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Paper Citation Record · LEDGER

On Edge Multiscale Space based Hybrid Schwarz Preconditioner for Helmholtz Problems with Large Wavenumbers

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2408.08198.

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

pith.paper-citation-record.v1
2408.08198 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T13:57:11.510218Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T20:26:12.536606Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation cc338112-5883-4139-a77a-9ecd2f5b33a7 · inbound

Theory of two-level Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation cites this paper.

Theory of two-level Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation On Edge Multiscale Space based Hybrid Schwarz Preconditioner for Helmholtz Problems with Large Wavenumbers

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-10T13:57:11.510218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T13:57:11.510218Z digest=sha256:e8b7f64c6773c794e0dddd13d1f53804ab7d294d4470e1534c91d79ead25202e

Observation 6ef86de7-9cea-4fea-bd91-06afe8485c31 · inbound

A quasi-Monte Carlo multiscale method for the wave propagation in random media cites this paper.

A quasi-Monte Carlo multiscale method for the wave propagation in random media On Edge Multiscale Space based Hybrid Schwarz Preconditioner for Helmholtz Problems with Large Wavenumbers

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-06T15:15:25.615970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T15:15:25.615970Z digest=sha256:42d10ef1ae28a543783a33cebb446ccda24b59d0c73416fc9985777395c3b30b

Observation 754963e9-6c6b-49c8-9af8-9452c3faa634 · inbound

Spectral coarse spaces based on indefinite operators: the $H_k$-GenEO method cites this paper.

Spectral coarse spaces based on indefinite operators: the $H_k$-GenEO method On Edge Multiscale Space based Hybrid Schwarz Preconditioner for Helmholtz Problems with Large Wavenumbers

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-07-01T20:26:12.539261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-28T21:13:13.357878Z digest=sha256:106574ff278481c8c654a43db825877e365b32b46a8965067dd5919ea6a4b838

Observation 38e1b068-65cd-4124-ba8d-7155efeb3275 · inbound

Edge Multiscale Finite Element Methods cites this paper.

Edge Multiscale Finite Element Methods On Edge Multiscale Space based Hybrid Schwarz Preconditioner for Helmholtz Problems with Large Wavenumbers

Reference 13

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T00:29:14.024180Z digest=sha256:a876dac29f10134e6eb320fe6c9e9b29a5d56a2cc918af503fc6f0edcd772594