Paper Citation Record · LEDGER

High Performance Parallel Solvers for the time-harmonic Maxwell Equations

As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2507.13066.

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

pith.paper-citation-record.v1
2507.13066 v1

Coverage vector

measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T16:37:18.957774Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

32 of 32 outbound references displayed

verified exact0
verified fuzzy28
unresolved4
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 01857bc8-999e-4d9d-8a7b-020db9e9d836 · outbound

This paper cites Finite element methods for Maxwell’s equations.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Finite element methods for Maxwell’s equations

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:24.852832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cac3aa66-11be-4f19-9a59-9dadd3ef7a20 · outbound

This paper cites Mixed finite elements in R3.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Mixed finite elements in R3

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:24.559172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 03e02227-521d-4b18-8176-e9c39d98728e · outbound

This paper cites Iterative methods for sparse linear systems.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Iterative methods for sparse linear systems

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:24.374300Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5c2aa93b-8781-4c29-83a7-45a470f43c40 · outbound

This paper cites an unresolved cited work.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:37:24.189585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 232b1661-cff3-4346-88a2-c8fe47f2c9cf · outbound

This paper cites A priori sparsity patterns for parallel sparse approximate inverse preconditioners.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations A priori sparsity patterns for parallel sparse approximate inverse preconditioners

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:24.063519Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9cff29a5-25f0-4bbb-b336-8410bb204fd8 · outbound

This paper cites A restricted additive Schwarz preconditioner for general sparse linear systems.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations A restricted additive Schwarz preconditioner for general sparse linear systems

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:23.926409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4c32fee3-f1fd-469a-b42b-97fad0cad154 · outbound

This paper cites Nodal auxiliary space preconditioning in H(curl) and H(div) spaces.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Nodal auxiliary space preconditioning in H(curl) and H(div) spaces

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:23.743606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 56d9c88e-946a-44e0-b0b1-e47673b2cf5a · outbound

This paper cites Pasciak, and Leszek F.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Pasciak, and Leszek F

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:23.637780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 89a20398-4e03-4e91-9a6a-33805a2f84c0 · outbound

This paper cites Substructuring the Hiptmair- Xu preconditioner for positive definite H(curl, Ω) problems.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Substructuring the Hiptmair- Xu preconditioner for positive definite H(curl, Ω) problems

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:23.525479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 129db6d6-bdb9-4068-bf20-7c2aa22929ec · outbound

This paper cites Bonazzoli, V.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Bonazzoli, V

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:23.423669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6439ec81-1da7-45ea-beb5-56712b0913e0 · outbound

This paper cites Parallel domain decomposition solvers for the time harmonic Maxwell equations.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Parallel domain decomposition solvers for the time harmonic Maxwell equations

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:23.294378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 56fbd27a-e220-489e-885f-17432ebdc1da · outbound

This paper cites an unresolved cited work.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:37:23.149519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6e488294-03e2-4c3a-9c6c-709a53a51287 · outbound

This paper cites Improved sweeping preconditioners for domain decom- position algorithms applied to time-harmonic Helmholtz and Maxwell problems.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Improved sweeping preconditioners for domain decom- position algorithms applied to time-harmonic Helmholtz and Maxwell problems

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:23.032056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 21c499fb-4c7d-4ec7-8c4f-960926ac484f · outbound

This paper cites A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:22.852664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f8cec4fd-69fa-4226-b646-d9fa5194433c · outbound

This paper cites Hierarchical LU preconditioning for the time-harmonic maxwell equation.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Hierarchical LU preconditioning for the time-harmonic maxwell equation

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:22.641181Z

Source-reported events for the cited work

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Observation fac2fd06-6c88-47f0-b71a-6e610907d20d · outbound

This paper cites Baratta, Joseph P.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Baratta, Joseph P

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T16:37:17.452121Z

Source-reported events for the cited work

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Observation db365424-cf13-413c-b10b-e8bca09f3419 · outbound

This paper cites Gropp, Lois Curfman McInnes, and Barry F.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Gropp, Lois Curfman McInnes, and Barry F

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:22.447575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 60b778d6-3934-4d3f-ade9-0a157c00293b · outbound

This paper cites Dalcin, Rodrigo R.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Dalcin, Rodrigo R

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:22.206671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2c6bcb07-7e47-453c-b1de-efc223100bbb · outbound

This paper cites A flexible inner-outer preconditioned GMRES algorithm.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations A flexible inner-outer preconditioned GMRES algorithm

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:22.051155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4cf0dfbe-9fac-42f5-83cd-8ca1ed1cbe23 · outbound

This paper cites an unresolved cited work.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:37:21.847421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bae438a6-b245-4d16-8191-b69451d62a6c · outbound

This paper cites hypre: High Performance Preconditioners.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations hypre: High Performance Preconditioners

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:21.657143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation db61e48d-cde6-4ff3-8635-12a3260bd40e · outbound

This paper cites Kolev and Panayot S.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Kolev and Panayot S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:21.408719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5a16e467-2991-4fec-9861-2303ffe0d6a4 · outbound

This paper cites Domain decomposition methods – algorithms and theory.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Domain decomposition methods – algorithms and theory

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:21.262537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5cd98481-33ef-4e60-9677-1e3375d17ef7 · outbound

This paper cites Large-scale 3d geoelectromagnetic modeling using parallel adaptive high-order finite element method.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Large-scale 3d geoelectromagnetic modeling using parallel adaptive high-order finite element method

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:21.037695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e7acf401-1837-4824-be16-712343ce37d8 · outbound

This paper cites Grayver and Markus B¨ urg.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Grayver and Markus B¨ urg

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:20.800879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 858fc41d-569e-4e5c-b90d-d605da45c02a · outbound

This paper cites An adaptive finite element method for the eddy current model with circuit/field couplings.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations An adaptive finite element method for the eddy current model with circuit/field couplings

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:20.621397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9a586297-58f9-4564-aee3-b1525fee3342 · outbound

This paper cites Algebraic multigrid by component splitting for edge elements on simplicial triangu- lations.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Algebraic multigrid by component splitting for edge elements on simplicial triangu- lations

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:20.462424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 32ed72f4-66a5-4162-8e7c-aa8df8c978a0 · outbound

This paper cites An adaptive multilevel method for time-harmonic Maxwell equations with singularities.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations An adaptive multilevel method for time-harmonic Maxwell equations with singularities

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:20.164923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7fb169fa-df73-4809-b07c-f44b7012bcf5 · outbound

This paper cites Theses, Universit´ e Paul Sabatier - Toulouse III, November 2017.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Theses, Universit´ e Paul Sabatier - Toulouse III, November 2017

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:19.982288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9dba75c5-4f0e-46ef-94c7-0f641bfc3f07 · outbound

This paper cites Existence of H-matrix approximants to the inverse FE-matrix of elliptic operators with L∞-coefficients.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Existence of H-matrix approximants to the inverse FE-matrix of elliptic operators with L∞-coefficients

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:19.618345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c42175f3-0060-4ec6-8e01-288ad02502f5 · outbound

This paper cites On the complex- ity of the block low-rank multifrontal factorization.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations On the complex- ity of the block low-rank multifrontal factorization

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:19.446032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 08caef1a-bf21-4d24-b0f7-85784e5cfffd · outbound

This paper cites Improving multifrontal methods by means of block low-rank representations.

High Performance Parallel Solvers for the time-harmonic Maxwell Equations Improving multifrontal methods by means of block low-rank representations

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:37:19.243116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

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