Paper Citation Record · LEDGER

E3C for Computational Homogenization in Nonlinear Mechanics

As of 21 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2501.13631.

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

pith.paper-citation-record.v1
2501.13631 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:51:09.581618Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:45:54.900169Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T18:16:14.067578Z

Reference resolution

26 of 26 outbound references displayed

verified exact1
verified fuzzy23
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 20453cc3-32e3-4785-bdeb-7f8c0224db56 · outbound

This paper cites , " * write output.state after.block = add.period write newline.

E3C for Computational Homogenization in Nonlinear Mechanics , " * write output.state after.block = add.period write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T15:51:09.471256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 525fcfff-0643-4ea7-b3bf-071938cad8e5 · outbound

This paper cites write newline.

E3C for Computational Homogenization in Nonlinear Mechanics write newline

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T15:51:09.476873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cefed1f4-5c9a-4861-b36d-c9d277b25ca1 · outbound

This paper cites C., Patera, A.

E3C for Computational Homogenization in Nonlinear Mechanics C., Patera, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.951047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1a4ddbc9-7fe5-43fe-9d99-3f6b8c8db88c · outbound

This paper cites Reduced-order modelling and homogenisation in magneto-mechanics: A numerical comparison of established hyper-reduction methods.

E3C for Computational Homogenization in Nonlinear Mechanics Reduced-order modelling and homogenisation in magneto-mechanics: A numerical comparison of established hyper-reduction methods

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.937852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 23de622d-9c46-421f-86d4-e0f5adec2a3c · outbound

This paper cites Efficient non-linear model reduction via a least-squares P etrov-- G alerkin projection and compressive tensor approximations.

E3C for Computational Homogenization in Nonlinear Mechanics Efficient non-linear model reduction via a least-squares P etrov-- G alerkin projection and compressive tensor approximations

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.924159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1905c279-f414-4b46-a776-e34a93fb689b · outbound

This paper cites C., 2009.

E3C for Computational Homogenization in Nonlinear Mechanics C., 2009

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.910148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 828c44e0-7df4-48e3-a412-71a257d16bc8 · outbound

This paper cites How to generate equidistributed points on the surface of a sphere.

E3C for Computational Homogenization in Nonlinear Mechanics How to generate equidistributed points on the surface of a sphere

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.895790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eb81e950-bb4a-419b-9d1e-694484e13911 · outbound

This paper cites M., 1964.

E3C for Computational Homogenization in Nonlinear Mechanics M., 1964

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.881981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b9163f07-faf6-4f9e-b59c-3b40dfdba145 · outbound

This paper cites A multiscale method for periodic structures using domain decomposition and E C M -hyperreduction.

E3C for Computational Homogenization in Nonlinear Mechanics A multiscale method for periodic structures using domain decomposition and E C M -hyperreduction

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.868455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2ad9d367-050d-437a-ac10-c3f362a96027 · outbound

This paper cites E., Caicedo, M., Cante, J., 2014.

E3C for Computational Homogenization in Nonlinear Mechanics E., Caicedo, M., Cante, J., 2014

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.854538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b87c17b1-f5dd-488e-961b-724c09a13f74 · outbound

This paper cites A., Caicedo, M.

E3C for Computational Homogenization in Nonlinear Mechanics A., Caicedo, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.840309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9776034f-f6ff-49f6-801d-d9261cbe476c · outbound

This paper cites An approach to micro-macro modeling of heterogeneous materials.

E3C for Computational Homogenization in Nonlinear Mechanics An approach to micro-macro modeling of heterogeneous materials

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.826734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b80c4561-6a75-4fb2-86e0-fe4d15984c7b · outbound

This paper cites A monolithic hyper rom fe2 method with clustered training at finite deformations.

E3C for Computational Homogenization in Nonlinear Mechanics A monolithic hyper rom fe2 method with clustered training at finite deformations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.812260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1f0f5f7b-d780-4cc4-b349-bb16c8fef569 · outbound

This paper cites K., 2016.

E3C for Computational Homogenization in Nonlinear Mechanics K., 2016

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.797068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5f7981e6-9216-40b3-af4f-38c687892b68 · outbound

This paper cites Some methods for classification and analysis of multivariate observations.

E3C for Computational Homogenization in Nonlinear Mechanics Some methods for classification and analysis of multivariate observations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.782790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5153e9ba-8b47-4cc0-834a-a11c64b5bdcf · outbound

This paper cites Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline materials.

E3C for Computational Homogenization in Nonlinear Mechanics Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline materials

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.769279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f78097b6-95f5-4300-802a-cb62562e4e7b · outbound

This paper cites Stationary variational estimates for the effective response and field fluctuations in nonlinear composites.

E3C for Computational Homogenization in Nonlinear Mechanics Stationary variational estimates for the effective response and field fluctuations in nonlinear composites

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.755991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6913c813-9c77-475b-9ef5-bec091c15137 · outbound

This paper cites R., 1943.

E3C for Computational Homogenization in Nonlinear Mechanics R., 1943

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.742190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8364bf9b-5ad1-40c2-8a54-14419a8173e5 · outbound

This paper cites Hyper-reduction of mechanical models involving internal variables.

E3C for Computational Homogenization in Nonlinear Mechanics Hyper-reduction of mechanical models involving internal variables

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.727587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 96951b40-8c15-4415-ba00-44fa4168f453 · outbound

This paper cites Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling.

E3C for Computational Homogenization in Nonlinear Mechanics Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.713250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a493b4cb-0a89-4a09-a9eb-8dfe47389011 · outbound

This paper cites L., 2018.

E3C for Computational Homogenization in Nonlinear Mechanics L., 2018

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.697263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1bb7e60d-f064-4f93-a50e-50db4bdcd110 · outbound

This paper cites A., Remmers, J.

E3C for Computational Homogenization in Nonlinear Mechanics A., Remmers, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.681672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fd1ea800-25cb-4d46-9f35-cb75811a7779 · outbound

This paper cites Empirically corrected cluster cubature (e3c).

E3C for Computational Homogenization in Nonlinear Mechanics Empirically corrected cluster cubature (e3c)

Reference 23

Resolution: verified exact; doi, observed 2026-08-10T15:51:09.622491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 20032025-b5a2-4f63-b2f8-85fefe156f27 · outbound

This paper cites Statistically compatible hyper-reduction for computational homogenization.

E3C for Computational Homogenization in Nonlinear Mechanics Statistically compatible hyper-reduction for computational homogenization

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.667289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation defd6d4b-98fc-459d-bc5c-1ef77b7dc8e0 · outbound

This paper cites Model order reduction of nonlinear homogenization problems using a hashin--shtrikman type finite element method.

E3C for Computational Homogenization in Nonlinear Mechanics Model order reduction of nonlinear homogenization problems using a hashin--shtrikman type finite element method

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.652627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0eb3738d-9be7-4692-924b-d6e93775e2e9 · outbound

This paper cites The reduced model multiscale method ( R3M ) for the non-linear homogenization of hyperelastic media at finite strains.

E3C for Computational Homogenization in Nonlinear Mechanics The reduced model multiscale method ( R3M ) for the non-linear homogenization of hyperelastic media at finite strains

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:51:09.637635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 63c57174-7b4a-4f56-9647-8eec5678e498 · inbound

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs cites this paper.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs E3C for Computational Homogenization in Nonlinear Mechanics

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:45:57.647603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.