Paper Citation Record · LEDGER

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures

As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.09380.

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

pith.paper-citation-record.v1
1908.09380 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:18:28.184415Z

measured 43 of 43 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

43 of 43 outbound references displayed

verified exact3
verified fuzzy36
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 06f16897-c153-4e13-9503-8accece749dc · outbound

This paper cites Abdulle, Analysis of the heterogeneous multiscale FEM for problems in elasticity, Math.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Abdulle, Analysis of the heterogeneous multiscale FEM for problems in elasticity, Math

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:32.785886Z

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.

Observation a8806dfa-6e2d-4c4c-940c-a92eb8726987 · outbound

This paper cites Abdulle, The finite element heterogeneous multiscale method: a computational strategy for multiscale PDEs, Math.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Abdulle, The finite element heterogeneous multiscale method: a computational strategy for multiscale PDEs, Math

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:32.774042Z

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.

Observation b53c3c9f-af02-4d6b-af74-75674a7eb096 · outbound

This paper cites Abdulle, W.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Abdulle, W

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:32.663989Z

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.

Observation 549c0811-227e-462c-82e8-a3a14d0cbb58 · outbound

This paper cites Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Effective description of anisotropic wave dispersion in mechanical band-gap metamaterials via the relaxed micromorphic model

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:18:28.441251Z

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.

Observation 143a1f15-a985-4672-8f9d-0cd2e086aad5 · outbound

This paper cites Allaire, Homogenization and two-scale convergence, SIAM J.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Allaire, Homogenization and two-scale convergence, SIAM J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:32.648670Z

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.

Observation 0e25c957-4bb1-4f99-be81-10b43782e0e7 · outbound

This paper cites Babu s ka, W.C.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Babu s ka, W.C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:32.499061Z

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.

Observation e0e0a7a0-324d-4c04-b601-0c6f829b1f3c · outbound

This paper cites Barlow, Optimal stress locations in finite element models, Int.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Barlow, Optimal stress locations in finite element models, Int

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:32.373507Z

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.

Observation d1381097-a797-4e43-8c65-98831c7134e3 · outbound

This paper cites Cioranescu, P.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Cioranescu, P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:32.206120Z

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.

Observation 8fd4740c-20b3-4596-9c1b-780900e76d2d · outbound

This paper cites an unresolved cited work.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:18:31.895079Z

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.

Observation c5ed996e-c41f-461d-8d46-292f6c8b4146 · outbound

This paper cites an unresolved cited work.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:18:31.808386Z

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.

Observation 2eee65f9-a825-435e-846f-84dd0f228a0d · outbound

This paper cites Eidel, A.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Eidel, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:31.643042Z

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.

Observation a94cdcbd-60ba-45c1-8110-94337de55d81 · outbound

This paper cites Eidel, A.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Eidel, A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:31.491466Z

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.

Observation 47483e12-9dc3-4c8e-bcf8-135bf5078a42 · outbound

This paper cites Eidel, A.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Eidel, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:31.373705Z

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.

Observation 44c693da-8255-4a6b-91b6-aae133ddbe22 · outbound

This paper cites Eidel, A.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Eidel, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:31.209669Z

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.

Observation 0802664d-f2ee-49db-8f68-8068784c7461 · outbound

This paper cites A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:18:28.420441Z

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.

Observation 1d146d09-832b-4448-a1b0-78eefaf26c4a · outbound

This paper cites Feyel, J.L.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Feyel, J.L

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:31.046901Z

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.

Observation 045f783d-4e34-4165-b6c6-9f01b0c54a88 · outbound

This paper cites Fischer, B.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Fischer, B

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:30.879040Z

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.

Observation edf716e7-784f-4e0d-8dd9-8302d83b8ff7 · outbound

This paper cites Geers, V.G.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Geers, V.G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:30.599936Z

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.

Observation 95177945-d729-4a4e-923c-817a77065e64 · outbound

This paper cites Hill, Elastic properties of reinforced solids: some theoretical principles, J.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Hill, Elastic properties of reinforced solids: some theoretical principles, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:30.156398Z

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.

Observation dc873a1f-b9d4-4264-9035-7550f457f2db · outbound

This paper cites Hill, On constitutive macro-variables for heterogeneous solids at finite strain, Proc.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Hill, On constitutive macro-variables for heterogeneous solids at finite strain, Proc

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.993985Z

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.

Observation 0178eb00-9f59-450a-865c-0eefc0de7dc5 · outbound

This paper cites Holzer, M.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Holzer, M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.830921Z

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.

Observation b738448f-1b77-47f9-a1ef-6d031a65ccde · outbound

This paper cites Ketcham, W.D.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Ketcham, W.D

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.734912Z

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.

Observation 49fcaa3d-6c49-4ee6-b720-e4025aab4106 · outbound

This paper cites Kouznetsova, W.A.M.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Kouznetsova, W.A.M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.691158Z

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.

Observation f551aa2c-1b5b-4417-88da-ba7df520225b · outbound

This paper cites Kouznetsova, M.G.D.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Kouznetsova, M.G.D

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.677819Z

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.

Observation e342f487-5bf3-4511-8bb1-a52089beecb0 · outbound

This paper cites Legrain, P.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Legrain, P

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.654579Z

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.

Observation a9e431d3-8b60-444f-a469-b178c2a76027 · outbound

This paper cites an unresolved cited work.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:18:29.640631Z

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.

Observation c42d4543-1471-4ed8-b870-6a4a6ef99b3b · outbound

This paper cites Michel, H.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Michel, H

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.627498Z

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.

Observation 38f0f19b-bf24-4691-82a5-038d9050aaeb · outbound

This paper cites Miehe, J.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Miehe, J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.486927Z

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.

Observation 0a87ed88-7839-463d-8268-2b6713eb43d4 · outbound

This paper cites Miehe, J.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Miehe, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.370358Z

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.

Observation 249d3592-3abe-467e-95f1-c4a87b4fffbd · outbound

This paper cites Miska, D.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Miska, D

Reference 30

Resolution: verified exact; doi, observed 2026-08-14T11:18:28.330700Z

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.

Observation 9147a4fe-7fc1-4495-99ca-098466d810b8 · outbound

This paper cites Nambiar, K.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Nambiar, K

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.351928Z

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.

Observation cd100eac-2edc-4b76-a3c3-42eb79d5d3f6 · outbound

This paper cites Nguyen, A.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Nguyen, A

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.330699Z

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.

Observation 39ecea90-c117-4acb-841f-e4d3012b8345 · outbound

This paper cites Pennycook, P.D.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Pennycook, P.D

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.199426Z

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.

Observation 3197c0b8-5872-431b-9363-a5b39e192bfc · outbound

This paper cites Peri\' c , E.A.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Peri\' c , E.A

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.055289Z

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.

Observation d1d35253-4c63-438e-88bd-bbab404f6e37 · outbound

This paper cites an unresolved cited work.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:18:29.039895Z

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.

Observation 96db8cea-49c3-4548-942e-32ae5061f7d9 · outbound

This paper cites Saputra, H.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Saputra, H

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.024404Z

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.

Observation c511c0f4-cbf6-4374-a8c3-aee74a8cd393 · outbound

This paper cites Saputra, V.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Saputra, V

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:29.010409Z

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.

Observation cfa4fb86-ea42-4bc6-ac1b-75dd771f4fe0 · outbound

This paper cites Saxena, R.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Saxena, R

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:28.910534Z

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.

Observation 68cb5ed5-899b-4a33-a18f-d97627a52701 · outbound

This paper cites o der, A numerical two-scale homogenization scheme: the FE ^2 -method, in: J. Schr\.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures o der, A numerical two-scale homogenization scheme: the FE ^2 -method, in: J. Schr\

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:28.740081Z

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.

Observation cbfa88e8-d472-4550-9121-cc9b0ec18655 · outbound

This paper cites Suquet, Elements of homogenization for inelastic solid mechanics, in: E.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Suquet, Elements of homogenization for inelastic solid mechanics, in: E

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:28.713059Z

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.

Observation 8989337f-a8cd-409d-b270-886d2b4beed3 · outbound

This paper cites Zienkiewicz, J.Z.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Zienkiewicz, J.Z

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:28.679880Z

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.

Observation 25a7e7a8-408d-4bc1-982e-25dd877c103b · outbound

This paper cites Zienkiewicz, J.Z.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Zienkiewicz, J.Z

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:28.533505Z

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.

Observation 4c67d38d-ef7a-4eba-bc1b-c45c263ceb77 · outbound

This paper cites Zienkiewicz, J.Z.

Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures Zienkiewicz, J.Z

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:18:28.458546Z

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.

Pith citing papers

No inbound Pith citation observations are available.