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Paper Citation Record · LEDGER

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach

As of 13 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2607.25142.

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

pith.paper-citation-record.v1
2607.25142 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T00:17:28.414314Z

measured 43 of 43 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

43 of 43 outbound references displayed

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  • verified fuzzy0
  • unresolved43
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation abef6bf6-4a6a-411b-b931-849c2c719d4c · outbound

This paper cites Theoretical and Applied Fracture Mechanics, 2023/06/01.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Theoretical and Applied Fracture Mechanics, 2023/06/01

Reference 1

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Observation fbc574b8-e790-4b13-a193-0b463b54b32a · outbound

This paper cites Guo, and Z.X.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Guo, and Z.X

Reference 2

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Observation f88c50d0-f3eb-43f3-9a8d-3ee8ad78309a · outbound

This paper cites Frontiers of Structural and Civil Engineering 2018 13:2, 2018-06-04.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Frontiers of Structural and Civil Engineering 2018 13:2, 2018-06-04

Reference 3

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Observation b168894f-623b-409e-b649-9ea3bfa52145 · outbound

This paper cites Engineering with Computers 2023 39:4, 2023-06-14.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Engineering with Computers 2023 39:4, 2023-06-14

Reference 4

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Observation 3d701978-35ba-4079-9149-8645c94ad8bc · outbound

This paper cites an unresolved cited work.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 5

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Observation 4b3da0ea-90eb-4e3e-b163-de3a3cdb33d9 · outbound

This paper cites an unresolved cited work.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 6

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Observation 2e3d8031-d519-48bc-987f-2ff6a141dc75 · outbound

This paper cites and L.-Q.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach and L.-Q

Reference 7

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Observation 05b54e5c-41eb-40e5-acaf-f564be9ea9c2 · outbound

This paper cites Liu, and J.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Liu, and J

Reference 8

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Observation 9ddc51fb-587f-4a8d-aad7-7a0ec0228aca · outbound

This paper cites an unresolved cited work.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 9

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Observation 7aa2a79a-8ea6-4322-8896-ed1c4c011f40 · outbound

This paper cites The International Journal of High Performance Computing Applications, 2021-11.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach The International Journal of High Performance Computing Applications, 2021-11

Reference 10

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Observation 043b58a5-c27a-4f62-a524-7e3bd571b165 · outbound

This paper cites an unresolved cited work.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 11

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Observation 49440772-ddda-468a-9a65-245e6420b4dc · outbound

This paper cites an unresolved cited work.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 12

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Observation 226b741b-737c-4918-9308-3eeb9305aa1e · outbound

This paper cites SoftwareX, 2020/01/01.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach SoftwareX, 2020/01/01

Reference 13

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Observation 4b971a21-c05a-4609-a7e5-68decb32e8ed · outbound

This paper cites an unresolved cited work.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 14

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Observation 99cdc164-23c5-4805-9e6c-7722f1f03f74 · outbound

This paper cites Agrawal, and M.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Agrawal, and M

Reference 15

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Observation f7cc728d-4b1e-445d-ae16-a2192ae0df9a · outbound

This paper cites npj Computational Materials 2020 6:1, 2020-03-26.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach npj Computational Materials 2020 6:1, 2020-03-26

Reference 16

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Observation 8fbecba4-2b4c-46c7-b56f-3f1f61bebe9a · outbound

This paper cites Materials Theory 2021 6:1, 2022-01-06.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Materials Theory 2021 6:1, 2022-01-06

Reference 17

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Observation 70bf7b11-88c0-48bd-924c-a1c40fb2eb0b · outbound

This paper cites Journal of Computational Physics, 2021/02/15.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Journal of Computational Physics, 2021/02/15

Reference 18

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Observation 53a1ab92-44f9-461f-b129-cda5693997b6 · outbound

This paper cites Computational Mechanics 2025, 2025-12-19.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Computational Mechanics 2025, 2025-12-19

Reference 19

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Observation 5d694d55-a316-4b5b-a808-55b33e29fa63 · outbound

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An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 20

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Observation 5377ec8b-d14e-4e35-9e36-838c84a4fc5e · outbound

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An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 21

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An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 22

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An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 23

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An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 24

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Observation 2c54db2c-275f-4bc8-ba6a-8741d4dad0c4 · outbound

This paper cites an unresolved cited work.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 25

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Observation 3ccb0971-f4aa-4dc6-8555-6cd6c05cea35 · outbound

This paper cites an unresolved cited work.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 26

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This paper cites Journal of Computational Physics, 2013/09/01.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Journal of Computational Physics, 2013/09/01

Reference 27

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Observation 3525e0f8-bb19-467e-91d1-85c336e268a2 · outbound

This paper cites an unresolved cited work.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 28

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Observation b55239cf-0297-4a73-92d3-44856b391450 · outbound

This paper cites SIAM Journal on Numerical Analysis, 2006-07-25.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach SIAM Journal on Numerical Analysis, 2006-07-25

Reference 29

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Observation d98a6eaa-d2f2-43d7-9111-205d7fb9a8cf · outbound

This paper cites Annual Review of Materials Research, 2002.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Annual Review of Materials Research, 2002

Reference 30

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Observation 8d98c9e8-0129-4501-8e6a-a3fb25b883b7 · outbound

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An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Materials & Design, 2016/10/05

Reference 31

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Observation 5a541455-dbd9-4cbd-be0c-ded13d00197a · outbound

This paper cites Journal of Membrane Science, 2015/06/01.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Journal of Membrane Science, 2015/06/01

Reference 32

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Observation b7003f41-36c6-420b-b70e-d65ad53ab74d · outbound

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An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Construction and Building Materials, 2019/04/20

Reference 33

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An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Rätz, and A

Reference 34

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An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Ågren, and M

Reference 35

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This paper cites npj Computational Materials 2021 7:1, 2021-04-28.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach npj Computational Materials 2021 7:1, 2021-04-28

Reference 36

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Observation d29631ff-73da-47f9-a90a-13c866593709 · outbound

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An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Acta Materialia, 1998/12/11

Reference 37

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Observation bef1b8c2-d2d3-44a1-a7dc-9d1b9df0ac82 · outbound

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An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Unresolved cited work

Reference 38

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Observation 3a8b7de1-aba2-4597-a767-94f4347c45a8 · outbound

This paper cites Liu, M.B.L., Smoothed Particle Hydrodynamics.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Liu, M.B.L., Smoothed Particle Hydrodynamics

Reference 39

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This paper cites and Maruszewski JP, Implicit solution of the Navier -Stokes equations on unstructured meshes | Fluid Dynamics and Co-located Conferences.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach and Maruszewski JP, Implicit solution of the Navier -Stokes equations on unstructured meshes | Fluid Dynamics and Co-located Conferences

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This paper cites 2017: Springer Cham.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach 2017: Springer Cham

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This paper cites An Efficient Finite Difference-based Implicit Solver for Phase-Field Equations with Spatially and Temporally Varying Parameters.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach An Efficient Finite Difference-based Implicit Solver for Phase-Field Equations with Spatially and Temporally Varying Parameters

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This paper cites Elliott, and A.

An adaptive phase field framework for large-scale interface evolution problems using a strong-form gradient smoothing approach Elliott, and A

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