Paper Citation Record · LEDGER

POLYDIM: A C++ library for POLYtopal DIscretization Methods

As of 10 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2505.14063.

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

pith.paper-citation-record.v1
2505.14063 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:36.280528Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

46 of 46 outbound references displayed

verified exact14
verified fuzzy20
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d30cdf88-9f99-4344-a6c7-7b5728b2d0b2 · outbound

This paper cites The virtual element method,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods The virtual element method,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:43.290754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d9ea45be-d3a9-45c0-8603-28b1186b3113 · outbound

This paper cites A hybrid high-order locking-free method for linear elasticity on general meshes,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods A hybrid high-order locking-free method for linear elasticity on general meshes,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:43.089901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 988f77cc-fbb0-4a5c-8d3f-dfe294e720c9 · outbound

This paper cites hp-version discontinuous galerkin methods on polygonal and polyhedral meshes,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods hp-version discontinuous galerkin methods on polygonal and polyhedral meshes,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:42.844836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cf000df1-f27d-4c72-85c8-00b9d8dd056b · outbound

This paper cites H m-conforming virtual elements in arbitrary dimension,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods H m-conforming virtual elements in arbitrary dimension,

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T15:42:39.151994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5f116fad-de7f-479a-843b-a906cdbdd9f6 · outbound

This paper cites An h1-conforming virtual element for darcy and brinkman equations,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods An h1-conforming virtual element for darcy and brinkman equations,

Reference 5

Resolution: verified exact; doi, observed 2026-08-07T15:42:38.951417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation faf8af2a-78ea-4d8f-9ccc-2077b80db666 · outbound

This paper cites an unresolved cited work.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:32.453203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f7fe79c-cf20-4c2e-8581-55461113caa4 · outbound

This paper cites Effective polygonal mesh generation and refinement for vem,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Effective polygonal mesh generation and refinement for vem,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:42.682994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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

This paper cites A 3D-1D Virtual Element Method for Modeling Root Water Uptake.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc87f939-cd1f-40e7-8f96-8e00020d8a64 · outbound

This paper cites Mesh Quality Agglomeration Algorithm for the Virtual Element Method Applied to Discrete Fracture Networks,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Mesh Quality Agglomeration Algorithm for the Virtual Element Method Applied to Discrete Fracture Networks,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:42.505553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 78ed57c2-d5e0-49f7-8e4b-1286f3ebbb56 · outbound

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

POLYDIM: A C++ library for POLYtopal DIscretization Methods Improving high-order vem stability on badly-shaped elements,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:42.318959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation eede0ca0-8254-4e16-99e1-4a6424066edd · outbound

This paper cites Orthogonal polynomial bases in the mixed virtual element method,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Orthogonal polynomial bases in the mixed virtual element method,

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T15:42:38.598268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e3112a7c-19a1-4941-9509-55037749cc87 · outbound

This paper cites The Role of Mesh Quality and Mesh Quality Indicators in the Virtual Element Method,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods The Role of Mesh Quality and Mesh Quality Indicators in the Virtual Element Method,

Reference 12

Resolution: verified exact; doi, observed 2026-08-07T15:42:38.417716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 716832d1-c598-464c-ace1-a1b1890b9915 · outbound

This paper cites Polyhedral mesh quality indicator for the Virtual Element Method,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Polyhedral mesh quality indicator for the Virtual Element Method,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:42.110354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3c52df96-f534-4064-812d-b08a294e84b0 · outbound

This paper cites GEDiM: GEometry for DIscretization MEthod library,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods GEDiM: GEometry for DIscretization MEthod library,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:41.945256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 35c8b9de-5604-4c72-8cfd-eded1d42cfb9 · outbound

This paper cites Vemcomp: a virtual elements matlab package for bulk-surface pdes in 2d and 3d,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Vemcomp: a virtual elements matlab package for bulk-surface pdes in 2d and 3d,

Reference 15

Resolution: verified exact; doi, observed 2026-08-07T15:42:38.208669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 72f98592-378a-45b4-baaf-e50445e94994 · outbound

This paper cites mVEM: A MATLAB Software Package for the Virtual Element Methods.

POLYDIM: A C++ library for POLYtopal DIscretization Methods mVEM: A MATLAB Software Package for the Virtual Element Methods

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:33.452139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2c6dbd9-7f0e-4641-bd8d-515f0dee54a9 · outbound

This paper cites Vemlab: a matlab library for the virtual element method.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Vemlab: a matlab library for the virtual element method

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:41.808279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 236bee1a-5205-44d3-955a-e12811697b8f · outbound

This paper cites Veamy: an extensible object-oriented c++ library for the virtual element method,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Veamy: an extensible object-oriented c++ library for the virtual element method,

Reference 18

Resolution: verified exact; doi, observed 2026-08-07T15:42:37.957107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9ec6898c-77c5-490f-8dc9-f8c2a54fc6e7 · outbound

This paper cites A framework for implementing general virtual element spaces,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods A framework for implementing general virtual element spaces,

Reference 19

Resolution: verified exact; doi, observed 2026-08-07T15:42:37.775010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9d4a262d-866b-422d-b0a4-7d44193c8128 · outbound

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

POLYDIM: A C++ library for POLYtopal DIscretization Methods High-order Virtual Element Method on polyhedral meshes,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:41.487640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 088dd7a2-95a7-4436-8a5b-2fee460251e0 · outbound

This paper cites Ill-conditioning in the virtual element method: Stabilizations and bases,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Ill-conditioning in the virtual element method: Stabilizations and bases,

Reference 21

Resolution: verified exact; doi, observed 2026-08-07T15:42:37.541269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d92eb0de-d756-4f29-bb2d-07f06b17c3a5 · outbound

This paper cites Exploring high-order three dimensional virtual elements: Bases and stabilizations,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Exploring high-order three dimensional virtual elements: Bases and stabilizations,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:41.261812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dc09dc4b-5ef6-4934-896b-f23e86d765e7 · outbound

This paper cites Parallel solvers for virtual element discretizations of elliptic equations in mixed form,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Parallel solvers for virtual element discretizations of elliptic equations in mixed form,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:41.077915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4b4ecb86-9dca-42d7-be02-ff8844e4c5de · outbound

This paper cites Divergence free virtual elements for the stokes problem on polygonal meshes,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Divergence free virtual elements for the stokes problem on polygonal meshes,

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:34.165694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85b8d25a-0698-4c0b-b7dd-af270ab8e62e · outbound

This paper cites Virtual element method for general second order elliptic problems on polygonal meshes,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Virtual element method for general second order elliptic problems on polygonal meshes,

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:34.254412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb62028f-42f8-4abe-ada7-034f55749f03 · outbound

This paper cites Basic principles of Virtual Element Methods,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Basic principles of Virtual Element Methods,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:40.865352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9c563825-1c91-4798-942f-e7af1bf63471 · outbound

This paper cites Equivalent Projectors for Virtual Element Methods,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Equivalent Projectors for Virtual Element Methods,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:40.658339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e55bc6c1-3a8e-4a8f-95b6-e0a46626a9ca · outbound

This paper cites Beirão da Veiga, F.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Beirão da Veiga, F

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:40.435126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b36b4ccb-8c4d-4ddf-9937-ed51fcb88e71 · outbound

This paper cites Stability analysis for the virtual element method,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Stability analysis for the virtual element method,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:34.661314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9050088f-92e4-4a50-aa60-dc0fb33577d5 · outbound

This paper cites Virtual elements for linear elasticity problems,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Virtual elements for linear elasticity problems,

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:34.744745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e64f4982-b383-4edf-a9f5-cfd605030556 · outbound

This paper cites Mixed virtual element methods for general second order elliptic problems on polygonal meshes,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Mixed virtual element methods for general second order elliptic problems on polygonal meshes,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:34.817006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2b3c2ee-50d6-47c9-b106-1c8d1998ee70 · outbound

This paper cites H(div) and H(curl)-conforming VEM,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods H(div) and H(curl)-conforming VEM,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:40.245032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 99b11241-be35-4854-91f9-45c0f39cd05c · outbound

This paper cites The mixed virtual element discretization for highly-anisotropic problems: the role of the boundary degrees of freedom,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods The mixed virtual element discretization for highly-anisotropic problems: the role of the boundary degrees of freedom,

Reference 33

Resolution: verified exact; doi, observed 2026-08-07T15:42:37.297148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2f5dde86-da29-4905-9009-fcf432601019 · outbound

This paper cites The stokes complex for virtual elements in three dimensions,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods The stokes complex for virtual elements in three dimensions,

Reference 34

Resolution: verified exact; doi, observed 2026-08-07T15:42:37.158637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d92485a9-2db4-4e37-ac12-c265e6822a3e · outbound

This paper cites Virtual elements for the navier–stokes problem on polygonal meshes,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Virtual elements for the navier–stokes problem on polygonal meshes,

Reference 35

Resolution: verified exact; doi, observed 2026-08-07T15:42:36.899733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e45889c3-fc28-49e1-af94-f99414ecaa3d · outbound

This paper cites The stokes complex for virtual elements with application to navier–stokes flows,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods The stokes complex for virtual elements with application to navier–stokes flows,

Reference 36

Resolution: verified exact; doi, observed 2026-08-07T15:42:36.704429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 81765e23-3bf6-420f-836a-5f6e4fa8824a · outbound

This paper cites Eigen v3,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Eigen v3,

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:35.424752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8063145f-c459-4863-afa1-91a4e72dc6e9 · outbound

This paper cites PETSc Web page,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods PETSc Web page,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:40.130202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation defb597d-f736-4b87-a38e-0af923ef37e0 · outbound

This paper cites Benchmarking the geometrical robustness of a virtual element poisson solver,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Benchmarking the geometrical robustness of a virtual element poisson solver,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:39.970379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b166ab77-4e03-434e-a0f2-41e9e51e4dd8 · outbound

This paper cites Order preserving supg stabilization for the virtual element formulation of advection–diffusion problems,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Order preserving supg stabilization for the virtual element formulation of advection–diffusion problems,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:39.769590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2c6ac4d9-b520-4bb8-bf75-ae710812fa51 · outbound

This paper cites Arbitrary order 2D virtual elements for polygonal meshes: part I, elastic problem,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Arbitrary order 2D virtual elements for polygonal meshes: part I, elastic problem,

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:35.938226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee16eadd-df23-4c38-834a-f62bd1dda653 · outbound

This paper cites Mesh optimization for the virtual element method: How small can an agglomerated mesh become?.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Mesh optimization for the virtual element method: How small can an agglomerated mesh become?

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:39.578422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 214c293b-3016-424b-9c0b-f0aa4069f22c · outbound

This paper cites 3d adaptive vem with stabilization-free a posteriori error bounds,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods 3d adaptive vem with stabilization-free a posteriori error bounds,

Reference 43

Resolution: verified exact; doi, observed 2026-08-07T15:42:36.512539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5f2586bf-b386-4430-bbd9-32ad122e7407 · outbound

This paper cites Higher-order adaptive virtual element methods with contraction properties,.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Higher-order adaptive virtual element methods with contraction properties,

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:36.280528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c76005c8-48ca-485c-aece-18926210b614 · outbound

This paper cites Available: https://doi.org/10.1142/S0218202514500146.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Available: https://doi.org/10.1142/S0218202514500146

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:31.994648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 123e398c-6d27-4643-a437-d35ad15746b9 · outbound

This paper cites Available: https://doi.org/10.1007/s10092-023-00517-5.

POLYDIM: A C++ library for POLYtopal DIscretization Methods Available: https://doi.org/10.1007/s10092-023-00517-5

Reference 2023

Resolution: verified exact; doi, observed 2026-08-07T15:42:38.798431Z

Source-reported events for the cited work

correction dated 2023-05-11. Source: crossref record 10.1007/s10092-023-00526-4->10.1007/s10092-023-00517-5:correction, observed 2026-07-11T03:00:36.401493+00:00. This notice travels one citation hop only.

Pith citing papers

No inbound Pith citation observations are available.