Paper Citation Record · LEDGER

Tensor-product vertex patch smoothers for biharmonic problems

As of 14 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2412.05082.

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

pith.paper-citation-record.v1
2412.05082 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:03:46.417446Z

measured 28 of 28 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

28 of 28 outbound references displayed

verified exact2
verified fuzzy21
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 71a3b4ae-ae2a-4ad9-8a17-9d7364cfac6d · outbound

This paper cites The deal.II L ibrary, V ersion 9.5.

Tensor-product vertex patch smoothers for biharmonic problems The deal.II L ibrary, V ersion 9.5

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.843765Z

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 a55fb7d9-b5e0-4123-baee-8f32041a0465 · outbound

This paper cites Arnold, Richard S.

Tensor-product vertex patch smoothers for biharmonic problems Arnold, Richard S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.832862Z

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 5f8e6fdd-ebd7-4510-a00d-1e0016d7af72 · outbound

This paper cites an unresolved cited work.

Tensor-product vertex patch smoothers for biharmonic problems Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:03:46.822805Z

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 0b0cda90-e8f8-43ad-84d8-169669a91f73 · outbound

This paper cites Brubeck and Patrick E.

Tensor-product vertex patch smoothers for biharmonic problems Brubeck and Patrick E

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.813529Z

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 805f9d34-41cf-4230-b7cb-720aeee24640 · outbound

This paper cites an unresolved cited work.

Tensor-product vertex patch smoothers for biharmonic problems Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:03:46.803813Z

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 df02228d-6605-44ad-9aac-7a5d11b27bf9 · outbound

This paper cites Brenner and Li-Yeng Sung.

Tensor-product vertex patch smoothers for biharmonic problems Brenner and Li-Yeng Sung

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.792673Z

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 673bcf57-a282-4cab-83c7-67b095ad7d60 · outbound

This paper cites Brenner and Kening Wang.

Tensor-product vertex patch smoothers for biharmonic problems Brenner and Kening Wang

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.782019Z

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 23702500-8f60-4331-8aff-10927ca396da · outbound

This paper cites Brenner and Jie Zhao.

Tensor-product vertex patch smoothers for biharmonic problems Brenner and Jie Zhao

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.771381Z

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 ded2eb78-6ee0-41cc-aaa8-4e35543dbc41 · outbound

This paper cites An implementation of tensor product patch smoothers on gpus.

Tensor-product vertex patch smoothers for biharmonic problems An implementation of tensor product patch smoothers on gpus

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.761402Z

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 9e50efa0-986f-43ba-ad02-684486395ab4 · outbound

This paper cites Multigrid methods for the Stokes problem on GPU systems.

Tensor-product vertex patch smoothers for biharmonic problems Multigrid methods for the Stokes problem on GPU systems

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:03:46.570510Z

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 24fb5066-6587-4703-b12e-eee777e81e95 · outbound

This paper cites Multilevel interior penalty methods on GPU s.

Tensor-product vertex patch smoothers for biharmonic problems Multilevel interior penalty methods on GPU s

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-11T21:03:46.555430Z

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 7c65434a-d118-4479-b29c-375d75235121 · outbound

This paper cites an unresolved cited work.

Tensor-product vertex patch smoothers for biharmonic problems Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:03:46.752421Z

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 6968a333-331e-4ac8-aaf5-5d8394cf221d · outbound

This paper cites Acceleration of T ensor- P roduct O perations with T ensor C ores.

Tensor-product vertex patch smoothers for biharmonic problems Acceleration of T ensor- P roduct O perations with T ensor C ores

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.742950Z

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 8e1dbd36-259e-4074-a610-c7206140c509 · outbound

This paper cites Karakashian.

Tensor-product vertex patch smoothers for biharmonic problems Karakashian

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.731606Z

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 860cb3bb-03b1-45d1-aa78-25bdeccedf8e · outbound

This paper cites Performance and accuracy of hardware-oriented native-, emulated-and mixed-precision solvers in FEM simulations.

Tensor-product vertex patch smoothers for biharmonic problems Performance and accuracy of hardware-oriented native-, emulated-and mixed-precision solvers in FEM simulations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.720231Z

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 2c2d4565-667e-4642-9674-85d7835bef13 · outbound

This paper cites Kronbichler and K.

Tensor-product vertex patch smoothers for biharmonic problems Kronbichler and K

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.709306Z

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 744670ca-bbcf-4c01-865b-db5679c6867c · outbound

This paper cites Fast matrix-free evaluation of discontinuous G alerkin finite element operators.

Tensor-product vertex patch smoothers for biharmonic problems Fast matrix-free evaluation of discontinuous G alerkin finite element operators

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.699038Z

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 8ea08618-858c-4801-a0f1-bb6631365be3 · outbound

This paper cites Kanschat, R.

Tensor-product vertex patch smoothers for biharmonic problems Kanschat, R

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.688671Z

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 6728b78a-2488-4aef-b6b1-a8391cf8b89c · outbound

This paper cites Kanschat and Y.

Tensor-product vertex patch smoothers for biharmonic problems Kanschat and Y

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.679316Z

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 62096e0d-8ef4-4590-aeca-487a2b79b276 · outbound

This paper cites Divergence-conforming discontinuous G alerkin methods and C^0 interior penalty methods.

Tensor-product vertex patch smoothers for biharmonic problems Divergence-conforming discontinuous G alerkin methods and C^0 interior penalty methods

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.669814Z

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 75058fed-7309-4dae-be45-0960bfb12c58 · outbound

This paper cites Lynch, John R.

Tensor-product vertex patch smoothers for biharmonic problems Lynch, John R

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.659284Z

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 6f68dc1f-e8a9-4fa7-a79b-2192edbd6661 · outbound

This paper cites Melenk, K.

Tensor-product vertex patch smoothers for biharmonic problems Melenk, K

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.648788Z

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 0cefbdbf-eb29-476a-9c17-923156d735c6 · outbound

This paper cites \"U ber ein V ariationsprinzip zur L ösung von D irichlet- P roblemen bei V erwendung von T eilräumen, die keinen R andbedingungen unterworfen sind.

Tensor-product vertex patch smoothers for biharmonic problems \"U ber ein V ariationsprinzip zur L ösung von D irichlet- P roblemen bei V erwendung von T eilräumen, die keinen R andbedingungen unterworfen sind

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.637454Z

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 7c2b9d91-2ffe-4a6b-b827-52ca2a1b9916 · outbound

This paper cites N sight C ompute, 2023.

Tensor-product vertex patch smoothers for biharmonic problems N sight C ompute, 2023

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.626424Z

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 f08df84c-3912-44ce-8612-d0b666a7ecd2 · outbound

This paper cites Fast tensor product schwarz smoothers for high-order discontinuous galerkin methods.

Tensor-product vertex patch smoothers for biharmonic problems Fast tensor product schwarz smoothers for high-order discontinuous galerkin methods

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.615252Z

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 2c109ae9-6b01-435e-94eb-129157811aa8 · outbound

This paper cites an unresolved cited work.

Tensor-product vertex patch smoothers for biharmonic problems Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:03:46.603007Z

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 2471711b-e1ac-4985-b3e9-a66e4401d596 · outbound

This paper cites An optimal order multigrid method for biharmonic, C^1 finite element equations.

Tensor-product vertex patch smoothers for biharmonic problems An optimal order multigrid method for biharmonic, C^1 finite element equations

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:03:46.591852Z

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 650adc07-04fb-4c87-aa74-672a924c7e4c · outbound

This paper cites an unresolved cited work.

Tensor-product vertex patch smoothers for biharmonic problems Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:03:46.581463Z

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.