Paper Citation Record · LEDGER

A 3D-1D Virtual Element Method for Modeling Root Water Uptake

As of 21 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 2 inbound Pith citation observations for arXiv:2412.12884.

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

pith.paper-citation-record.v1
2412.12884 v1

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:43:10.674788Z

measured 62 of 62 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:32.703555Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T19:23:48.169735Z

Reference resolution

60 of 60 outbound references displayed

verified exact23
verified fuzzy28
unresolved7
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3c99c22c-47ab-4edb-8e4b-20f55e22699f · outbound

This paper cites Soil hydrology in the earth system,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Soil hydrology in the earth system,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.449073Z

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 53e6c4af-1cc9-4e17-a6fe-00e512c56047 · outbound

This paper cites Root hairs matter at field scale for maize shoot growth and nutrient uptake, but root trait plasticity is primarily triggered by texture and drought,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Root hairs matter at field scale for maize shoot growth and nutrient uptake, but root trait plasticity is primarily triggered by texture and drought,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.438958Z

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 b5d0b8da-ca90-4b46-b9de-7a0e30ace509 · outbound

This paper cites Linking rhizosphere processes across scales: Opinion,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Linking rhizosphere processes across scales: Opinion,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.428646Z

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 7408b9b5-a61f-42da-9af4-0898809e4dba · outbound

This paper cites Editorial: Benchmarking 3d-models of root growth, architec- ture and functioning,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Editorial: Benchmarking 3d-models of root growth, architec- ture and functioning,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.417828Z

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 69c8b231-1fad-4c8c-94a8-2f0e71e442c8 · outbound

This paper cites Combining root and soil hydraulics in macroscopic representations of root water uptake,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Combining root and soil hydraulics in macroscopic representations of root water uptake,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.406678Z

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 347a03b1-49f0-4f7c-8703-6b83fa270b0d · outbound

This paper cites Mechanistically derived macroscopic root water uptake functions: The α and ω of root water uptake functions,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Mechanistically derived macroscopic root water uptake functions: The α and ω of root water uptake functions,

Reference 6

Resolution: malformed identifier; doi_truncated, observed 2026-08-11T13:43:10.856129Z

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 beeed1f8-781d-49ec-a25d-631d352d0339 · outbound

This paper cites A closer look at root water potential: experimental evidence based on drought stress of chrysopogon zizanioides,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake A closer look at root water potential: experimental evidence based on drought stress of chrysopogon zizanioides,

Reference 7

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.845033Z

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 59d9e9b1-76b2-43a7-9e5d-8afd71f11726 · outbound

This paper cites Modeling root system growth around obstacles,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Modeling root system growth around obstacles,

Reference 8

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.834028Z

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 4a225abe-2fe0-42f9-a271-30f5144586f0 · outbound

This paper cites Finite element approximation of elliptic problems with dirac measure terms in weighted spaces: applications to one- and three-dimensional coupled problems,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Finite element approximation of elliptic problems with dirac measure terms in weighted spaces: applications to one- and three-dimensional coupled problems,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.396898Z

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 b47de37a-537a-4692-a8e1-6d6ba929420d · outbound

This paper cites A mixed finite element method for darcy flow in fractured porous media with non-matching grids,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake A mixed finite element method for darcy flow in fractured porous media with non-matching grids,

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:43:12.133630Z

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 df00a553-a26a-4c61-b49a-0fce2ede59ac · outbound

This paper cites Numerical approximations of singular source terms in differential equations,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Numerical approximations of singular source terms in differential equations,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.387248Z

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 a4c6f663-c8af-4604-97bd-695ee305421a · outbound

This paper cites Multiscale modeling of vascularized tissues via nonmatching immersed methods,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Multiscale modeling of vascularized tissues via nonmatching immersed methods,

Reference 12

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.824274Z

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 364d2151-fbcd-467f-9bd0-65be158a1979 · outbound

This paper cites Modeling tissue perfusion in terms of 1d-3d embedded mixed- dimension coupled problems with distributed sources,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Modeling tissue perfusion in terms of 1d-3d embedded mixed- dimension coupled problems with distributed sources,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.376506Z

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 1f274c93-608f-4e31-a069-11f83c813af3 · outbound

This paper cites Well modelling by means of coupled 1d-3d flow models,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Well modelling by means of coupled 1d-3d flow models,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.366584Z

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 f7970b3e-2c57-45e6-9c18-82e8bfa8d019 · outbound

This paper cites Splitting method for elliptic equations with line sources,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Splitting method for elliptic equations with line sources,

Reference 15

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:43:12.060566Z

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 c871a543-74e0-48b0-954f-4aefa01b3634 · outbound

This paper cites Derivation and analysis of coupled pdes on manifolds with high dimensionality gap arising from topological model reduction,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Derivation and analysis of coupled pdes on manifolds with high dimensionality gap arising from topological model reduction,

Reference 16

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:43:11.743909Z

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 c7b7aa71-7d3a-48ea-baa9-94e99b5899cb · outbound

This paper cites Analysis and approximation of mixed-dimensional pdes on 3d-1d domains coupled with lagrange multipliers,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Analysis and approximation of mixed-dimensional pdes on 3d-1d domains coupled with lagrange multipliers,

Reference 17

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.813314Z

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 fb10968c-66c8-4526-ac72-730360e658dc · outbound

This paper cites A pde-constrained optimization method for 3d-1d coupled problems with discontinuous solutions,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake A pde-constrained optimization method for 3d-1d coupled problems with discontinuous solutions,

Reference 18

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.801904Z

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 fbb79c41-6761-4f20-a94d-642729793ad5 · outbound

This paper cites Mass-conservative finite volume methods on 2-d unstructured grids for the richards’ equation,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Mass-conservative finite volume methods on 2-d unstructured grids for the richards’ equation,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.356523Z

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 6db368c4-071c-4249-a771-0f2cff716d13 · outbound

This paper cites Bayesian inference of root architectural model parameters from synthetic field data,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Bayesian inference of root architectural model parameters from synthetic field data,

Reference 20

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.790992Z

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 3e99a486-5939-4bf9-8464-bc0530bb1a62 · outbound

This paper cites A new simulation framework for soil–root interaction, evaporation, root growth, and solute transport,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake A new simulation framework for soil–root interaction, evaporation, root growth, and solute transport,

Reference 21

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.779709Z

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 f0c3152f-1f35-4731-bfbd-1bd7c92d1001 · outbound

This paper cites 3D Adaptive VEM with stabilization-free a posteriori error bounds.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake 3D Adaptive VEM with stabilization-free a posteriori error bounds

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:43:11.663593Z

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 92c72946-c8cc-4586-8bba-dcb584602eee · outbound

This paper cites A simulation model of the three-dimensional architecture of the maize root system,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake A simulation model of the three-dimensional architecture of the maize root system,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.345851Z

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 1970d252-bce4-4fe1-a726-8ae94702bd0b · outbound

This paper cites Mechanistic framework to link root growth models with weather and soil physical properties, including example applications to soybean growth in brazil,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Mechanistic framework to link root growth models with weather and soil physical properties, including example applications to soybean growth in brazil,

Reference 24

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.768181Z

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 0b7eed6b-abd7-421c-a149-b039b9314d04 · outbound

This paper cites A general mass-conservative numerical solution for the unsaturated flow equation,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake A general mass-conservative numerical solution for the unsaturated flow equation,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.336264Z

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 9f0e4615-f0a2-49c5-8663-d6f81876cec1 · outbound

This paper cites A closed-form equation for predicting the hydraulic conductivity of unsaturated soils,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake A closed-form equation for predicting the hydraulic conductivity of unsaturated soils,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T13:43:10.559227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b641c65-36fd-4b79-b634-cfe3ef798871 · outbound

This paper cites A posteriori error estimates for the Richards equation,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake A posteriori error estimates for the Richards equation,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.326151Z

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 0c3351a0-5851-4c15-9d3b-09ed62f5be24 · outbound

This paper cites Fluid mechanics in plant biology,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Fluid mechanics in plant biology,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.316229Z

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 1f9738cc-22b9-4a6c-92ee-62c6bd0ff65c · outbound

This paper cites Computational models for root water uptake,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Computational models for root water uptake,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.307237Z

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 1a101bc1-c757-4407-a014-5dc34238b424 · outbound

This paper cites Continuum multiscale model of root water and nutrient uptake from soil with explicit consideration of the 3D root architecture and the rhizosphere gradients,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Continuum multiscale model of root water and nutrient uptake from soil with explicit consideration of the 3D root architecture and the rhizosphere gradients,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.297958Z

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 864de0fe-8adf-4575-b41b-a9f98425e456 · outbound

This paper cites Computational models for fluid exchange between microcirculation and tissue interstitium,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Computational models for fluid exchange between microcirculation and tissue interstitium,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.287886Z

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 50dd4e20-5d96-4406-b3c5-dd08f583f2dd · outbound

This paper cites A finite element model for concentration polarization and osmotic effects in a membrane channel,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake A finite element model for concentration polarization and osmotic effects in a membrane channel,

Reference 32

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.756988Z

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 5b1d3178-8f64-49d3-aa45-cd8567228563 · outbound

This paper cites Reduced and multiscale models for the human cardiovascular system,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Reduced and multiscale models for the human cardiovascular system,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.277251Z

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 6f097010-4002-4099-aada-35b65067c1ac · outbound

This paper cites Application of navier – stokes equation to solve fluid flow problems,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Application of navier – stokes equation to solve fluid flow problems,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.266544Z

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 74904886-183a-4f40-9766-ce2d3e01d74e · outbound

This paper cites 3d-1d coupling on non conforming meshes via a three-field optimization based domain decomposition,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake 3d-1d coupling on non conforming meshes via a three-field optimization based domain decomposition,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.256075Z

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 d5593207-4aae-44b2-ab11-40f3336dd948 · outbound

This paper cites Simulating root growth as a function of soil strength and yield with a field-scale crop model coupled with a 3d architectural root model,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Simulating root growth as a function of soil strength and yield with a field-scale crop model coupled with a 3d architectural root model,

Reference 36

Resolution: metadata mismatch; raw_fallback, observed 2026-08-11T13:43:11.408849Z

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 f7214db5-f737-4dc6-871c-814dda470e55 · outbound

This paper cites Simultaneous modeling of transient three-dimensional root growth and soil water flow,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Simultaneous modeling of transient three-dimensional root growth and soil water flow,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.244867Z

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 93b3b71a-e2df-4cf7-8c13-040d5bdfb42d · outbound

This paper cites an unresolved cited work.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:43:12.233542Z

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 a4a8163c-3907-4890-8c49-224e33915906 · outbound

This paper cites Developing Existing Plant Root System Architecture Models to Meet Future Agricultural Challenges,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Developing Existing Plant Root System Architecture Models to Meet Future Agricultural Challenges,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.223327Z

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 ec8527ea-3247-44af-83c5-ef42738b548f · outbound

This paper cites An optimization based 3d-1d coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake An optimization based 3d-1d coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.212688Z

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 e1181945-bf0e-41b4-be65-eb7ffbbfb31e · outbound

This paper cites Analysis and modeling of the variations of root branching density within individual plants and among species,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Analysis and modeling of the variations of root branching density within individual plants and among species,

Reference 41

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:43:11.337473Z

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 7ebab509-1c73-4b09-8100-12ed6c023f4f · outbound

This paper cites An architectural approach to the comparative ecology of plant root systems,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake An architectural approach to the comparative ecology of plant root systems,

Reference 42

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:43:11.266637Z

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 5bb76790-6d4c-4e7d-b8b8-21b0ed35f524 · outbound

This paper cites A mathematical model for water and nutrient uptake by plant root systems,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake A mathematical model for water and nutrient uptake by plant root systems,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.202137Z

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 7d769d71-ece4-4f58-909d-85d374af32a0 · outbound

This paper cites Model selection and parameter estimation for root architecture models using likelihood-free inference,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Model selection and parameter estimation for root architecture models using likelihood-free inference,

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.192132Z

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 e7269725-8d0a-438f-a1c6-50b32d40ef03 · outbound

This paper cites Architectural analysis of plant root systems 1. architectural correlates of exploitation efficiency,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Architectural analysis of plant root systems 1. architectural correlates of exploitation efficiency,

Reference 45

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:43:11.107876Z

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 1f4ba693-5ab8-45b1-924a-3485bac5deef · outbound

This paper cites High-order Virtual Element Method on polyhedral meshes,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake High-order Virtual Element Method on polyhedral meshes,

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-11T13:43:10.633038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c79bb67f-b58e-4de8-8bc9-e1687b726488 · outbound

This paper cites The Hitchhiker’s Guide to the Virtual Element Method,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake The Hitchhiker’s Guide to the Virtual Element Method,

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.176972Z

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 a1cd2c6d-3e1c-4d8f-8d38-e7ad46e653c7 · outbound

This paper cites Improving high-order vem stability on badly-shaped elements,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Improving high-order vem stability on badly-shaped elements,

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-11T13:43:10.639393Z

Source-reported events for the cited work

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Observation 8263d69d-4f2e-461f-9e2c-580825c94590 · outbound

This paper cites Virtual element method for quasilinear elliptic problems,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Virtual element method for quasilinear elliptic problems,

Reference 49

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Observation 0be1cfe9-89b1-46b7-8ed8-3b2733f3c795 · outbound

This paper cites Virtual element methods for parabolic problems on polygonal meshes,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Virtual element methods for parabolic problems on polygonal meshes,

Reference 50

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Observation dd05c1c8-e72d-4608-bd17-6c7afc0e668f · outbound

This paper cites Basic principles of Virtual Element Methods,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Basic principles of Virtual Element Methods,

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-11T13:43:10.650291Z

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Observation 53b0e416-1968-4a80-912f-a043e35f5e9b · outbound

This paper cites A study on iterative methods for solving richards’ equation,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake A study on iterative methods for solving richards’ equation,

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.154964Z

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Observation 88fc833d-ab83-4378-b330-097ae8ce1e03 · outbound

This paper cites The lowest-order Neural Approximated Virtual Element Method.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake The lowest-order Neural Approximated Virtual Element Method

Reference 53

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:43:11.025726Z

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Observation e06a4790-a50b-4e99-ad74-d3a52b7a6e45 · outbound

This paper cites Use of a three-dimensional detailed modeling approach for predicting root water uptake,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Use of a three-dimensional detailed modeling approach for predicting root water uptake,

Reference 54

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:43:11.010537Z

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Observation d58481a3-50eb-47c6-96b2-93a3ef2f304f · outbound

This paper cites Collaborative benchmarking of functional-structural root architecture models: Quantitative comparison of simulated root water uptake,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Collaborative benchmarking of functional-structural root architecture models: Quantitative comparison of simulated root water uptake,

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:43:12.144212Z

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Observation 54e50129-0f2e-4a74-bb7e-05c9afb9f102 · outbound

This paper cites Water uptake can occur through woody portions of roots and facilitates localized embolism repair in grapevine,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Water uptake can occur through woody portions of roots and facilitates localized embolism repair in grapevine,

Reference 56

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.731491Z

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Observation e5a0c918-ad48-4ce6-9061-6dad97bfd4e5 · outbound

This paper cites Developing joint probability distributions of soil water retention characteristics,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Developing joint probability distributions of soil water retention characteristics,

Reference 57

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.718966Z

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Observation 524f3a10-fbf0-423e-a5e0-506141acaa00 · outbound

This paper cites Parameter sensitivity analysis of a root system architecture model based on virtual field sampling,.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Parameter sensitivity analysis of a root system architecture model based on virtual field sampling,

Reference 58

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.707487Z

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correction dated 2022-08-15. Source: crossref record 10.1007/s11104-021-05089-3->10.1007/s11104-019-03993-3:correction, observed 2026-07-11T03:04:24.042022+00:00. This notice travels one citation hop only.

Observation d93e534d-a810-459f-8b4e-f07570a68682 · outbound

This paper cites Available: https://royalsocietypublishing.org/doi/abs/10.1098/rsif.2019.0293.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Available: https://royalsocietypublishing.org/doi/abs/10.1098/rsif.2019.0293

Reference 2019

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:43:11.187237Z

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Observation d327a012-8426-4e8e-b64e-60591249e910 · outbound

This paper cites Available: https://acsess.onlinelibrary.wiley.com/doi/abs/10.1002/vzj2.20273.

A 3D-1D Virtual Element Method for Modeling Root Water Uptake Available: https://acsess.onlinelibrary.wiley.com/doi/abs/10.1002/vzj2.20273

Reference 2024

Resolution: verified exact; doi, observed 2026-08-11T13:43:10.866523Z

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Pith citing papers

Observation eb581449-fd91-4ba8-bdf3-474d84eaf26f · inbound

POLYDIM: A C++ library for POLYtopal DIscretization Methods cites this paper.

POLYDIM: A C++ library for POLYtopal DIscretization Methods A 3D-1D Virtual Element Method for Modeling Root Water Uptake

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:32.703555Z

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Observation 2d7a0495-675f-4082-954c-e97caaa73872 · inbound

The Neural Approximated Virtual Element Method for Elasticity Problems cites this paper.

The Neural Approximated Virtual Element Method for Elasticity Problems A 3D-1D Virtual Element Method for Modeling Root Water Uptake

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:23:48.280945Z

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