Paper Citation Record · LEDGER

Numerical homogenization for indefinite time-harmonic Maxwell equations

As of 5 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2604.22502.

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

pith.paper-citation-record.v1
2604.22502 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T10:48:08.806565Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T00:29:14.024180Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

verified exact9
verified fuzzy16
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6bd718ee-4aba-4050-86a1-3dc115875b7a · outbound

This paper cites Bulovyatov , A parallel multigrid method for band structure computation of 3D photonic crystals with higher order finite elements , PhD thesis, Karlsruhe, Univ., Diss., 2010.

Numerical homogenization for indefinite time-harmonic Maxwell equations Bulovyatov , A parallel multigrid method for band structure computation of 3D photonic crystals with higher order finite elements , PhD thesis, Karlsruhe, Univ., Diss., 2010

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.548292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 6c121e63-b5e8-4225-855a-c754ee200157 · outbound

This paper cites an unresolved cited work.

Numerical homogenization for indefinite time-harmonic Maxwell equations Unresolved cited work

Reference 2

Resolution: verified exact; doi, observed 2026-05-08T21:54:18.601142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation dbcb5b52-3a62-4fdc-b355-b4929e39556d · outbound

This paper cites Chicaud and P.

Numerical homogenization for indefinite time-harmonic Maxwell equations Chicaud and P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.551750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation c5494bb6-da6d-4983-ad7d-a83f553df48b · outbound

This paper cites Multiscale Methods for wave propagation in materials with sign-changing coefficients.

Numerical homogenization for indefinite time-harmonic Maxwell equations Multiscale Methods for wave propagation in materials with sign-changing coefficients

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:03:52.174791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 7958e193-5ced-48fb-b53d-d2b3bdf611ca · outbound

This paper cites an unresolved cited work.

Numerical homogenization for indefinite time-harmonic Maxwell equations Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-05-08T21:54:18.604494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a2ae8ac0-37fe-425c-9494-3378c7b077c2 · outbound

This paper cites Ciarlet , On the approximation of electromagnetic fields by edge finite elements.

Numerical homogenization for indefinite time-harmonic Maxwell equations Ciarlet , On the approximation of electromagnetic fields by edge finite elements

Reference 6

Resolution: verified exact; doi, observed 2026-05-08T21:59:16.242589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 43c7b72d-dacc-4fff-bbe4-6cd3ae72c6ca · outbound

This paper cites Ciarlet Jr, S.

Numerical homogenization for indefinite time-harmonic Maxwell equations Ciarlet Jr, S

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.555289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 2177c9cb-c37e-4d63-a6bf-9799f779786c · outbound

This paper cites Costabel, M.

Numerical homogenization for indefinite time-harmonic Maxwell equations Costabel, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.610002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 261e0c7a-5147-4e90-8c23-73d7e0c4023b · outbound

This paper cites Ern, J.-L.

Numerical homogenization for indefinite time-harmonic Maxwell equations Ern, J.-L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.602979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 3ae713f7-11f7-4262-91a8-8762dd75b777 · outbound

This paper cites an unresolved cited work.

Numerical homogenization for indefinite time-harmonic Maxwell equations Unresolved cited work

Reference 10

Resolution: verified exact; doi, observed 2026-05-08T21:54:18.597730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation dad739b1-60a5-410b-a86b-e880c5392825 · outbound

This paper cites Gallistl, P.

Numerical homogenization for indefinite time-harmonic Maxwell equations Gallistl, P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.589989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 1cf14b9a-3e0f-4443-ad03-9f6c983cb0c4 · outbound

This paper cites Girault and P.-A.

Numerical homogenization for indefinite time-harmonic Maxwell equations Girault and P.-A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.593097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 786266b3-70d1-45ef-b079-ddc181bb98e6 · outbound

This paper cites Grisvard , Elliptic problems in nonsmooth domains , SIAM.

Numerical homogenization for indefinite time-harmonic Maxwell equations Grisvard , Elliptic problems in nonsmooth domains , SIAM

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.580073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 3ec4aba7-1096-4534-b1c3-96cf059cc1ff · outbound

This paper cites Haddar, R.

Numerical homogenization for indefinite time-harmonic Maxwell equations Haddar, R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.583451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 2845bf40-9cd1-4dd2-8e63-14aff2dda100 · outbound

This paper cites Henning, M.

Numerical homogenization for indefinite time-harmonic Maxwell equations Henning, M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.586560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 2e327761-987c-48fd-bfed-c7bb5b11325f · outbound

This paper cites Henning and A.

Numerical homogenization for indefinite time-harmonic Maxwell equations Henning and A

Reference 16

Resolution: verified exact; doi, observed 2026-05-08T21:54:18.583005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a47f1051-691e-4a7e-8b36-72ee88df7a4e · outbound

This paper cites K r \' z ek and P.

Numerical homogenization for indefinite time-harmonic Maxwell equations K r \' z ek and P

Reference 17

Resolution: verified exact; doi, observed 2026-05-08T21:54:18.586688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 43b159aa-5c49-48ba-89ef-0c1ada084e29 · outbound

This paper cites Li , On the convergence rates of GM s FEM s for heterogeneous elliptic problems without oversampling techniques , Multiscale Model.

Numerical homogenization for indefinite time-harmonic Maxwell equations Li , On the convergence rates of GM s FEM s for heterogeneous elliptic problems without oversampling techniques , Multiscale Model

Reference 18

Resolution: verified exact; doi, observed 2026-05-08T21:54:18.594212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 4e334e46-2301-4189-9670-17bfc021b85a · outbound

This paper cites Lions and E.

Numerical homogenization for indefinite time-harmonic Maxwell equations Lions and E

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.576831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 0e917e2a-2676-421f-9ca1-2350d1a43712 · outbound

This paper cites Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems.

Numerical homogenization for indefinite time-harmonic Maxwell equations Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:56:06.969677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 67228520-5f23-4e5c-bcd5-170bc2e20a66 · outbound

This paper cites an unresolved cited work.

Numerical homogenization for indefinite time-harmonic Maxwell equations Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-26T14:52:31.596534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a3dc19a1-d286-4873-8c3e-8c764aca217a · outbound

This paper cites Monk , Finite Element Methods for Maxwell's Equations , Oxford University Press, Oxford.

Numerical homogenization for indefinite time-harmonic Maxwell equations Monk , Finite Element Methods for Maxwell's Equations , Oxford University Press, Oxford

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.599737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation c85fd3a1-84a8-44b9-b028-273ebe7ba927 · outbound

This paper cites an unresolved cited work.

Numerical homogenization for indefinite time-harmonic Maxwell equations Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-26T14:52:31.573700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 88d7c587-a4a8-416c-90e0-2b664ea4f293 · outbound

This paper cites ur Angewandte Mathematik, Universit\.

Numerical homogenization for indefinite time-harmonic Maxwell equations ur Angewandte Mathematik, Universit\

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.566335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation e3c687b5-bb6a-4ba0-be26-1f4f906a7662 · outbound

This paper cites Schweizer , On Friedrichs inequality, Helmholtz decomposition, vector potentials, and the div-curl lemma , Springer.

Numerical homogenization for indefinite time-harmonic Maxwell equations Schweizer , On Friedrichs inequality, Helmholtz decomposition, vector potentials, and the div-curl lemma , Springer

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.569928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 3841484c-825e-4617-b698-169c89e5a94d · outbound

This paper cites Verf \"u rth , Heterogeneous multiscale method for the M axwell equations with high contrast , ESAIM: Math.

Numerical homogenization for indefinite time-harmonic Maxwell equations Verf \"u rth , Heterogeneous multiscale method for the M axwell equations with high contrast , ESAIM: Math

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.563256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 2b895fd7-87b4-48db-9ac5-71fe30d490f8 · outbound

This paper cites write newline.

Numerical homogenization for indefinite time-harmonic Maxwell equations write newline

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T14:52:31.559460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Pith citing papers

Observation d0676520-e90c-4aab-8599-892163ea5093 · inbound

Edge Multiscale Finite Element Methods cites this paper.

Edge Multiscale Finite Element Methods Numerical homogenization for indefinite time-harmonic Maxwell equations

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-12T00:29:14.024180Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.