Paper Citation Record · LEDGER

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources

As of 13 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2506.16875.

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

pith.paper-citation-record.v1
2506.16875 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:40:21.551154Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

39 of 39 outbound references displayed

verified exact8
verified fuzzy8
unresolved18
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8f2f29b4-cabe-4007-85c2-f676ee98d33f · outbound

This paper cites Amestoy, C.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Amestoy, C

Reference 1

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Observation 57a2d535-a1e4-4a1c-85cc-cccd882b8571 · outbound

This paper cites Amestoy, R.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Amestoy, R

Reference 2

Resolution: verified exact; doi, observed 2026-08-06T23:40:23.055138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 03b9a11b-5992-4786-86d2-81d3a52a344d · outbound

This paper cites Amestoy, A.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Amestoy, A

Reference 3

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Observation 48c903b5-a2b0-4131-91ce-9c256f369de0 · outbound

This paper cites an unresolved cited work.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Unresolved cited work

Reference 4

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Observation d14c1682-9454-4b89-98cc-189f3627a11f · outbound

This paper cites an unresolved cited work.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Unresolved cited work

Reference 5

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Observation c27d7d51-7b00-4679-b07f-48cc89ec64ac · outbound

This paper cites Antoine and C.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Antoine and C

Reference 6

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Observation 11c9bdcf-54a6-4998-a3b9-ab44861fb655 · outbound

This paper cites Balay, S.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Balay, S

Reference 7

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Source-reported events for the cited work

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Observation 539be70d-2e1c-4e75-b873-bdace2d479be · outbound

This paper cites Bootland, S.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Bootland, S

Reference 8

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Observation c70518da-4954-4178-b27c-2ca338ec733c · outbound

This paper cites Bootland, V.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Bootland, V

Reference 9

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Observation 2a1014cf-42d8-44dd-b7ae-ec08e6ddcd68 · outbound

This paper cites Boubendir, X.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Boubendir, X

Reference 10

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Source-reported events for the cited work

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Observation 2fb635f2-8ad6-4976-b04a-fae8e684d901 · outbound

This paper cites Conen, V.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Conen, V

Reference 11

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Source-reported events for the cited work

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Observation 4fb070d9-e745-43ba-9995-b9bb7fb22758 · outbound

This paper cites an unresolved cited work.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Unresolved cited work

Reference 12

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Observation f3dde7dd-a7e2-41cb-81bd-535e31d8b186 · outbound

This paper cites Schwarz preconditioner with $H_k$-GenEO coarse space for the indefinite Helmholtz problem.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Schwarz preconditioner with $H_k$-GenEO coarse space for the indefinite Helmholtz problem

Reference 13

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Source-reported events for the cited work

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Observation 1b93c7bb-c427-4b58-b534-85a8311270bc · outbound

This paper cites Dolean, M.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Dolean, M

Reference 14

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Source-reported events for the cited work

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Observation d0649b53-1f3a-4a76-a411-4ae81b999d10 · outbound

This paper cites Dolean, P.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Dolean, P

Reference 15

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Source-reported events for the cited work

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Observation dfc50ca9-ccf3-4c19-9e7b-ccf410c5777c · outbound

This paper cites an unresolved cited work.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Unresolved cited work

Reference 16

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Observation e845fccc-6851-411a-94b0-afd453dceb11 · outbound

This paper cites an unresolved cited work.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Unresolved cited work

Reference 17

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Observation 9eca4d89-acd6-49d7-8e14-e75902ea21bb · outbound

This paper cites an unresolved cited work.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Unresolved cited work

Reference 18

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Source-reported events for the cited work

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Observation 14b3b63c-ab2d-48b9-84a5-22f9bff5a7e1 · outbound

This paper cites an unresolved cited work.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Unresolved cited work

Reference 19

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Observation 1c9141fd-8649-4e4d-a959-88ec77b4246e · outbound

This paper cites Geuzaine and J.-F.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Geuzaine and J.-F

Reference 20

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Observation 274b9812-18bc-4618-8102-7024e66b923f · outbound

This paper cites an unresolved cited work.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Unresolved cited work

Reference 21

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Observation 39c53650-8b71-4735-ab5b-25518fd7a50f · outbound

This paper cites G ´orszczyk and S.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources G ´orszczyk and S

Reference 22

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Observation d96635d7-e459-48d1-95ca-918c0d4aa35f · outbound

This paper cites Jolivet, J.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Jolivet, J

Reference 23

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 293e6a8e-a2c6-49d3-862a-832698264ff6 · outbound

This paper cites Jolivet and P.-H.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Jolivet and P.-H

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:40:24.333676Z

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Observation 4d444915-c199-4e27-95be-3324ad2dc5ae · outbound

This paper cites Karypis and V.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Karypis and V

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e1bf9c5a-9831-4c0b-89b3-93d4f40b8eea · outbound

This paper cites an unresolved cited work.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Unresolved cited work

Reference 26

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Observation 440c0c8d-4772-4d63-9a2f-d0cdb7463623 · outbound

This paper cites M ´etivier, R.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources M ´etivier, R

Reference 27

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Observation 0aadae3c-3538-4091-8cbb-7cabf03a200d · outbound

This paper cites Modave, A.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Modave, A

Reference 28

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This paper cites Nataf, Interface connections in domain decomposition methods, Springer Netherlands, Dor- drecht, 2002, pp.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Nataf, Interface connections in domain decomposition methods, Springer Netherlands, Dor- drecht, 2002, pp

Reference 29

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 314da10d-3dbd-4bd8-a54e-74445e0c698c · outbound

This paper cites Testing performance with and without Block Low Rank Compression in MUMPS and the new PaStiX 6.0 for JOREK nonlinear MHD simulations.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Testing performance with and without Block Low Rank Compression in MUMPS and the new PaStiX 6.0 for JOREK nonlinear MHD simulations

Reference 30

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ed231f0-bb06-4dc5-9fa3-771596f5d9b2 · outbound

This paper cites Operto, P.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Operto, P

Reference 31

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Observation 5f739670-af99-435b-87a2-932c5054263b · outbound

This paper cites an unresolved cited work.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Unresolved cited work

Reference 32

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Source-reported events for the cited work

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Observation bf549719-0dd8-4d0a-b20a-8e3a98cbbbb7 · outbound

This paper cites Roux and A.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Roux and A

Reference 33

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d225d0d-e712-4a67-9287-77432f2af273 · outbound

This paper cites an unresolved cited work.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Unresolved cited work

Reference 34

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Observation cd3b9b00-7eb3-430d-8790-cfbc53657791 · outbound

This paper cites Royer, E.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Royer, E

Reference 35

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e5f080a2-9067-48aa-9cee-0e8738e17946 · outbound

This paper cites Royer, C.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Royer, C

Reference 36

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9c2e4cde-05f4-4baf-9415-1eca89ba5c0a · outbound

This paper cites Solin, K.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Solin, K

Reference 37

Resolution: verified exact; doi, observed 2026-08-06T23:40:21.953716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0c46c7fd-9d93-40a1-93be-3ffcd69da4bd · outbound

This paper cites St-Cyr, M.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources St-Cyr, M

Reference 38

Resolution: verified exact; doi, observed 2026-08-06T23:40:21.775023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 10c12a96-8ca3-40e2-9791-cfe061ff148e · outbound

This paper cites Tournier, P.

Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources Tournier, P

Reference 39

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.