Paper Citation Record · LEDGER

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry

As of 22 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.21295.

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pith.paper-citation-record.v1
2607.21295 v1

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measured 32 of 32 reference resolution

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measured 32 of 32 standing notices

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32 of 32 outbound references displayed

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Outbound references

Observation fca860c3-7725-4f77-ac95-9f8c64b9d3e9 · outbound

This paper cites The immersed boundary method.Acta Numerica, 11:479–517, 2002.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry The immersed boundary method.Acta Numerica, 11:479–517, 2002

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T07:57:10.849938Z

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Observation 64de045c-f35a-4cb3-8a99-f078065a9269 · outbound

This paper cites The immersed interface method for elliptic equations with discontinuous coefficients and singular sources.SIAM Journal on Numerical Analysis, 31(4):1019–1044, 1994.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry The immersed interface method for elliptic equations with discontinuous coefficients and singular sources.SIAM Journal on Numerical Analysis, 31(4):1019–1044, 1994

Reference 2

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Observation 7aed25e3-4a5f-4dc6-800d-a944a3a2cfbc · outbound

This paper cites A fast immersed interface method for solving Stokes flows on irregular domains.Computers & Fluids, 38(10):1973–1983, 2009.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A fast immersed interface method for solving Stokes flows on irregular domains.Computers & Fluids, 38(10):1973–1983, 2009

Reference 3

Resolution: verified exact; doi, observed 2026-08-01T07:58:23.031688Z

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Observation b8f4aa20-3dd3-4b1d-88a0-541dbb64677c · outbound

This paper cites A fictitious domain method for Dirichlet problem and applications.Computer Methods in Applied Mechanics and Engineering, 111(3-4):283–303, 1994.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A fictitious domain method for Dirichlet problem and applications.Computer Methods in Applied Mechanics and Engineering, 111(3-4):283–303, 1994

Reference 4

Resolution: verified exact; doi, observed 2026-08-01T07:58:22.883566Z

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Observation 6fd985be-7407-45dd-9db7-f1b2cc382b3c · outbound

This paper cites Fictitious domain methods using cut elements: III.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Fictitious domain methods using cut elements: III

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T07:57:11.278203Z

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Observation 41a44b2c-41b1-4d8d-8cfb-3fbfb4cfd2e0 · outbound

This paper cites A cut finite element method for a Stokes interface problem.Applied Numerical Mathematics, 85:90–114, 2014.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A cut finite element method for a Stokes interface problem.Applied Numerical Mathematics, 85:90–114, 2014

Reference 6

Resolution: malformed identifier; no resolver link, observed 2026-08-01T07:57:11.415240Z

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Observation 422c4cda-b903-4bee-9b56-dd60ede656e1 · outbound

This paper cites Cambridge University Press, 1992.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Cambridge University Press, 1992

Reference 7

Resolution: verified exact; doi, observed 2026-08-01T07:58:22.715788Z

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Observation b4a2ad77-e64e-43ad-b2cb-c89505fe692c · outbound

This paper cites A fast multipole method for the three- dimensional Stokes equations.Journal of Computational Physics, 227(3):1613–1619, 2008.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A fast multipole method for the three- dimensional Stokes equations.Journal of Computational Physics, 227(3):1613–1619, 2008

Reference 8

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Observation 02ac4624-df36-47d3-a9f5-176edf5cc5a1 · outbound

This paper cites A kernel-free boundary integral method for elliptic boundary value problems.Journal of Computational Physics, 227(2):1046–1074, 2007.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A kernel-free boundary integral method for elliptic boundary value problems.Journal of Computational Physics, 227(2):1046–1074, 2007

Reference 9

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Observation d86f235c-b97e-4658-92ff-fbef5520bc91 · outbound

This paper cites A kernel-free boundary integral method for implicitly defined surfaces.Journal of Computational Physics, 252:606–624, 2013.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A kernel-free boundary integral method for implicitly defined surfaces.Journal of Computational Physics, 252:606–624, 2013

Reference 10

Resolution: malformed identifier; no resolver link, observed 2026-08-01T07:57:11.770020Z

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Observation adfd0462-9192-44ea-8def-3f75ef1fa5fb · outbound

This paper cites A correction function-based kernel-free boundary integral method for elliptic PDEs with implicitly defined interfaces.Journal of Computational Physics, 496:112545, 2024.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A correction function-based kernel-free boundary integral method for elliptic PDEs with implicitly defined interfaces.Journal of Computational Physics, 496:112545, 2024

Reference 11

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Observation f49c5e60-a0f1-44ef-8bf2-c47d34ea83e1 · outbound

This paper cites A Correction Function-based KFBI Method for Brinkman Interface Problems.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A Correction Function-based KFBI Method for Brinkman Interface Problems

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-01T07:58:22.628687Z

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Observation cb7fa035-d175-441d-aec5-07c2bcd18b1f · outbound

This paper cites Discrete potential theory.Duke Math.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Discrete potential theory.Duke Math

Reference 13

Resolution: verified exact; doi, observed 2026-08-01T07:58:22.500574Z

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Observation d0043259-564b-45ec-9f2b-f11f7a054ee4 · outbound

This paper cites Boundary algebraic equations for lattice problems.Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 465(2108):2489–2503, 2009.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Boundary algebraic equations for lattice problems.Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 465(2108):2489–2503, 2009

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T07:57:12.058844Z

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Observation 9d664f3b-24b9-4d58-9b90-00540175c864 · outbound

This paper cites Ryaben’kii.Method of Difference Potentials and its applications, volume 30.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Ryaben’kii.Method of Difference Potentials and its applications, volume 30

Reference 15

Resolution: verified exact; doi, observed 2026-08-01T07:58:22.400029Z

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Observation 298bd955-5299-4989-8297-7b27776da821 · outbound

This paper cites Local-basis difference potentials method for elliptic PDEs in complex geometry.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Local-basis difference potentials method for elliptic PDEs in complex geometry

Reference 16

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Observation ee057864-9c0f-410b-a041-b43a29b36c78 · outbound

This paper cites A geometrically robust unfitted boundary algebraic equation method based on discrete potentials and local basis functions.Journal of Computational Physics, 561:114957,.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A geometrically robust unfitted boundary algebraic equation method based on discrete potentials and local basis functions.Journal of Computational Physics, 561:114957,

Reference 17

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Observation f3a581e8-fd30-4742-893f-0f9c7c28d7a7 · outbound

This paper cites Asymptotic expansions of lattice Green’s functions.Proceedings of the Royal Society of London.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Asymptotic expansions of lattice Green’s functions.Proceedings of the Royal Society of London

Reference 18

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Observation 69661441-1c5c-4e65-9462-09a782bc78a5 · outbound

This paper cites A fast solver for Poisson problems on infinite regular lattices.Journal of Computational and Applied Mathematics, 258:42–56,.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A fast solver for Poisson problems on infinite regular lattices.Journal of Computational and Applied Mathematics, 258:42–56,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T07:57:12.399613Z

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Observation 5e56a47c-9b8f-48cb-bd58-3ac3d9f23005 · outbound

This paper cites Afastmulti-resolution lattice Green’s function method for elliptic difference equations.Journal of Computational Physics, 407:109270, 2020.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Afastmulti-resolution lattice Green’s function method for elliptic difference equations.Journal of Computational Physics, 407:109270, 2020

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T07:57:12.542055Z

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Observation 5a75b486-46f1-428a-b870-e875a1260b43 · outbound

This paper cites Hodapp, G.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Hodapp, G

Reference 21

Resolution: verified exact; doi, observed 2026-08-01T07:58:22.248903Z

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Observation 4156efa4-9d5b-42dd-a966-3f89005519ea · outbound

This paper cites Kallivokas, and Gregory J.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Kallivokas, and Gregory J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T07:57:12.653594Z

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Observation 5a4987f3-c752-4793-ad6b-94cc90df4f5e · outbound

This paper cites A fast lattice Green’s function method for solving viscous incompressible flows on unbounded domains.Journal of Computational Physics, 316:360–384, 2016.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A fast lattice Green’s function method for solving viscous incompressible flows on unbounded domains.Journal of Computational Physics, 316:360–384, 2016

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T07:57:12.714168Z

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Observation 92f1d5ef-60f9-4254-8dd5-8e62455490a0 · outbound

This paper cites A fast immersed boundary method for external incompressible viscous flows using lattice Green’s functions.Journal of Computational Physics, 331:257–279, 2017.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry A fast immersed boundary method for external incompressible viscous flows using lattice Green’s functions.Journal of Computational Physics, 331:257–279, 2017

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T07:57:12.767871Z

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Observation 22b6af14-48f9-4cae-89c5-eb4dac7bc736 · outbound

This paper cites an unresolved cited work.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-08-01T07:58:22.099131Z

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Observation aa368fd7-7ca4-42d3-9236-d6e1f0c0ade8 · outbound

This paper cites Borwein, M.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Borwein, M

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T07:57:12.904746Z

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Observation 4c966a8f-c957-4026-9ffd-88ea6c9d8533 · outbound

This paper cites an unresolved cited work.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Unresolved cited work

Reference 27

Resolution: verified exact; doi, observed 2026-08-01T07:58:21.953266Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fb44a1ea-9c1d-4af8-a8e2-859d93bd61a2 · outbound

This paper cites On Galerkin difference methods.Journal of Computational Physics, 313:310–327, 2016.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry On Galerkin difference methods.Journal of Computational Physics, 313:310–327, 2016

Reference 28

Resolution: verified exact; doi, observed 2026-08-01T07:58:21.842680Z

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Observation 8616e93d-4a9c-471f-8282-416862c60636 · outbound

This paper cites an unresolved cited work.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T07:57:13.078628Z

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Observation c58c65d0-da3c-46b6-b6af-e5596af54c72 · outbound

This paper cites Viscous and resistive eddies near a sharp corner.Journal of Fluid Mechanics, 18(1):1–18, 1964.

An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Viscous and resistive eddies near a sharp corner.Journal of Fluid Mechanics, 18(1):1–18, 1964

Reference 30

Resolution: verified exact; doi, observed 2026-08-01T07:58:21.726817Z

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Observation 0216da7d-60dd-4dae-aace-92eccece0dd2 · outbound

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An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Unresolved cited work

Reference 2014

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Observation 2af2e97e-db6a-4bd1-b6e9-003c1863a100 · outbound

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An unfitted boundary algebraic equation method with Calder\'on preconditioning for 2D Stokes flow in irregular geometry Unresolved cited work

Reference 2026

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