Paper Citation Record · LEDGER

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions

As of 15 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:2603.27714.

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pith.paper-citation-record.v1
2603.27714 v2

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measured 52 of 52 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T11:32:47.314651Z

measured 0 of 1 external citation measurements

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52 of 52 outbound references displayed

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Outbound references

Observation c4843c2f-21b4-4d36-b1bd-2b9ce544d4d8 · outbound

This paper cites Finite element exterior calculus: from Hodge theory to numerical stability.Bulletin of the American Mathematical Society, 47(2):281–354, 2010.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Finite element exterior calculus: from Hodge theory to numerical stability.Bulletin of the American Mathematical Society, 47(2):281–354, 2010

Reference 1

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Observation 063744d6-4c79-4556-b901-6f24a1db399c · outbound

This paper cites Arnold.Finite Element Exterior Calculus.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Arnold.Finite Element Exterior Calculus

Reference 2

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Observation c4634922-38f4-4e6e-b1d4-c46302022d94 · outbound

This paper cites Finite element exterior calculus, homological techniques, and applications.Acta Numerica, 15:1–155, 2006.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Finite element exterior calculus, homological techniques, and applications.Acta Numerica, 15:1–155, 2006

Reference 3

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Observation 611a0589-4b6f-40e0-9e01-f7a0fe50ebfe · outbound

This paper cites Boffi, F.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Boffi, F

Reference 4

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Observation fbcde110-f25a-47c2-92e3-7c710526d9ce · outbound

This paper cites A divergence-conforming finite element method for the surface Stokes equation.SIAM Journal on Numerical Analysis, 58(5):2764– 2798, 2020.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions A divergence-conforming finite element method for the surface Stokes equation.SIAM Journal on Numerical Analysis, 58(5):2764– 2798, 2020

Reference 5

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Observation 073efe9e-87e1-497b-a25a-b3d84964bd35 · outbound

This paper cites an unresolved cited work.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Unresolved cited work

Reference 6

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Observation 8e72077d-54ea-488b-8877-96f7d6557b73 · outbound

This paper cites Brenner and Michael Neilan.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Brenner and Michael Neilan

Reference 7

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Observation c6fdb39b-dc51-4b1b-96d5-834395c75d87 · outbound

This paper cites Brenner and Li-Yeng Sung.C0 interior penalty methods for fourth order elliptic boundary value problems on polygonal domains.Journal of Scientific Computing, 22/23:83–118, 2005.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Brenner and Li-Yeng Sung.C0 interior penalty methods for fourth order elliptic boundary value problems on polygonal domains.Journal of Scientific Computing, 22/23:83–118, 2005

Reference 8

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Observation f2bc67d9-5747-44ee-ba95-d0bc190e2881 · outbound

This paper cites Bringmann, Jonas W.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Bringmann, Jonas W

Reference 9

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Observation 574e4f60-daa0-4fe4-8924-bb4c86c43fd5 · outbound

This paper cites Brüning and M.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Brüning and M

Reference 10

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Observation 92005382-5b78-484a-8062-50e6251fad20 · outbound

This paper cites Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions

Reference 11

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Observation 590d6952-8a35-4860-8a48-1b36b7e334e4 · outbound

This paper cites Streamfunction-vorticity for- mulation for incompressible viscid and inviscid flows on general surfaces.arXiv preprint arXiv:2512.20763, 2025.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Streamfunction-vorticity for- mulation for incompressible viscid and inviscid flows on general surfaces.arXiv preprint arXiv:2512.20763, 2025

Reference 12

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Observation be0db27a-5548-45e9-8ba6-d14ea6454e32 · outbound

This paper cites Stability of hodge decompositions in finite element spaces of differential forms in arbitrary dimension.Numerische Mathematik, 107(1):87–106, 2007.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Stability of hodge decompositions in finite element spaces of differential forms in arbitrary dimension.Numerische Mathematik, 107(1):87–106, 2007

Reference 13

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Observation f1d4fecc-5fd2-4795-be1f-d6c72b598299 · outbound

This paper cites Cockburn, J.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Cockburn, J

Reference 14

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Observation 7b439cd5-5573-42d1-a936-65e11b44bf18 · outbound

This paper cites Robust fairing via conformal curvature flow.ACM Transactions on Graphics (TOG), 32(4):1–10, 2013.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Robust fairing via conformal curvature flow.ACM Transactions on Graphics (TOG), 32(4):1–10, 2013

Reference 15

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Observation 2a84bf66-aaae-4bcc-98db-66797dde9fd9 · outbound

This paper cites A tangential and penalty-free finite element method for the surface Stokes problem.SIAM Journal on Numerical Analysis, 62(1):248–272, 2024.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions A tangential and penalty-free finite element method for the surface Stokes problem.SIAM Journal on Numerical Analysis, 62(1):248–272, 2024

Reference 16

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Observation 614feda3-b6ae-4b25-924a-c102e8ff2f6c · outbound

This paper cites A Taylor–Hood finite element method for the surface Stokes problem without penalization.arXiv preprint arXiv:2506.20419, 2025.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions A Taylor–Hood finite element method for the surface Stokes problem without penalization.arXiv preprint arXiv:2506.20419, 2025

Reference 17

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Observation 6d71172e-6ff8-46a8-8af1-9aa0a2194255 · outbound

This paper cites IMA Journal of Numerical Analysis, 44(1):24–57, 2024.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions IMA Journal of Numerical Analysis, 44(1):24–57, 2024

Reference 18

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Observation 4b4b25cc-6697-4a77-9c9d-33be6d1e16d4 · outbound

This paper cites Engel, K.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Engel, K

Reference 19

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Observation 191bf131-a0fa-499f-a9b3-d3a82f7d96f4 · outbound

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Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Unresolved cited work

Reference 20

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Observation 864abba7-341e-4a97-85b3-d64875cce687 · outbound

This paper cites An explicit divergence-free DG method for incompressible flow.Computer Methods in Applied Mechanics and Engineering, 345:502–517, mar 2019.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions An explicit divergence-free DG method for incompressible flow.Computer Methods in Applied Mechanics and Engineering, 345:502–517, mar 2019

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-13T16:47:31.112789Z

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Observation 1ef9c344-43ea-4d51-afea-f18a9bb2485e · outbound

This paper cites Hodge decompositions with mixed boundary conditions and applications to partial differential equations on Lipschitz manifolds.Journal of Mathematical Sciences, 172(3), 2011.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Hodge decompositions with mixed boundary conditions and applications to partial differential equations on Lipschitz manifolds.Journal of Mathematical Sciences, 172(3), 2011

Reference 22

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Observation 6e907475-abd0-45a8-959d-31622994bb94 · outbound

This paper cites Lederer, and Joachim Schöberl.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Lederer, and Joachim Schöberl

Reference 23

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Observation 5518336b-8fde-46f0-ac0e-be105063c0ee · outbound

This paper cites Gross, T.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Gross, T

Reference 24

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Observation f6d355d4-1d08-46cb-8998-1d8d3e9a8c5c · outbound

This paper cites Hansbo, M.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Hansbo, M

Reference 25

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Observation f3f05855-2fcf-4166-9a28-7b30623015df · outbound

This paper cites Geometric variational crimes: Hilbert complexes, finite element exterior calculus, and problems on hypersurfaces.Foundations of Computational Mathematics, 12(3):263–293, 2012.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Geometric variational crimes: Hilbert complexes, finite element exterior calculus, and problems on hypersurfaces.Foundations of Computational Mathematics, 12(3):263–293, 2012

Reference 26

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Observation ff685456-3f0c-4f25-b156-6309f962b9c8 · outbound

This paper cites Many facets of cohomology: Differential complexes and structure-aware formulations.arXiv preprint arXiv:2503.22813, 2025.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Many facets of cohomology: Differential complexes and structure-aware formulations.arXiv preprint arXiv:2503.22813, 2025

Reference 27

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Observation ebc8db19-795d-4765-bd10-20895ac061f0 · outbound

This paper cites Divergence-free decoupled finite element methods for incompressible flow problems, 2025.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Divergence-free decoupled finite element methods for incompressible flow problems, 2025

Reference 28

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Observation bd9e30d3-cdb3-4de8-89aa-8e14b898281b · outbound

This paper cites Divergence-conforming discontinuous Galerkin methods and Cˆ0 interior penalty methods.SIAM Journal on Numerical Analysis, 52(4):1822–1842, 2014.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Divergence-conforming discontinuous Galerkin methods and Cˆ0 interior penalty methods.SIAM Journal on Numerical Analysis, 52(4):1822–1842, 2014

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Observation 1ba592a7-1731-40d6-895b-3d2366c69033 · outbound

This paper cites Lederer, Christoph Lehrenfeld, and Joachim Schöberl.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Lederer, Christoph Lehrenfeld, and Joachim Schöberl

Reference 30

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Observation 64f787ec-0d40-41e6-a1aa-2f93ba740d4f · outbound

This paper cites Hybrid Discontinuous Galerkin Methods for Incompressible Flow Problems.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Hybrid Discontinuous Galerkin Methods for Incompressible Flow Problems

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Observation 95ecb7de-d682-4b04-a9e0-c44a31212112 · outbound

This paper cites High order exactly divergence-free hybrid discontinuous Galerkin methods for unsteady incompressible flows.Computer Methods in Applied Mechanics and Engineering, 307:339–361, 2016.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions High order exactly divergence-free hybrid discontinuous Galerkin methods for unsteady incompressible flows.Computer Methods in Applied Mechanics and Engineering, 307:339–361, 2016

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Observation 20133eaf-f4ff-4c62-aeb4-23403f759f56 · outbound

This paper cites Embedded Trefftz discontinuous Galerkin methods.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Embedded Trefftz discontinuous Galerkin methods

Reference 33

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Observation fd006849-2645-44c1-9577-d1779a4a2334 · outbound

This paper cites Smoothed projections over manifolds in finite element exterior calculus.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Smoothed projections over manifolds in finite element exterior calculus

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Observation efc326a7-6def-4303-9cc6-9031f6437767 · outbound

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Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Unresolved cited work

Reference 35

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Observation be27f86c-57e6-49a4-9435-f0b650482b0b · outbound

This paper cites On the Conforming Trefftz Finite Element Method and Applications.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions On the Conforming Trefftz Finite Element Method and Applications

Reference 36

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Observation 4313d808-82ae-4126-b40b-9afd904e0976 · outbound

This paper cites Oxford university press, 2003.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Oxford university press, 2003

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Observation 301552b7-6890-4bc4-90db-e48f033a649f · outbound

This paper cites A discrete divergence free weak Galerkin finite element method for the Stokes equations.Applied Numerical Mathematics, 125:172–182, 2018.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions A discrete divergence free weak Galerkin finite element method for the Stokes equations.Applied Numerical Mathematics, 125:172–182, 2018

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Observation 1c64c2f8-8b96-4492-8b4f-d380c1bd9595 · outbound

This paper cites Springer International Publishing, Cham, 2017.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Springer International Publishing, Cham, 2017

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Observation 254a62fd-5aab-4e55-a79f-f8ede5cb4abd · outbound

This paper cites Nochetto and Mansur Shakipov.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Nochetto and Mansur Shakipov

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Observation e85acdbc-b0ea-41ef-b35b-adab88f65c2b · outbound

This paper cites Stream function formulation of surface Stokes equations.IMA Journal of Numerical Analysis, 40(1):109–139, 2020.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Stream function formulation of surface Stokes equations.IMA Journal of Numerical Analysis, 40(1):109–139, 2020

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Observation b44112e9-baa9-4058-8dc2-482809d2a58b · outbound

This paper cites Reuther and A.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Reuther and A

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Observation c42179ea-44c2-4342-a416-4836fda5cf9e · outbound

This paper cites Netgen an advancing front 2d/3d-mesh generator based on abstract rules.Computing and Visualization in Science, 1(1):41–52, 1997.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Netgen an advancing front 2d/3d-mesh generator based on abstract rules.Computing and Visualization in Science, 1(1):41–52, 1997

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Observation 007bef0e-fa9b-460b-a97c-d37eb97a25b7 · outbound

This paper cites C++ 11 implementation of finite elements in NGSolve.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions C++ 11 implementation of finite elements in NGSolve

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Observation 65f78401-4fa1-4745-8486-a40218c212a2 · outbound

This paper cites an unresolved cited work.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Unresolved cited work

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Observation 9149b4d8-b65a-4e8d-8650-4049515e7f5e · outbound

This paper cites Commuting quasi-interpolation operators for mixed finite elements.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Commuting quasi-interpolation operators for mixed finite elements

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Observation 119b4c7c-114d-4d85-a7c6-b2d43cbed080 · outbound

This paper cites NGSTrefftz: Add-on to NGSolve for Trefftz methods.Journal of Open Source Software, 7(71):4135, 2022.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions NGSTrefftz: Add-on to NGSolve for Trefftz methods.Journal of Open Source Software, 7(71):4135, 2022

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Observation b46ad026-22d1-462e-afe5-12a306053160 · outbound

This paper cites A robust numerical method for Stokes equations based on divergence-freeH(div) finite element methods.SIAM Journal on Scientific Computing, 31(4):2784–2802, 2009.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions A robust numerical method for Stokes equations based on divergence-freeH(div) finite element methods.SIAM Journal on Scientific Computing, 31(4):2784–2802, 2009

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Observation e0ca8b36-a6cb-40c1-966f-5c84a66f5ff5 · outbound

This paper cites PhD thesis, Free University Berlin, 2006.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions PhD thesis, Free University Berlin, 2006

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Observation 878430b8-ddc3-446d-bfa8-5562d74ea70c · outbound

This paper cites Fluid Cohomology.ACM Trans.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Fluid Cohomology.ACM Trans

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Observation feb74869-8fba-4824-b798-1bb0a212d189 · outbound

This paper cites PhD thesis, JKU Linz, 2006.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions PhD thesis, JKU Linz, 2006

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Observation d4a9aa46-5bb9-4dc7-87ff-82a66d3d3f1e · outbound

This paper cites Viscous Vortex Dynamics on Surfaces.

Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions Viscous Vortex Dynamics on Surfaces

Reference 52

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Pith citing papers

Observation 195544b1-7cfa-4ebc-b955-bcf51430eee9 · inbound

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate cites this paper.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.314651Z

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