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Paper Citation Record · LEDGER

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density

As of 16 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:1908.03681.

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

pith.paper-citation-record.v1
1908.03681 v2

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:15:42.479153Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

65 of 65 outbound references displayed

  • verified exact16
  • verified fuzzy10
  • unresolved28
  • parse uncertain0
  • malformed identifier7
  • metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 84b3a301-7c55-4847-b378-3b00bcb5970b · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 1

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T14:15:43.528169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.277216Z digest=sha256:aac1cce3e23739652c0fb24ca601b74648995146bdfa9923dddf377038bf6de6

Observation c4907815-7543-4c08-9068-ea4d0daaddba · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 2

Resolution
metadata mismatch
raw_fallback, observed 2026-08-14T14:15:43.237851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.281160Z digest=sha256:3cb8b9306d9dbf8a74efa6cbbfee853d289d7d7d0465948f0a6c3fb1160a01d3

Observation 7a684f96-a206-4194-bcc2-1f0629aca170 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 3

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T14:15:43.519003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.284396Z digest=sha256:969405ec2c508578b6365834ae4118ac0ddd329daafd6f8cb088117f5a6d26ff

Observation 3ae1014c-6dbe-448c-a8b7-801a21f55f50 · outbound

This paper cites Breitenbach, I.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Breitenbach, I

Reference 4

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T14:15:43.510077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.287737Z digest=sha256:cd115034a4beeefe417455c8e0094be243d9029e2a9f66bbef9ee6b0a4f7c335

Observation 03f65872-daef-493b-8b60-d5325684effb · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:42.290638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.290638Z digest=sha256:a2678211fe05710b2b131760a17c107f8c9b8a48154a7b54f21b4b044701dba8

Observation 5846a54a-0678-4e7b-92a7-e9f7a02f7d48 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.761724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.293967Z digest=sha256:1c43eba262e2002783b0a2ce457401660e388539714dc86d18d96dcac5811246

Observation 888b9d00-66ba-4c78-9d4d-d1936b195db2 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.502119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.297337Z digest=sha256:eb1524267f8743186492f9a7a363d425d85a182ec93907320329db1136bb0b7c

Observation 2bfba455-7fe0-45b7-bd62-e0c47672fe13 · outbound

This paper cites Zhang, S.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Zhang, S

Reference 8

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.752859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.301005Z digest=sha256:de158bf040d46db2c150ae319e378f2cfd1b1277ef4e7e9a817920a7a330fe25

Observation b52f8652-166f-41e4-aa1d-74718a99035e · outbound

This paper cites Koplik, J.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Koplik, J

Reference 9

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T14:15:43.494589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.304361Z digest=sha256:7db62446becd1a694e391902d9afe26999b068f1f60b8a3d135d8547bd37da6b

Observation b423d098-ef89-4854-8095-6b6324499624 · outbound

This paper cites Koplik, J.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Koplik, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:43.485108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.307693Z digest=sha256:a6ad48e0a3ea78b3692a9be4dbd7c0f56984a849db565610864663a5682e1dfb

Observation e435295e-8c00-4db1-94cd-ef106118c8f0 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 11

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.743610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.311831Z digest=sha256:69573c429ca3908fc3fc152097951633ee9060cf8e08895cd8471f73ff122da6

Observation 505c7b61-350e-4203-8fa3-b164b9860e43 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.476623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.315584Z digest=sha256:70b366541ed79115a7b06e893e1efbd62ad29d5e162e928f147617d4735df920

Observation 36eb9bf5-96ad-4bb5-9319-ecf32fd391b2 · outbound

This paper cites Jiang, P.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Jiang, P

Reference 13

Resolution
metadata mismatch
raw_fallback, observed 2026-08-14T14:15:43.110411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.318528Z digest=sha256:6b45e75e2fb125e5ac5a41499e1539cdc050997acba1029bfd9974837d1aefce

Observation cd3ce3e3-348c-499a-ad3c-653f89fc3803 · outbound

This paper cites Qian, X.-P.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Qian, X.-P

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:42.321545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.321545Z digest=sha256:fedc0ed0a5aa187c622a8c9c7aee6818d99a69fdedce33086db801aa2a80ded1

Observation 6a795add-9dd6-4228-88d1-b1b3046620fe · outbound

This paper cites Qian, X.-P.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Qian, X.-P

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:43.469051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.325346Z digest=sha256:5babc63cc40076144277b5ff17625ef4e35cb777b5ecf9ff84f053f0f077b960

Observation e53c8830-f848-4282-9c73-dbee06e850ca · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 16

Resolution
verified exact
raw_fallback, observed 2026-08-14T14:15:43.041607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.328128Z digest=sha256:d0dc5a5dc0a10af04bf850cacfbcdf3c8672bb11bbef649cb38fa879b08b94c1

Observation c3bfac05-4d93-43eb-8a16-9222fbf92853 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:42.331030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.331030Z digest=sha256:aa292d061532652be276147fb25e7636fa11e1c4136fc3d99a2cf464cdb92a3d

Observation c1c1d88b-4ab1-4c5a-acab-47429c7f3a62 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 18

Resolution
verified exact
raw_fallback, observed 2026-08-14T14:15:42.978823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.334463Z digest=sha256:c7c0363e7c7c998661816abb1c01b4fc5ca79288649a2dc92dedb7b3006941d3

Observation ae9bf9b6-1bc5-4e5b-a947-84249f985184 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 19

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T14:15:43.460344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.336864Z digest=sha256:2d1477cbabb52eda79ccc111f6a850ec2f47a69f57f83ceada00587e70580541

Observation fa555313-5843-4b6c-93fb-33e4179199fe · outbound

This paper cites Lai, Y.-H.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Lai, Y.-H

Reference 20

Resolution
metadata mismatch
raw_fallback, observed 2026-08-14T14:15:42.926313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.340278Z digest=sha256:2528a455abd1f71fa5e616b027bd1ea0a2ffd3d1d8507089b24de2ea28174c5b

Observation 73d91753-a093-4d82-aab0-96761d28dc39 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.451251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.343087Z digest=sha256:e8acea3aeb5578ff2c9d11fe9ce8e800be0ca234624602bd00619ec5fb807051

Observation 92b04797-6747-4f18-b934-c046b0cf578e · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.442820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.345488Z digest=sha256:839cad96b172c234f42b5bb106ba91bfe649490ae3472bfe5400ec485cfe26ac

Observation 4086d226-89bc-4524-9ce2-cb563274b811 · outbound

This paper cites Huang, X.-P.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Huang, X.-P

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:43.434493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.348059Z digest=sha256:e92d23a1447261d6139a63bfa3f685e8539cc8d8484ef0fdb1894f2dd06c5ecb

Observation c0456aea-2124-4f22-9efc-0b8f53625e3d · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:42.350751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.350751Z digest=sha256:c90a43e50527657e0f6d811d559821161d47434d57af34c52f1eeca190688928

Observation 543329f6-b068-417e-a13c-560974ce50f1 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 25

Resolution
malformed identifier
raw_fallback, observed 2026-08-14T14:15:43.423632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.353448Z digest=sha256:ef830710b952fb5c45c00e29150eb25bcea2fc99ce2a420133015cd5a728408b

Observation 04ad1898-4c60-4b89-919b-51f85d42a9be · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 26

Resolution
malformed identifier
no resolver link, observed 2026-08-14T14:15:42.356211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.356211Z digest=sha256:6e6aa7989faa28674902ece6ca30a9353bbb4f036eeddfb1ed0cb83e3451277b

Observation 7c7f0e83-5edf-479a-9744-106fe53b1ec1 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:42.359550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.359550Z digest=sha256:f2ac8497078cbc6d352b6684a1f91a3255c9cccd128b6a28f16b77aba53d611b

Observation b1737064-4d5c-4895-95d1-7b8242a37ba6 · outbound

This paper cites Jacqmin, Calculation of two-phase navier-stokes flows using phase-field modeling, Journal of Computational Physics 155 (1) (1999) 96–127.doi:10.1006/jcph.1999.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Jacqmin, Calculation of two-phase navier-stokes flows using phase-field modeling, Journal of Computational Physics 155 (1) (1999) 96–127.doi:10.1006/jcph.1999

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:42.362496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.362496Z digest=sha256:8b368994e5dbd0730985342a4030d9f84ddb372f52743ada76a7dae91e2cbb8a

Observation 745445ba-9a8e-46f2-a41d-1ad969bca025 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.412084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.365068Z digest=sha256:ce6dc35e57f1c3a3f73117f540519766ca1350434630a2d64b7cc448efac4088

Observation cac23c83-8454-4ec9-a0dd-7c66c29a869c · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.404385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.367939Z digest=sha256:017aeeb08d0ac04b89584a29bc11337b95ab67109b9c4dbfaf10bffb9d84fdcc

Observation 6938f112-5e37-42ce-9f41-72ce2d20cec1 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:42.372391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.372391Z digest=sha256:1359193f4f412b74c0fb13f77cd648245b864cd6bf77716970b3ea5133d1fb6d

Observation f89bb2fd-20ea-4aac-8c6c-6463fd332233 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 32

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.698470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.376062Z digest=sha256:1a8db944d41a2196dee15160bc17ae3c43afc6bbad607d9a860672748f97b869

Observation 33012f7a-01d7-48b6-add5-b3b60858f23d · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.396230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.378833Z digest=sha256:b1efb2deaa5d8b038120a0eb4e08abdeedf8726143f3053eb582550745e1513b

Observation f092705b-0dbb-40a3-bc89-66cf05f0286f · outbound

This paper cites Lowengrub, L.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Lowengrub, L

Reference 34

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.689244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.382086Z digest=sha256:2bcb25ad3c2400f6001408c13428ba6681c521abef240c04c99f455fa2e5db61

Observation 968c1c20-5be7-4845-9014-cd5e8376e81b · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 35

Resolution
metadata mismatch
raw_fallback, observed 2026-08-14T14:15:42.870801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.385753Z digest=sha256:912cd4ca69d4c5e60da244d14b56e8b613dffe8a65981ed0048ed1c6803d7132

Observation 6933e60b-f2f0-42ff-a503-dcf8db125437 · outbound

This paper cites Thermodynamically Consistent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Thermodynamically Consistent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:15:42.779466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.388631Z digest=sha256:f2bded27b480ffb4506fd08c505034fa4cde4111036724ad08c5544927402057

Observation cc9b6db1-9898-448c-81b3-a2320f21fd12 · outbound

This paper cites Boyer, Nonhomogeneous Cahn–Hilliard fluids, Annales de l’Institut Henri Poincare (C) Non Linear Analysis 18 (2) (2001) 225–259.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Boyer, Nonhomogeneous Cahn–Hilliard fluids, Annales de l’Institut Henri Poincare (C) Non Linear Analysis 18 (2) (2001) 225–259

Reference 37

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.681263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.392219Z digest=sha256:147f70dbdc14d79382e73666fd83a998f8690f595a1ae876dfdc3d64e9a694cd

Observation 8474065e-3252-462a-ba42-94d34dc1b6ad · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:42.396321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.396321Z digest=sha256:bbcf647cfea72b092215799196c73122705c8fe8b2f3f4a50e378896212e104f

Observation 2315905e-4ed2-46ee-a997-00baa0682957 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 39

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.667493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.399164Z digest=sha256:362f9a74316173695a33f9fe486021496d4297616bd5e5de260fdf08fc1f4908

Observation 46dfdc60-77ff-4a77-8193-daa650cbf00f · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 40

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.658481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.402587Z digest=sha256:5492c9ea02492ac8b8e0abf9df199c164143c413ae1c5eacf4af95b4d4cc4e6f

Observation 28a3b740-163a-4ba9-bbed-b3f6be7a7097 · outbound

This paper cites Abels, H.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Abels, H

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:42.405273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.405273Z digest=sha256:c8c4c684152c0701f1021418a579b1aea2256a43800f8c41194aa0704c4cb972

Observation fae46177-c7d4-4158-b7a4-4d8074b31f26 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 42

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.643531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.408548Z digest=sha256:f9fed94dad54b5f7902f253cec0df940dc4313a9bc56139831480ec8ca851fe7

Observation 1c44c9e4-fc8c-4a5b-b3e8-8a4f413cedea · outbound

This paper cites Eisenberg, Y.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Eisenberg, Y

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:43.386349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.412904Z digest=sha256:705ddd79de4dc07775de53086f2f17617d449b6710c1996a0b9200e4fd3274a8

Observation a04edb36-887b-4b2c-a55b-aa5ed9158727 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.377229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.417207Z digest=sha256:bd0155f61439c5a6cb6e2d649d4ef99bbd5999bc115d5c479de0c37fc281fe33

Observation 78fe3856-5ab5-49b9-9c87-57242b136386 · outbound

This paper cites Osmosis through a Semi-permeable Membrane: a Consistent Approach to Interactions.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Osmosis through a Semi-permeable Membrane: a Consistent Approach to Interactions

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:42.420291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.420291Z digest=sha256:68928eaf8015e48f9c73e6e5b9c80e9d936aa366402274d0072b83495ee2a815

Observation f0d7969f-aec8-46e2-bcbb-f56fba80640e · outbound

This paper cites Gao, X.-P.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Gao, X.-P

Reference 46

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.633680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.423700Z digest=sha256:18521162121763ac31db2e75f8ba474816517d96f0fa2b2437122139cefb66c3

Observation 07e488b5-faeb-4bdd-86f0-132918092096 · outbound

This paper cites Gao, X.-P.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Gao, X.-P

Reference 47

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.527775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.427210Z digest=sha256:4a8f5e1c816dc742396395474ac4be1a62703823d7bccfa648da4a16a5d839b6

Observation dc56c2af-b928-4a30-8213-12f91073f33c · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.367608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.431615Z digest=sha256:9e4980ed7a9556129bd8cabeae2a259446bf1b68daa0ea8b5bf96b0214a9493d

Observation ddb3eff5-5067-484a-b8c2-30253d5da809 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 49

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.519151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.434617Z digest=sha256:f0a233744797d1860d5e4901e2b8c7fb36b78735c95375709dc987bcb3d9ea7c

Observation 6802e019-3098-4d2d-868e-193037ce3362 · outbound

This paper cites Luo, X.-P.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Luo, X.-P

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:43.358346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.437662Z digest=sha256:45af61c18a537fca2518f62ce75144224c37fb47677472d69daa0869217111ab

Observation 391ec21a-de77-492c-923a-8b8b49338ea6 · outbound

This paper cites Zhang, T.-Z.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Zhang, T.-Z

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:43.350600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.440345Z digest=sha256:e575760941f739c65e3dffdec8b54303efea0043269fcc7b8537af7d0c744d28

Observation e3df1dd9-f486-4416-822a-451e2d192c7a · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-14T14:15:42.443335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:15:42.443335Z digest=sha256:3a870226887b96cb97bdd0241007333fe44d31615d9156076a6e334b97584392

Observation fe5bf4c5-8050-40f3-b382-6d3aff6eb3b8 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.343288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.445911Z digest=sha256:55908b0caeb7df4722d406251b623bb15a5641c23b6d99f597d9db3939a4b9b5

Observation 079a0299-017f-4a9c-902d-558ae4a8aadf · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.336208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.451068Z digest=sha256:0b990208a5dd77986ba358a211991e1043b9a80eace39ad4c57df0f50b7ee26d

Observation 8f916d5c-2a06-4800-84d0-fb19b94bdafe · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.326048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.453362Z digest=sha256:1914758a18d05bc1a847b1c423b6ee4ebf00ef2cfe718aa25fb98b47fcf96130

Observation 6b756878-4241-4085-b67b-4b6285e46c46 · outbound

This paper cites Brezzi, J.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Brezzi, J

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:43.316942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.456409Z digest=sha256:10229a026b5b892c5f5a71550138860ce7df0e7d11dc4acc19604d1029f7113b

Observation 1e34c491-555c-4ea9-ac08-72d2d2769aa5 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.309072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.459201Z digest=sha256:4d03be440ea8512ec6cc4285cb2647191d220dd70dde1ab340ba3edaaaf5f934

Observation 3c185747-4c95-40a3-9004-59be5eaaa2b3 · outbound

This paper cites Shen, On pressure stabilization method and projection method for unsteady navier- stokes equations (1992).

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Shen, On pressure stabilization method and projection method for unsteady navier- stokes equations (1992)

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:43.300219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.461636Z digest=sha256:ebdf9d478a894e54ff46f1c0cb074b803232f8b4f2a0245e98b34bdf27d1c7e5

Observation 30d15acf-8dce-48a8-aa00-19a37c692061 · outbound

This paper cites Lin, A sequential regularization method for time-dependent incompressible navier– stokes equations, SIAM Journal on Numerical Analysis 34 (3) (1997) 1051–1071.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Lin, A sequential regularization method for time-dependent incompressible navier– stokes equations, SIAM Journal on Numerical Analysis 34 (3) (1997) 1051–1071

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:43.292052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.464426Z digest=sha256:2a403d70626971eaf85caf2b5ae0df6df70f262e802ccff392de6148952aa390

Observation 316d5297-6237-439b-b8ae-7d3cefb23729 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.283985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.467099Z digest=sha256:06fe4c6cc2953e05b0b069fcbd87555930b8ab713b8d08e99a2e841ebfcdbd33

Observation d91bfaed-918c-4a87-be75-cce6355bc27f · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.274536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.470036Z digest=sha256:fa14493d8840d6da0b07fd210cdea88c13df2b54614020340d897f7234a73edc

Observation d67a96c4-bb28-4f27-ac96-1c74240a0f38 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.265056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.472809Z digest=sha256:e123d67eabd0215bb0466c6de8d804f99f85a36623f9c371d7470bae495eda85

Observation e2db7408-b910-4780-bea7-67e977152f27 · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:15:43.255876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.476028Z digest=sha256:a79f15737b06e0362e4d7e8d0ed4245d5a60d8963eca74bd03739153825fa83a

Observation 46b05e3f-a6aa-4808-bb8c-2e03fbad5d64 · outbound

This paper cites Hecht, New development in freefem++, J.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Hecht, New development in freefem++, J

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:15:43.246723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.479153Z digest=sha256:4a475e2c64c99049accd0493205cbe708dc284260a5a98646e90662cdef68cc9

Observation c8e1f330-eda6-4c4e-925e-dde18988140d · outbound

This paper cites an unresolved cited work.

An energy stable $C^0$ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density Unresolved cited work

Reference 296

Resolution
verified exact
doi, observed 2026-08-14T14:15:42.503912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:15:42.448376Z digest=sha256:8da5613b054767d16cb9a6bfe4ede9d4aec68d30bed426859b919ab0322576c9

Pith citing papers

No inbound Pith citation observations are available.