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Paper Citation Record · LEDGER

Multicontinuum Homogenization for Poroelasticity Model

As of 8 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2506.20890.

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

pith.paper-citation-record.v1
2506.20890 v1

Coverage vector

measured 48 of 48 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T22:47:35.823692Z

measured 48 of 48 standing notices

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Reference resolution

48 of 48 outbound references displayed

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Outbound references

Observation 68382742-cb4f-482a-8d65-4e3bec4e4193 · outbound

This paper cites Stochastic poromechanical modeling of anthropogenic land subsidence.International journal of solids and structures, 43(11-12):3324–3336, 2006.

Multicontinuum Homogenization for Poroelasticity Model Stochastic poromechanical modeling of anthropogenic land subsidence.International journal of solids and structures, 43(11-12):3324–3336, 2006

Reference 1

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Observation d553a668-ae6b-451f-8e8f-59d2e7382f57 · outbound

This paper cites an unresolved cited work.

Multicontinuum Homogenization for Poroelasticity Model Unresolved cited work

Reference 2

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Observation 0841f0dd-bfd1-4f83-9238-eb56381d7d46 · outbound

This paper cites an unresolved cited work.

Multicontinuum Homogenization for Poroelasticity Model Unresolved cited work

Reference 3

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Observation 2ddf2d88-7033-4064-841b-e9558fea47ce · outbound

This paper cites A poroelastic model valid in large strains with applications to perfusion in cardiac modeling.Computational Mechanics, 46:91–101, 2010.

Multicontinuum Homogenization for Poroelasticity Model A poroelastic model valid in large strains with applications to perfusion in cardiac modeling.Computational Mechanics, 46:91–101, 2010

Reference 4

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Observation 7d7c2af7-71af-41fe-b6f7-fa917ad9bbee · outbound

This paper cites General solutions to poroviscoelastic model of hydro- cephalic human brain tissue.Journal of Theoretical Biology, 291:105–118, 2011.

Multicontinuum Homogenization for Poroelasticity Model General solutions to poroviscoelastic model of hydro- cephalic human brain tissue.Journal of Theoretical Biology, 291:105–118, 2011

Reference 5

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Observation 4861f946-b0b6-4ffc-975f-def6c4549ba6 · outbound

This paper cites General theory of three-dimensional consolidation.Journal of applied physics, 12(2):155–164, 1941.

Multicontinuum Homogenization for Poroelasticity Model General theory of three-dimensional consolidation.Journal of applied physics, 12(2):155–164, 1941

Reference 6

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Source-reported events for the cited work

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Observation aea1d50d-6e27-4fc8-9605-01a22fccb2ab · outbound

This paper cites Theory of elasticity and consolidation for a porous anisotropic solid.Journal of applied physics, 26(2):182–185, 1955.

Multicontinuum Homogenization for Poroelasticity Model Theory of elasticity and consolidation for a porous anisotropic solid.Journal of applied physics, 26(2):182–185, 1955

Reference 7

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Observation 460967e7-58d5-457f-938c-1ddf5274ddff · outbound

This paper cites Theory of deformation of a porous viscoelastic anisotropic solid.Journal of Applied physics, 27(5):459–467, 1956.

Multicontinuum Homogenization for Poroelasticity Model Theory of deformation of a porous viscoelastic anisotropic solid.Journal of Applied physics, 27(5):459–467, 1956

Reference 8

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Observation 3229b67d-4439-4bd9-8b51-eb9841469aa0 · outbound

This paper cites Mechanics of porous elastic materials containing multiphase fluid.International journal of engineering science, 23(11):1203–1214, 1985.

Multicontinuum Homogenization for Poroelasticity Model Mechanics of porous elastic materials containing multiphase fluid.International journal of engineering science, 23(11):1203–1214, 1985

Reference 9

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Observation c7bb7069-794f-4f95-a93f-249b44dbf925 · outbound

This paper cites an unresolved cited work.

Multicontinuum Homogenization for Poroelasticity Model Unresolved cited work

Reference 10

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Observation 7da6b107-0780-45fb-b2c5-c8fbb56f499a · outbound

This paper cites an unresolved cited work.

Multicontinuum Homogenization for Poroelasticity Model Unresolved cited work

Reference 11

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Observation 583eae72-519c-47af-ac4e-1f8219c9def0 · outbound

This paper cites Cerebral water transport using multiple-network poroelastic theory: application to normal pressure hydrocephalus.Journal of Fluid Mechanics, 667:188–215, 2011.

Multicontinuum Homogenization for Poroelasticity Model Cerebral water transport using multiple-network poroelastic theory: application to normal pressure hydrocephalus.Journal of Fluid Mechanics, 667:188–215, 2011

Reference 12

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Observation 7ff34d7f-52e7-4549-bd61-a777211896f1 · outbound

This paper cites Elsevier, 1978.

Multicontinuum Homogenization for Poroelasticity Model Elsevier, 1978

Reference 13

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Observation 4bf4700d-3865-49c8-8527-89fc56d3ed37 · outbound

This paper cites Springer Science & Business Media, 2012.

Multicontinuum Homogenization for Poroelasticity Model Springer Science & Business Media, 2012

Reference 14

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Observation a34064f1-3f39-41ce-a123-224770d5857a · outbound

This paper cites Homogenization and field concentrations in heterogeneous media.SIAM journal on mathematical analysis, 38(4):1048–1059, 2006.

Multicontinuum Homogenization for Poroelasticity Model Homogenization and field concentrations in heterogeneous media.SIAM journal on mathematical analysis, 38(4):1048–1059, 2006

Reference 15

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Observation cfb9933c-fcac-4d6f-90e7-51d25ac2acd7 · outbound

This paper cites Analysis of upscaling absolute permeability.

Multicontinuum Homogenization for Poroelasticity Model Analysis of upscaling absolute permeability

Reference 16

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Observation 7ab5e49d-e19b-4f7e-8678-3d39ce0f4acb · outbound

This paper cites Numerical calculation of equivalent grid block permeability tensors for heteroge- neous porous media.Water resources research, 27(5):699–708, 1991.

Multicontinuum Homogenization for Poroelasticity Model Numerical calculation of equivalent grid block permeability tensors for heteroge- neous porous media.Water resources research, 27(5):699–708, 1991

Reference 17

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Observation 12c1f6d4-e452-4b20-b9cf-f3333ddb84f4 · outbound

This paper cites Asymptotic homogenisation in linear elasticity.

Multicontinuum Homogenization for Poroelasticity Model Asymptotic homogenisation in linear elasticity

Reference 18

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Observation 9be7ecf2-b01d-4713-a728-fce10bc0afbb · outbound

This paper cites Machine learning for accelerating macroscopic parameters prediction for poroelasticity problem in stochastic media.Computers & Mathematics with Applica- tions, 84:185–202, 2021.

Multicontinuum Homogenization for Poroelasticity Model Machine learning for accelerating macroscopic parameters prediction for poroelasticity problem in stochastic media.Computers & Mathematics with Applica- tions, 84:185–202, 2021

Reference 19

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Observation 800f4557-ef63-428a-be25-35ff972ecd20 · outbound

This paper cites On a question about the propagation of heat in heterogeneous media.(russian) izvestiya akad.Nauk SSSR.

Multicontinuum Homogenization for Poroelasticity Model On a question about the propagation of heat in heterogeneous media.(russian) izvestiya akad.Nauk SSSR

Reference 20

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Observation eed20321-055e-471e-81d7-a3335d14603b · outbound

This paper cites Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata].Journal of applied mathematics and mechanics, 24(5):1286–1303, 1960.

Multicontinuum Homogenization for Poroelasticity Model Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata].Journal of applied mathematics and mechanics, 24(5):1286–1303, 1960

Reference 21

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Observation b343b401-fc75-45bc-ac7a-33ca50c28164 · outbound

This paper cites A theory of mixtures with different constituent temperatures.Journal of thermal stresses, 20(2):147–167, 1997.

Multicontinuum Homogenization for Poroelasticity Model A theory of mixtures with different constituent temperatures.Journal of thermal stresses, 20(2):147–167, 1997

Reference 22

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Observation 00964c29-a997-4399-b564-e1895dc9045a · outbound

This paper cites Upscaling of a diffusion problem with interfacial flux jump leading to a modified barenblatt model, 2019.

Multicontinuum Homogenization for Poroelasticity Model Upscaling of a diffusion problem with interfacial flux jump leading to a modified barenblatt model, 2019

Reference 23

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Observation bd6c5c78-faf1-4aae-aa9b-57a0dac4e9dd · outbound

This paper cites Derivation of the double porosity model of single phase flow via homogenization theory.SIAM Journal on Mathematical Analysis, 21(4):823– 836, 1990.

Multicontinuum Homogenization for Poroelasticity Model Derivation of the double porosity model of single phase flow via homogenization theory.SIAM Journal on Mathematical Analysis, 21(4):823– 836, 1990

Reference 24

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Observation e6833fff-4f50-4506-8ba2-3672ed31c248 · outbound

This paper cites an unresolved cited work.

Multicontinuum Homogenization for Poroelasticity Model Unresolved cited work

Reference 25

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Observation d6a63925-5b2c-4201-af6c-05ed4a7bf230 · outbound

This paper cites A multi-continuum theory for composite elastic materials.Acta Mechanica, 14(2):85–102, 1972.

Multicontinuum Homogenization for Poroelasticity Model A multi-continuum theory for composite elastic materials.Acta Mechanica, 14(2):85–102, 1972

Reference 26

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Observation 4c1a7954-9ad0-4d3a-9aa7-3ac8e545e3c3 · outbound

This paper cites On the problem of diffusion in solids.Acta Mechanica, 37(3):265–296, 1980.

Multicontinuum Homogenization for Poroelasticity Model On the problem of diffusion in solids.Acta Mechanica, 37(3):265–296, 1980

Reference 27

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Observation 5b76fa1b-ea9c-4d81-ba69-86b4f722e408 · outbound

This paper cites On the theory of consolidation with double porosity.International Journal of Engineering Science, 20(9):1009–1035, 1982.

Multicontinuum Homogenization for Poroelasticity Model On the theory of consolidation with double porosity.International Journal of Engineering Science, 20(9):1009–1035, 1982

Reference 28

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verified fuzzy
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation a44b1411-e698-4666-9f01-52a1e518b8e6 · outbound

This paper cites Multiporosity/multipermeability approach to the simulation of naturally fractured reservoirs.Water resources research, 29(6):1621–1633, 1993.

Multicontinuum Homogenization for Poroelasticity Model Multiporosity/multipermeability approach to the simulation of naturally fractured reservoirs.Water resources research, 29(6):1621–1633, 1993

Reference 29

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Observation f9e08abb-e88f-4e55-ae2b-691b9533b92b · outbound

This paper cites A multiple-network poroelastic model for biological systems and application to subject-specific modelling of cerebral fluid transport.

Multicontinuum Homogenization for Poroelasticity Model A multiple-network poroelastic model for biological systems and application to subject-specific modelling of cerebral fluid transport

Reference 30

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Observation 5c986dd7-8466-4792-b733-e4e7e9d84f41 · outbound

This paper cites Multicontinuum homogenization and its relation to nonlocal multicontinuum theories.Journal of Computational Physics, 474:111761, 2023.

Multicontinuum Homogenization for Poroelasticity Model Multicontinuum homogenization and its relation to nonlocal multicontinuum theories.Journal of Computational Physics, 474:111761, 2023

Reference 31

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Observation 64a3e029-a720-4208-a1b7-3f08ace9f80f · outbound

This paper cites Multicontinuum homogenization.

Multicontinuum Homogenization for Poroelasticity Model Multicontinuum homogenization

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 86ea6ebb-8a42-49f8-ae3a-da98774caf84 · outbound

This paper cites Some convergence analysis for multicontinuum homogenization.

Multicontinuum Homogenization for Poroelasticity Model Some convergence analysis for multicontinuum homogenization

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source=pdf_text observed=2026-08-06T22:47:35.783460Z digest=sha256:49995370ec54408ee99aceac1f38a7230dc73347d003da89c0415f77d0fc435c

Observation 7eb49daa-ca41-4249-b32a-c3bdd9bcad34 · outbound

This paper cites Multicontinuum homogenization in perforated domains.Journal of Computational Physics, 530:113845, 2025.

Multicontinuum Homogenization for Poroelasticity Model Multicontinuum homogenization in perforated domains.Journal of Computational Physics, 530:113845, 2025

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Observation 38dd94ea-0927-444e-9243-ad636fd770eb · outbound

This paper cites Multicontinuum homogeniza- tion for coupled flow and transport equations.Journal of Computational and Applied Mathematics, page 116736, 2025.

Multicontinuum Homogenization for Poroelasticity Model Multicontinuum homogeniza- tion for coupled flow and transport equations.Journal of Computational and Applied Mathematics, page 116736, 2025

Reference 35

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Observation 178d700f-8442-430a-adcc-f4feb4b7a2c6 · outbound

This paper cites Multicontinuum splitting scheme for multiscale flow problems.

Multicontinuum Homogenization for Poroelasticity Model Multicontinuum splitting scheme for multiscale flow problems

Reference 36

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Observation 1c533ba9-a534-4920-a620-a484549f2faf · outbound

This paper cites an unresolved cited work.

Multicontinuum Homogenization for Poroelasticity Model Unresolved cited work

Reference 37

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source=pdf_text observed=2026-08-06T22:47:35.795702Z digest=sha256:d420142bf794aa50f1dc872de5b91c8e46abe4f49e263244fe8fa131250c9bf8

Observation 55651d37-7c5a-4997-b06c-074c9ba8f910 · outbound

This paper cites Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.Journal of computational physics, 187(1):47–67, 2003.

Multicontinuum Homogenization for Poroelasticity Model Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.Journal of computational physics, 187(1):47–67, 2003

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:47:35.798122Z digest=sha256:7c60360e241d99b497c36e02b725bf5c57ac3b2df8f998bf97818ae8bfd741ba

Observation 6d35ff78-afde-47a1-bd40-60015181fe7a · outbound

This paper cites Springer Science & Business Media, 2009.

Multicontinuum Homogenization for Poroelasticity Model Springer Science & Business Media, 2009

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verified fuzzy
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Source-reported events for the cited work

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Observation abc60928-d6d8-4d82-9188-f7e4ed896022 · outbound

This paper cites Generalized multiscale finite element methods (gmsfem).Journal of computational physics, 251:116–135, 2013.

Multicontinuum Homogenization for Poroelasticity Model Generalized multiscale finite element methods (gmsfem).Journal of computational physics, 251:116–135, 2013

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Observation ded0071d-2d63-4252-9dd9-1f954572a64f · outbound

This paper cites Constraint energy minimizing general- ized multiscale finite element method.Computer Methods in Applied Mechanics and Engineering, 339:298–319, 2018.

Multicontinuum Homogenization for Poroelasticity Model Constraint energy minimizing general- ized multiscale finite element method.Computer Methods in Applied Mechanics and Engineering, 339:298–319, 2018

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation e620da85-554a-448a-84ee-43e3acd77916 · outbound

This paper cites Algorithmic monotone multiscale finite volume methods for porous media flow.Journal of Computational Physics, 499:112739, 2024.

Multicontinuum Homogenization for Poroelasticity Model Algorithmic monotone multiscale finite volume methods for porous media flow.Journal of Computational Physics, 499:112739, 2024

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:47:35.808466Z digest=sha256:f2fd167919894492a4cf8ca1c5f2c725955cb1196920d137ac4e161f8329858f

Observation fb910471-ae8f-4ac2-b297-768bda2901c6 · outbound

This paper cites A generalized multiscale finite element method for poroelastic- ity problems i: Linear problems.Journal of Computational and Applied Mathematics, 294:372–388, 2016.

Multicontinuum Homogenization for Poroelasticity Model A generalized multiscale finite element method for poroelastic- ity problems i: Linear problems.Journal of Computational and Applied Mathematics, 294:372–388, 2016

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Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation b92bf9af-8ec1-45c3-a221-c00aef7d5760 · outbound

This paper cites Generalized multiscale finite element method for the poroelasticity problem in multicontinuum media.Journal of Computational and Applied Mathematics, 374:112783, 2020.

Multicontinuum Homogenization for Poroelasticity Model Generalized multiscale finite element method for the poroelasticity problem in multicontinuum media.Journal of Computational and Applied Mathematics, 374:112783, 2020

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation f144f0d1-381d-4d82-a6dc-d6b7401219b4 · outbound

This paper cites Constraint energy minimizing generalized multiscale fi- nite element method for nonlinear poroelasticity and elasticity.Journal of Computational Physics, 417:109569, 2020.

Multicontinuum Homogenization for Poroelasticity Model Constraint energy minimizing generalized multiscale fi- nite element method for nonlinear poroelasticity and elasticity.Journal of Computational Physics, 417:109569, 2020

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Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T22:47:35.816235Z digest=sha256:0867941ad7770e69accb5c846a11c5bf69e31f4beda8aaf6062f1d1b26046553

Observation 26e17c72-dae5-4f16-89bb-b78c9bafe8b3 · outbound

This paper cites Springer Science & Business Media, 2012.

Multicontinuum Homogenization for Poroelasticity Model Springer Science & Business Media, 2012

Reference 46

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:47:35.818648Z digest=sha256:3ad6c4cada77999d817409e6d4f0f8c0b6ca10fd9cad7beb892dbb4f1614caf0

Observation 55643503-5eed-432a-bf42-20989991ede5 · outbound

This paper cites Gmsh: A 3-d finite element mesh generator with built-in pre-and post-processing facilities.International journal for numerical methods in engineer- ing, 79(11):1309–1331, 2009.

Multicontinuum Homogenization for Poroelasticity Model Gmsh: A 3-d finite element mesh generator with built-in pre-and post-processing facilities.International journal for numerical methods in engineer- ing, 79(11):1309–1331, 2009

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Resolution
verified fuzzy
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source=pdf_text observed=2026-08-06T22:47:35.821133Z digest=sha256:9d905f51fd796f7e70a094acfb1284c4f9a0137a69a0518f7a59d131322bf850

Observation a6ce35d2-ad19-42e2-b1dc-8abf1aaaf53d · outbound

This paper cites Kitware, Inc., 2015.

Multicontinuum Homogenization for Poroelasticity Model Kitware, Inc., 2015

Reference 48

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verified fuzzy
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Source-reported events for the cited work

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