f9a6c5-b360-4cef-a77f-b276ffcaecd0 · outbound

This paper cites Exact smooth piecewise polynomial sequences on Alfeld splits.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions Exact smooth piecewise polynomial sequences on Alfeld splits

Reference 1983

Resolution: unresolved; no resolver link, observed 2026-08-04T15:59:52.454745Z

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Observation d81a96f0-e0e4-49a6-8434-a0c923745878 · outbound

This paper cites The FEniCS Project Version 1.5.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions The FEniCS Project Version 1.5

Reference 2003

Resolution: unresolved; no resolver link, observed 2026-08-04T15:59:51.797044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 628df70f-0add-4611-bae1-0734e37df6cb · outbound

This paper cites The Stokes complex: A review of exactly divergence-free finite element pairs for incompressible flows.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions The Stokes complex: A review of exactly divergence-free finite element pairs for incompressible flows

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-08-04T15:59:52.964819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b547e4b-b51b-4ef5-83a7-9e0f2990c767 · outbound

This paper cites Analysis of some finite elements for the Stokes problem.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions Analysis of some finite elements for the Stokes problem

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-04T15:59:52.014772Z

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Observation 9a1bde5c-79e4-4adc-b2ae-3dfe7a7bbcf7 · outbound

This paper cites Ann-dimensional Clough-Tocher interpolant.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions Ann-dimensional Clough-Tocher interpolant

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-04T15:59:53.189730Z

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Unavailable: canonical work link unavailable.

Observation 00f9f5e5-95d3-4958-a538-3e2eaa09cd81 · outbound

This paper cites Dimensions of Exactly Divergence-Free Finite Element Spaces in 3D.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions Dimensions of Exactly Divergence-Free Finite Element Spaces in 3D

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-04T15:59:53.074753Z

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Observation 8735a5c6-79ec-43c9-9654-dcdc23b78f86 · outbound

This paper cites Exact Integration for singular Zienkiewicz and Guzman-Neilan Finite Elements with Implementation.

Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions Exact Integration for singular Zienkiewicz and Guzman-Neilan Finite Elements with Implementation

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-04T15:59:52.214772Z

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Pith citing papers

Observation 44b136b8-6d69-4f7f-b0be-37378d7077bb · inbound

A local Fortin projection for the Scott-Vogelius elements on general meshes cites this paper.

A local Fortin projection for the Scott-Vogelius elements on general meshes Scott-Vogelius element and iterated penalty method for inhomogeneous Dirichlet boundary conditions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T15:13:11.635168Z

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Unavailable: canonical work link unavailable.