A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations | Paper Citation Record

Observation 0aa008cd-9393-4a7d-bb01-d106aa2ef26d · outbound

This paper cites A stable finite element for the stokes equations.Calcolo, 21(4):337–344, 1984.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations A stable finite element for the stokes equations.Calcolo, 21(4):337–344, 1984

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:19:01.278978Z

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Observation 93bfc5ca-08fd-467d-8a44-e15e34388d8e · outbound

This paper cites The finite element method with lagrangian multipliers.Numerische Mathematik, 20(3):179–192, 1973.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations The finite element method with lagrangian multipliers.Numerische Mathematik, 20(3):179–192, 1973

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:19:01.116228Z

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A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Unresolved cited work

Reference 3

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A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Unresolved cited work

Reference 4

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Observation ec138e8f-bce6-4bec-bd09-dcf0bb0d1397 · outbound

This paper cites Local projection stabilization for the Oseen problem and its interpretation as a variational multiscale method.SIAM Journal on Numerical Analysis, 43(6): 2544–2566, 2006.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Local projection stabilization for the Oseen problem and its interpretation as a variational multiscale method.SIAM Journal on Numerical Analysis, 43(6): 2544–2566, 2006

Reference 5

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Observation 99cd6d02-a9e9-4f54-955d-6f742f3380cd · outbound

This paper cites On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers.Publications mathématiques et informatique de Rennes, S4:1–26, 1974.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers.Publications mathématiques et informatique de Rennes, S4:1–26, 1974

Reference 6

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Observation c6ff938d-3cd1-4f62-b92d-6c4c1cffeaee · outbound

This paper cites Springer Science & Business Media, 2012.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Springer Science & Business Media, 2012

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:19:00.460679Z

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Observation d75fb253-2e12-453b-b27f-0baf975e0896 · outbound

This paper cites Choosing bubbles for advection-diffusion problems.Math- ematical Models and Methods in Applied Sciences, 4(4):571–587, 1994.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Choosing bubbles for advection-diffusion problems.Math- ematical Models and Methods in Applied Sciences, 4(4):571–587, 1994

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:19:00.277394Z

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Observation dffd673e-6e52-495a-8237-e9d01f6be04e · outbound

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A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T00:19:00.113232Z

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Observation 6975bfa3-e6e2-484d-be95-72fab80e88ff · outbound

This paper cites Edge stabilization for Galerkin approximations of convection– diffusion–reaction problems.Computer Methods in Applied Mechanics and Engineering, 193(15– 16):1437–1453, 2004.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Edge stabilization for Galerkin approximations of convection– diffusion–reaction problems.Computer Methods in Applied Mechanics and Engineering, 193(15– 16):1437–1453, 2004

Reference 10

Resolution: verified exact; doi, observed 2026-08-05T00:18:54.795448Z

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Observation a4e98fa5-964c-4cc5-9a33-3ded224cc6cf · outbound

This paper cites John Wiley & Sons, 2016.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations John Wiley & Sons, 2016

Reference 11

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A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T00:18:59.968961Z

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Observation 150c1875-961c-4700-8aba-a902bd2741cd · outbound

This paper cites Runge–Kutta discontinuous Galerkin methods for convection-dominated problems.Journal of Scientific Computing, 16(3):173–261, 2001.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Runge–Kutta discontinuous Galerkin methods for convection-dominated problems.Journal of Scientific Computing, 16(3):173–261, 2001

Reference 13

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Observation b1db7ca8-92be-4a87-a081-5dc434d00fc6 · outbound

This paper cites Comparison of some finite element methods for solving the diffusion-convection- reaction equation.Computer methods in applied mechanics and engineering, 156(1-4):185–210, 1998.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Comparison of some finite element methods for solving the diffusion-convection- reaction equation.Computer methods in applied mechanics and engineering, 156(1-4):185–210, 1998

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:59.738403Z

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Observation 5eab655a-fdab-4d0b-a24e-75e89569cafc · outbound

This paper cites an unresolved cited work.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T00:18:59.543496Z

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Observation 77235a6a-7208-418b-867f-ac464e167716 · outbound

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A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Unresolved cited work

Reference 16

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Observation 10bf3aa6-2878-4a6a-8ef2-bcd66d58832d · outbound

This paper cites Conforming and nonconforming finite element methods for solving the stationary stokes equations i.Revue française d’automatique informatique recherche opérationnelle.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Conforming and nonconforming finite element methods for solving the stationary stokes equations i.Revue française d’automatique informatique recherche opérationnelle

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:59.154367Z

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Observation 9f4c8128-0774-4c46-8111-1e66abca78de · outbound

This paper cites John Wiley & Sons, 2003.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations John Wiley & Sons, 2003

Reference 18

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Observation d826f267-4eca-45ed-9c26-29116d61d9c6 · outbound

This paper cites Interior penalty procedures for elliptic and parabolic Galerkin methods.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Interior penalty procedures for elliptic and parabolic Galerkin methods

Reference 19

Resolution: verified exact; doi, observed 2026-08-05T00:18:54.580881Z

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Observation 366f43c4-6559-42f9-ae2b-51005de05903 · outbound

This paper cites An absolutely stabilized finite element method for the stokes problem.Mathematics of computation, 52(186):495–508, 1989.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations An absolutely stabilized finite element method for the stokes problem.Mathematics of computation, 52(186):495–508, 1989

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:58.978454Z

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Observation ae0a3779-b9b0-4bc4-a59a-41ee5ce84057 · outbound

This paper cites Cambridge University Press, 2001.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Cambridge University Press, 2001

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:58.833946Z

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Observation b655b1ea-c0c9-4146-94d1-2670e075c5af · outbound

This paper cites High-re solutions for incompressible flow using the navier-stokes equations and a multigrid method.Journal of computational physics, 48(3):387–411, 1982.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations High-re solutions for incompressible flow using the navier-stokes equations and a multigrid method.Journal of computational physics, 48(3):387–411, 1982

Reference 22

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Observation 08b69b62-47b1-4bad-979d-1d5c1e56f528 · outbound

This paper cites A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows.Journal of Computational Physics, 30(1):76–95, 1979.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows.Journal of Computational Physics, 30(1):76–95, 1979

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:58.671553Z

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Observation 592c2ee1-5303-4743-a2ff-497489fee3b9 · outbound

This paper cites An overview of projection methods for incom- pressible flows.Computer Methods in Applied Mechanics and Engineering, 195(44–47):6011–6045, 2006.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations An overview of projection methods for incom- pressible flows.Computer Methods in Applied Mechanics and Engineering, 195(44–47):6011–6045, 2006

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:58.493360Z

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Observation da80f42e-52f3-44e5-a706-f040d030e6d4 · outbound

This paper cites Heywood and Rolf Rannacher.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Heywood and Rolf Rannacher

Reference 25

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A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Unresolved cited work

Reference 26

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Observation d5a5279f-578c-4b85-9c6b-ae28de0d8716 · outbound

This paper cites A new finite element formulation for computational fluid dynamics: V.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations A new finite element formulation for computational fluid dynamics: V

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:58.181461Z

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Observation b52505d2-291a-4194-aefc-66c174316766 · outbound

This paper cites A new finite element formu- lation for computational fluid dynamics: Viii.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations A new finite element formu- lation for computational fluid dynamics: Viii

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:57.968307Z

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Observation 21ffc710-ac22-4e98-b95b-502e8765e6e3 · outbound

This paper cites Large eddy simulation and the varia- tional multiscale method.Computing and visualization in science, 3(1):47–59, 2000.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Large eddy simulation and the varia- tional multiscale method.Computing and visualization in science, 3(1):47–59, 2000

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:57.827398Z

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Observation ee033e50-31a1-4824-ad5e-2b432ed1ee98 · outbound

This paper cites Springer, 2016.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Springer, 2016

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:57.688642Z

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Observation 351aaa20-f038-4a40-b89c-9d7148de9e1c · outbound

This paper cites Afiniteelementvariationalmultiscalemethodforthenavier–stokes equations.SIAM Journal on Scientific Computing, 26(5):1485–1503, 2005.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Afiniteelementvariationalmultiscalemethodforthenavier–stokes equations.SIAM Journal on Scientific Computing, 26(5):1485–1503, 2005

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:57.536883Z

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Observation 57745e21-987f-431b-9ce2-104d78254b45 · outbound

This paper cites Three dimensional flow around a circular cylinder confined in a plane channel.Physics of fluids, 23(6), 2011.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Three dimensional flow around a circular cylinder confined in a plane channel.Physics of fluids, 23(6), 2011

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:57.353133Z

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Observation 7a0e20aa-2ef3-41fd-9778-bfe6f7a28b24 · outbound

This paper cites A semi-implicit variational multiscale formulation for the incompressible navier-stokes equations via exact adjoint linearization.arXiv preprint arXiv:2512.21773, 2025.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations A semi-implicit variational multiscale formulation for the incompressible navier-stokes equations via exact adjoint linearization.arXiv preprint arXiv:2512.21773, 2025

Reference 33

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This paper cites Flux correction tools for finite elements.Journal of Compu- tational Physics, 175(2):525–558, 2002.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Flux correction tools for finite elements.Journal of Compu- tational Physics, 175(2):525–558, 2002

Reference 34

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Observation fcb22c23-ba4c-4de7-870a-3f283467f7c2 · outbound

This paper cites Blair Perot.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Blair Perot

Reference 35

Resolution: verified exact; raw_fallback, observed 2026-08-05T00:18:55.016390Z

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Observation 56a625ab-5c2d-4a5e-aedb-aa53dab7f0ef · outbound

This paper cites Pope.Turbulent Flows.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Pope.Turbulent Flows

Reference 36

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Observation b44b5474-0758-401f-856b-e05a0941965f · outbound

This paper cites Factorization methods for the nu- merical approximation of Navier–Stokes equations.Computer Methods in Applied Mechanics and Engineering, 188(1–3):505–526, 2000.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Factorization methods for the nu- merical approximation of Navier–Stokes equations.Computer Methods in Applied Mechanics and Engineering, 188(1–3):505–526, 2000

Reference 37

Resolution: verified exact; doi, observed 2026-08-05T00:18:54.363053Z

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Observation 60df0c73-ef87-4ea1-bce9-7075e106b771 · outbound

This paper cites Springer, 1996.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Springer, 1996

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:57.165462Z

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Observation 52603154-2ef1-4dbf-8546-7a9666b74e76 · outbound

This paper cites Ridgway Scott and Michael Vogelius.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Ridgway Scott and Michael Vogelius

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:56.935421Z

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Observation 39178e60-a785-4d0c-b4b6-5078aaad993d · outbound

This paper cites A new finite element formulation for computational fluid dynamics: X.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations A new finite element formulation for computational fluid dynamics: X

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:56.774562Z

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Observation fcf05663-3dfe-488f-8f6a-77de0d07f42d · outbound

This paper cites On error estimates of the projection methods for the navier-stokes equations: second- order schemes.Mathematics of computation, 65(215):1039–1065, 1996.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations On error estimates of the projection methods for the navier-stokes equations: second- order schemes.Mathematics of computation, 65(215):1039–1065, 1996

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:56.626571Z

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Observation 0bc24eb1-4df9-4391-a5d2-03b93b23599f · outbound

This paper cites Flow past a circular cylinder between parallel walls at low reynolds numbers.Ocean Engineering, 37(8-9):757–769, 2010.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Flow past a circular cylinder between parallel walls at low reynolds numbers.Ocean Engineering, 37(8-9):757–769, 2010

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:56.481231Z

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Observation 3e2754bf-36ce-4cdd-b898-8dd3ef15bf5e · outbound

This paper cites A numerical solution of the navier-stokes equations using the finite element technique.Computers & Fluids, 1(1):73–100, 1973.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations A numerical solution of the navier-stokes equations using the finite element technique.Computers & Fluids, 1(1):73–100, 1973

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:56.314624Z

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Observation bb3df3f4-516b-4e18-a3ee-e7a7f0828de7 · outbound

This paper cites Sur l’approximation de la solution des équations de navier–stokes par la méthode des pas fractionnaires.Archive for Rational Mechanics and Analysis, 32:135–153, 1969.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Sur l’approximation de la solution des équations de navier–stokes par la méthode des pas fractionnaires.Archive for Rational Mechanics and Analysis, 32:135–153, 1969

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:56.173157Z

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Observation 8ebd7bc5-920c-4996-884f-fc01df2e0f3e · outbound

This paper cites Tezduyar and Yong J.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Tezduyar and Yong J

Reference 45

Resolution: verified exact; doi, observed 2026-08-05T00:18:54.186460Z

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Observation 4e64dac6-e2ab-4c5a-8581-4b951c5e9b37 · outbound

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A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Unresolved cited work

Reference 46

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Observation 47121b06-83c8-4661-bdf2-bc1bcc2b78f9 · outbound

This paper cites an unresolved cited work.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-05T00:18:55.825859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 726369ee-ffab-445d-9f77-64a3ed328879 · outbound

This paper cites an unresolved cited work.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-05T00:18:55.641574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e8081b43-f175-4145-9567-5bf9c94edc14 · outbound

This paper cites High-order cfd methods: current status and perspective.International Journal for Numerical Methods in Fluids, 72(8):811–845, 2013.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations High-order cfd methods: current status and perspective.International Journal for Numerical Methods in Fluids, 72(8):811–845, 2013

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:55.467624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 381739ee-3518-418e-8781-5fa38544612c · outbound

This paper cites Flow about a circular cylinder between parallel walls.

A Helmholtz-Leray projection method with variational multiscale stabilization for the Navier-Stokes equations Flow about a circular cylinder between parallel walls

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T00:18:55.305388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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