Paper Citation Record · LEDGER

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

As of 11 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.26664.

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pith.paper-citation-record.v1
2607.26664 v1

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measured 29 of 29 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T11:32:47.662636Z

measured 29 of 29 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

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measured 0 of 1 external citation measurements

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Reference resolution

29 of 29 outbound references displayed

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Outbound references

Observation 730a2ed5-777c-430f-b02e-7973427fae11 · outbound

This paper cites Olshanskii, and Arnold Reusken.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Olshanskii, and Arnold Reusken

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:45.577908Z

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Observation 57318a95-d225-40f8-8706-c631237a7dd8 · outbound

This paper cites Finite element methods for surface PDEs.Acta Numerica, 22:289–396, 2013.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Finite element methods for surface PDEs.Acta Numerica, 22:289–396, 2013

Reference 2

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Observation 24db4f09-92b2-413a-96ff-830614d83f94 · outbound

This paper cites Olshanskii, Annalisa Quaini, Arnold Reusken, and Vladimir Yushutin.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Olshanskii, Annalisa Quaini, Arnold Reusken, and Vladimir Yushutin

Reference 3

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Observation dec070ea-2590-4d4f-83d2-948a5ff46e00 · outbound

This paper cites Olshanskii, Arnold Reusken, and Alexander Zhiliakov.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Olshanskii, Arnold Reusken, and Alexander Zhiliakov

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:46.031542Z

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Observation 36e464e1-170e-4e60-b0fd-ed36bcbc128d · outbound

This paper cites an unresolved cited work.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:46.234505Z

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Observation 3b5eb3b3-573a-4871-bf2e-ff3e361c4eea · outbound

This paper cites an unresolved cited work.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:46.465466Z

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Observation ea0c9572-30e1-4ef6-a920-2833286c220a · 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.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate A divergence-conforming finite element method for the surface Stokes equation.SIAM Journal on Numerical Analysis, 58(5):2764–2798, 2020

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:46.612854Z

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Observation dfae296b-4b30-45d5-a256-5ad10633356d · outbound

This paper cites Divergence-free tangential finite ele- ment methods for incompressible flows on surfaces.International Journal for Numerical Methods in Engineering, 121(11):2503–2533, 2020.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Divergence-free tangential finite ele- ment methods for incompressible flows on surfaces.International Journal for Numerical Methods in Engineering, 121(11):2503–2533, 2020

Reference 8

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Observation f9f99106-c855-4c01-b1e1-5d35ed0091e9 · 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.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate A tangential and penalty-free finite element method for the surface Stokes problem.SIAM Journal on Numerical Analysis, 62(1):248–272, 2024

Reference 9

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Observation b4427efa-ae12-475c-9d70-5a70fb2fcd11 · outbound

This paper cites A Taylor–Hood finite element method for the surface Stokes problem without penalization.SIAM Journal on Numerical Analysis, 64(2):565–600, 2026.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate A Taylor–Hood finite element method for the surface Stokes problem without penalization.SIAM Journal on Numerical Analysis, 64(2):565–600, 2026

Reference 10

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Observation 12c5ffbb-17ed-4b08-b66f-0741bb936bd6 · outbound

This paper cites Surface Stokes Without Inf-Sup Condition.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Surface Stokes Without Inf-Sup Condition

Reference 11

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Observation 3e5aabd0-a392-401d-89b2-9aaa1799d4bb · outbound

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

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Stream function formulation of surface Stokes equations.IMA Journal of Numerical Analysis, 40(1):109–139, 2020

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.308787Z

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

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

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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Observation ee3fbf78-cc30-478c-a2db-f35d0f97c75e · outbound

This paper cites Finite element error analysis of surface Stokes equations in stream function formulation.ESAIM: Mathematical Modelling and Numerical Analysis, 54(6):2069–2097, 2020.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Finite element error analysis of surface Stokes equations in stream function formulation.ESAIM: Mathematical Modelling and Numerical Analysis, 54(6):2069–2097, 2020

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.333056Z

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Observation f40fa64c-6c79-4352-8443-214b12185f00 · outbound

This paper cites AC0 interior penalty method for the stream function formulation of the surface Stokes problem.ESAIM: Mathematical Modelling and Numerical Analysis, 59(2):1177–1211, 2025.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate AC0 interior penalty method for the stream function formulation of the surface Stokes problem.ESAIM: Mathematical Modelling and Numerical Analysis, 59(2):1177–1211, 2025

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.436538Z

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Observation d291b4ea-45bc-4608-b142-0de25713df80 · outbound

This paper cites A continuous/discontinuous Galerkin method and a priori error estimates for the biharmonic problem on surfaces.Mathematics of Computation, 86(308):2613–2649, 2017.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate A continuous/discontinuous Galerkin method and a priori error estimates for the biharmonic problem on surfaces.Mathematics of Computation, 86(308):2613–2649, 2017

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.577000Z

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Observation 2e163336-d216-4a7a-8acb-3829bb2a31e3 · outbound

This paper cites Continuous linear finite element method for biharmonic problems on surfaces.Journal of Scientific Computing, 107:39, 2026.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Continuous linear finite element method for biharmonic problems on surfaces.Journal of Scientific Computing, 107:39, 2026

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.579447Z

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Observation 93f353cf-2c86-4139-aac0-9f9246317592 · outbound

This paper cites Second order splitting for a class of fourth order equations.Mathematics of Computation, 88(320):2605–2634, 2019.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Second order splitting for a class of fourth order equations.Mathematics of Computation, 88(320):2605–2634, 2019

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.581369Z

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Observation 0bebcc87-7ba5-4d32-a2b0-6ebb9ef8c3fd · outbound

This paper cites A mixed finite element method with piecewise linear elements for the biharmonic equation on surfaces.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate A mixed finite element method with piecewise linear elements for the biharmonic equation on surfaces

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.616909Z

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Observation d01abe5a-4b17-4bfe-8261-67887c5189e9 · outbound

This paper cites The Kirchhoff plate equation on surfaces: the surface Hellan–Herrmann–Johnson method.IMA Journal of Numerical Analysis, 42(4):3094–3134, 2022.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate The Kirchhoff plate equation on surfaces: the surface Hellan–Herrmann–Johnson method.IMA Journal of Numerical Analysis, 42(4):3094–3134, 2022

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.644164Z

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Observation 62f5891f-65c4-4355-b082-4ec01331735d · outbound

This paper cites an unresolved cited work.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.646534Z

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Observation 1f1649ab-9ed0-47b2-b223-6ef6ff40ca0b · outbound

This paper cites The Morley element for fourth order elliptic equations in any dimensions.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate The Morley element for fourth order elliptic equations in any dimensions

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.648575Z

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Observation 6c670e98-f1ca-44ba-ae8a-ab2ac5fad3bb · outbound

This paper cites Astabilizednonconformingfiniteelementmethodforthesurfacebiharmonic problem.SIAM Journal on Numerical Analysis, 63(4):1642–1665, 2025.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Astabilizednonconformingfiniteelementmethodforthesurfacebiharmonic problem.SIAM Journal on Numerical Analysis, 63(4):1642–1665, 2025

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.650646Z

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Observation bc69621e-00dc-45d0-a376-cf579d39f2b6 · outbound

This paper cites an unresolved cited work.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.652750Z

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Observation d8aa1034-7542-42e5-8316-1a3094387a1e · outbound

This paper cites Higher-order finite element methods and pointwise error estimates for elliptic problems on surfaces.SIAM Journal on Numerical Analysis, 47(2):805–827, 2009.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Higher-order finite element methods and pointwise error estimates for elliptic problems on surfaces.SIAM Journal on Numerical Analysis, 47(2):805–827, 2009

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.654729Z

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Observation 85ebcf5c-e96d-40c7-8b17-5ded24d821ad · outbound

This paper cites Finite element methods for the Laplace– Beltrami operator.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Finite element methods for the Laplace– Beltrami operator

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.656731Z

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Observation 3f72b117-33cc-4e89-b74f-1196dae6f080 · outbound

This paper cites Springer, 1988.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Springer, 1988

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.658647Z

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Observation 0670830f-28fe-46c7-b1aa-48ef900b2fd2 · outbound

This paper cites Analysis of finite element methods for vector laplacians on surfaces.IMA Journal of Numerical Analysis, 40(3):1652–1701, 2020.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate Analysis of finite element methods for vector laplacians on surfaces.IMA Journal of Numerical Analysis, 40(3):1652–1701, 2020

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.660650Z

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Observation ee38bfe8-f924-47b5-af6f-9624c63bde76 · outbound

This paper cites iFEM: an innovative finite element methods package in MATLAB.Preprint, University of Maryland, 2008.

Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate iFEM: an innovative finite element methods package in MATLAB.Preprint, University of Maryland, 2008

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T11:32:47.662636Z

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