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Paper Citation Record · LEDGER

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.03894.

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

pith.paper-citation-record.v1
1908.03894 v3

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:10:31.311119Z

measured 28 of 28 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 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

28 of 28 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7cb2e5e4-44b2-455d-ac5d-a53376803578 · outbound

This paper cites Adams, J.J.F.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Adams, J.J.F

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 07953ece-db34-41ec-aee5-17cd5a1ff822 · outbound

This paper cites Apel : Anisotropic Finite Element: Local estimates and applications, Advances in Numerical Mathematics.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Apel : Anisotropic Finite Element: Local estimates and applications, Advances in Numerical Mathematics

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f919298c-deb5-4250-9922-5677ed376247 · outbound

This paper cites Atkinson: An Introduction to Numerical Analysis, 2nd edition, John Wiley & Sons, New York, 1989.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Atkinson: An Introduction to Numerical Analysis, 2nd edition, John Wiley & Sons, New York, 1989

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3c4109ba-821f-4f65-aa88-913ccda688db · outbound

This paper cites Babuˇ ska, A.K.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Babuˇ ska, A.K

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation baab71c5-8d84-4cd0-bafc-a42f6b5ff7ee · outbound

This paper cites Barnhill, J.A.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Barnhill, J.A

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 39963934-cda8-416c-8188-8df4bbc1eb27 · outbound

This paper cites Brenner, L.R.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Brenner, L.R

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e303db8b-dcfd-4ae4-9277-e74c9b64ab77 · outbound

This paper cites Brezis: Functional Analysis, Sobolev Spaces and Partial Differential Equations.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Brezis: Functional Analysis, Sobolev Spaces and Partial Differential Equations

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f404df5e-590b-4c6a-a96c-8011bd1bba3b · outbound

This paper cites Ciarlet: The Finite Element Methods for Elliptic Problems.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Ciarlet: The Finite Element Methods for Elliptic Problems

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ef0b97fd-a9f6-45ac-a441-f148556b9fb8 · outbound

This paper cites Brandts, S.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Brandts, S

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f44d6531-709d-4103-899b-2ab95a7e5f89 · outbound

This paper cites Hannukainen, S.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Hannukainen, S

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 233d3ab9-d03f-4acd-9db4-c2db2a9432e8 · outbound

This paper cites Horn, C.R.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Horn, C.R

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 288677d5-bdae-4c08-9330-f8a78715cf54 · outbound

This paper cites Jamet : Estimations d’erreur pour des elements finis droits presque degeneres.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Jamet : Estimations d’erreur pour des elements finis droits presque degeneres

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ef42da0a-3bfc-4e43-9645-5493d3ffbfdc · outbound

This paper cites Kobayashi : On the interpolation constants over triangular elements (in Japanese), RIMS Kokyuroku, 1733 (2011), 58-77.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Kobayashi : On the interpolation constants over triangular elements (in Japanese), RIMS Kokyuroku, 1733 (2011), 58-77

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 111cdf2c-8254-4395-989b-cd4b0f8481d7 · outbound

This paper cites Kobayashi, T.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Kobayashi, T

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fd5f5afa-de20-46c0-8389-da65e9c4b14a · outbound

This paper cites Kobayashi, T.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Kobayashi, T

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a97c03ea-3350-4755-bfa0-49692c9f7fec · outbound

This paper cites Kobayashi, T.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Kobayashi, T

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8ae0d9cb-9640-460e-9ca9-de4fd2cc0d8f · outbound

This paper cites Math., Praha 61 (2016), 121–133.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Math., Praha 61 (2016), 121–133

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7f321476-60c9-4beb-8d56-b7a27d02dd92 · outbound

This paper cites Kˇ r´ ıˇ zek: On semiregular families of triangulations and linear interpolation.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Kˇ r´ ıˇ zek: On semiregular families of triangulations and linear interpolation

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7ba0fa28-364c-456f-bdee-2a1fdc06b67b · outbound

This paper cites Kˇ r´ ıˇ zek: On the maximum angle condition for linear tetrahedral elements.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Kˇ r´ ıˇ zek: On the maximum angle condition for linear tetrahedral elements

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6c2d411c-998a-4e56-9252-a9f3fb499c30 · outbound

This paper cites Kufner, O.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Kufner, O

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f1b602f4-46d0-4fe3-9f66-3c45bf8c91ee · outbound

This paper cites an unresolved cited work.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Unresolved cited work

Reference 22

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8fc7a495-56b9-46db-ba8a-10717cc00a99 · outbound

This paper cites Oswald : Divergence of fem: Babuˇ ska-Aziz triangulations revisited, Appl.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Oswald : Divergence of fem: Babuˇ ska-Aziz triangulations revisited, Appl

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation aaed4414-d990-4ce3-987a-d73423bdb765 · outbound

This paper cites Shenk : Uniform error estimates for certain narrow Lagrange finite elements.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Shenk : Uniform error estimates for certain narrow Lagrange finite elements

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-14T14:10:31.458764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 162e048a-2aa9-48b7-aba8-13dfcec4ced5 · outbound

This paper cites Yamamoto : Introduction to Numerical Analysis, 2nd edition, (In Japanese), Saiensu-sha, 2003.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Yamamoto : Introduction to Numerical Analysis, 2nd edition, (In Japanese), Saiensu-sha, 2003

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:31.436353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:31.292821Z digest=sha256:a271e4eb014bcb4985a922c0504d7abd64ef232b8f97647fcf06530ae06ec7e6

Observation a2a0efc8-f157-4fc3-8e23-c18328f5ba0d · outbound

This paper cites Yamamoto: Elements of Matrix Analysis (in Japanese), Saiensu-sha, 2010.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Yamamoto: Elements of Matrix Analysis (in Japanese), Saiensu-sha, 2010

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:31.411521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d612d7ab-8719-4e13-bb1d-5eec592c45b9 · outbound

This paper cites ˇZen´ ıˇ sek: The convergence of the finite element method for boundary value prob- lems of a system of elliptic equations.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles ˇZen´ ıˇ sek: The convergence of the finite element method for boundary value prob- lems of a system of elliptic equations

Reference 27

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raw_fallback, observed 2026-08-14T14:10:31.387527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3d79e8d6-f374-45fa-9474-ecf3e2da6628 · outbound

This paper cites Zl´ amal: On the finite element method, Numer.

Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption Part 1: Lagrange interpolation on triangles Zl´ amal: On the finite element method, Numer

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:31.366065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:10:31.311119Z digest=sha256:cdfd7d0d95842a0afdbdbde64e488c610ece82f21d396f29bde70b77e75a013a

Pith citing papers

No inbound Pith citation observations are available.