Paper Citation Record · LEDGER

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems

As of 22 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.04652.

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

pith.paper-citation-record.v1
1908.04652 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:43:43.986946Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

27 of 27 outbound references displayed

verified exact2
verified fuzzy22
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a2c90eee-e084-435b-84a3-aa0b29095765 · outbound

This paper cites Brandt, Multi-level adaptive solutions to boundary- value problems.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Brandt, Multi-level adaptive solutions to boundary- value problems

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.405277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a2d9a68f-05ad-417e-8e12-f3bc2ba9faee · outbound

This paper cites Chen, D.F.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Chen, D.F

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.391603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5cc596c9-234e-4f6f-8262-e4214f524ce1 · outbound

This paper cites Chen, iFEM: An Integrated Finite Element Methods Pack age in MATLAB.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Chen, iFEM: An Integrated Finite Element Methods Pack age in MATLAB

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.378046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 63f34fbd-65d7-465d-8727-22cab818a677 · outbound

This paper cites Chen, X.L.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Chen, X.L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.363532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f19ee6ad-1296-4bad-a92b-85036f2e94db · outbound

This paper cites Ciarlet, The Finite Element Method for Elliptic Pro blems.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Ciarlet, The Finite Element Method for Elliptic Pro blems

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.349733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cbaceab2-152b-4d6d-bd76-ce14d98b86f4 · outbound

This paper cites Deuﬂhard, Newton Methods for Nonlinear Problems: Aﬃn e Invariance and Adaptive Algorithms.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Deuﬂhard, Newton Methods for Nonlinear Problems: Aﬃn e Invariance and Adaptive Algorithms

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.335304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7a5b4058-c841-4a1d-8d75-e6c995e712d0 · outbound

This paper cites Fazel, T.K.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Fazel, T.K

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.321166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2d05af0d-f04a-4c28-b497-1a0e2c2d1f15 · outbound

This paper cites Fortin and R.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Fortin and R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.307107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 463fdc27-bea2-444d-a177-5cfc0851d967 · outbound

This paper cites Gabay and B.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Gabay and B

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.293281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 806052d6-f96d-418a-8e53-4838bcd2cf6c · outbound

This paper cites Glowinski, Lectures on numerical methods for nonlin ear variational problems.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Glowinski, Lectures on numerical methods for nonlin ear variational problems

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.279928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1089509a-9620-4dee-9a06-96c21a282196 · outbound

This paper cites Glowinski and A.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Glowinski and A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.266458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 13a984d4-91bd-4c63-9092-f08aee419069 · outbound

This paper cites Hackbusch, Multi-Grid Methods and Applications.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Hackbusch, Multi-Grid Methods and Applications

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.252483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 387b6b6f-5e5f-42c1-b798-c400a36538bd · outbound

This paper cites Hackbusch, On the multi-grid method applied to diﬀer ence equations.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Hackbusch, On the multi-grid method applied to diﬀer ence equations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.238732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d0277689-7334-4479-865d-3b53e394443e · outbound

This paper cites Han, D.F.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Han, D.F

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.225418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ff319d99-7ee8-45ef-9ad3-fc2c9d14ffc3 · outbound

This paper cites Hinze and C.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Hinze and C

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.211482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6a303a3b-f0d5-446c-bb94-e020d36a8acb · outbound

This paper cites Hinze, R.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Hinze, R

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.197524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f865dc3f-1ac7-43a1-9953-f6834be95a83 · outbound

This paper cites Hinze and M.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Hinze and M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.183595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 89c6c809-040f-4e7c-9b00-7edf2ed50392 · outbound

This paper cites Kinderlehrer and G.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Kinderlehrer and G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.169419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 74876107-8bd3-4809-9307-3818efef5797 · outbound

This paper cites an unresolved cited work.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:43:44.155612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3e62c3fd-ff77-4188-a33d-3eed25b3c8bd · outbound

This paper cites QSDPNAL: A two-phase augmented Lagrangian method for convex quadratic semidefinite programming.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems QSDPNAL: A two-phase augmented Lagrangian method for convex quadratic semidefinite programming

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:43:44.051876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 47151be4-7602-4a35-94c9-352b04850420 · outbound

This paper cites an unresolved cited work.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:43:44.142003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 54e2bb5c-bce1-4a08-ab2d-875c86ea3ce9 · outbound

This paper cites Song, Some alternating direction iteration metho ds for solving PDE-constrained optimization problems.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Song, Some alternating direction iteration metho ds for solving PDE-constrained optimization problems

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.127949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5d32f297-096e-4e9e-99e2-6c004c93992a · outbound

This paper cites Song and B.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Song and B

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.113000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation df4a5e5f-a744-48c7-87ed-ddafd588c30c · outbound

This paper cites an unresolved cited work.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:43:44.096844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 50d484c5-dc79-40e0-8610-198804571858 · outbound

This paper cites Sun, K.C.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Sun, K.C

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.081987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 206b2c1e-8fc7-47ba-adf1-80195dedf94e · outbound

This paper cites A Fast Globally Linearly Convergent Algorithm for the Computation of Wasserstein Barycenters.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems A Fast Globally Linearly Convergent Algorithm for the Computation of Wasserstein Barycenters

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:43:44.029132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0ce065dd-1208-417a-a277-0b1fed8f963b · outbound

This paper cites Zhang, J.S.

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems Zhang, J.S

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:43:44.066947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.