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Paper Citation Record · LEDGER

Gradient-based shape optimization for the reduction of particle erosion in bended pipes

As of 16 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:1908.04712.

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

pith.paper-citation-record.v1
1908.04712 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:37:52.700949Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

52 of 52 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e95885f9-4f8f-4bbe-b046-dca069754122 · outbound

This paper cites An introduction to the space mapping technique.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes An introduction to the space mapping technique

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 78103c8a-1bc5-4c1d-8f01-383d9b2e319a · outbound

This paper cites Space mapping: the state of the art.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Space mapping: the state of the art

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 54bfed11-d65e-440d-8374-2023d78e53fb · outbound

This paper cites Parametric FEM for geometric biomembranes.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Parametric FEM for geometric biomembranes

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c4320639-e0a5-4eb2-9171-24c615e2c423 · outbound

This paper cites Three-dimensional Eulerian approach to droplet impingement simu- lation using fensap-ice, part 1: model, algorithm, and validation.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Three-dimensional Eulerian approach to droplet impingement simu- lation using fensap-ice, part 1: model, algorithm, and validation

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2d6d48e2-2b72-408f-89a4-0af9753b11c2 · outbound

This paper cites A finite element method study of Eulerian droplets impingement models.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes A finite element method study of Eulerian droplets impingement models

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a1bfd36f-2582-4fc5-a9d9-daebf42b1bac · outbound

This paper cites Prediction of aerosol deposition in 90 ◦ bends using LES and an efficient Lagrangian tracking method.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Prediction of aerosol deposition in 90 ◦ bends using LES and an efficient Lagrangian tracking method

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 781778e4-8af8-4392-ad7b-197bb9769020 · outbound

This paper cites Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8ddf517e-3a31-43a2-8b4d-90887203b184 · outbound

This paper cites COMSOL Multiphysics.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes COMSOL Multiphysics

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 25b5c3da-b6c9-46cd-b9af-9b73fed08020 · outbound

This paper cites Note on the motion of fluid in a curved pipe.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Note on the motion of fluid in a curved pipe

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 56bfa19b-a333-4fb3-a2c5-5eb1fdc4f2a3 · outbound

This paper cites Shapes and geometries: metrics, analysis, differential calculus, and optimization.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Shapes and geometries: metrics, analysis, differential calculus, and optimization

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3efceaae-9c5d-496c-9821-cf1b2ec5139e · outbound

This paper cites A quadrature-based moment method for dilute fluid-particle flows.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes A quadrature-based moment method for dilute fluid-particle flows

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c7129794-27ff-4575-99cd-54874315276d · outbound

This paper cites Feedback Petrov-Galerkin methods for convection-dominated problems.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Feedback Petrov-Galerkin methods for convection-dominated problems

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2f80ef07-b3ca-411f-b5cb-5b92edb7343b · outbound

This paper cites Innovative pipe wall design to mitigate elbow erosion: A CFD analysis.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Innovative pipe wall design to mitigate elbow erosion: A CFD analysis

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7c97d41f-3396-426f-9574-70d65ad6955d · outbound

This paper cites Robust mesh deformation using the linear elasticity equations, in: Proceedings of the Fourth Inter- national Conference on Computational Fluid Dynamics 2006, Springer, Berlin.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Robust mesh deformation using the linear elasticity equations, in: Proceedings of the Fourth Inter- national Conference on Computational Fluid Dynamics 2006, Springer, Berlin

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f13b9188-b8bc-45dd-85bf-21623fc7e84f · outbound

This paper cites A regularized Newton method in electrical impedance tomography using shape Hessian information.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes A regularized Newton method in electrical impedance tomography using shape Hessian information

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e69cb83a-aae0-4a36-a3d0-47e7e26516d5 · outbound

This paper cites Theory and Practice of Finite Elements.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Theory and Practice of Finite Elements

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 313b5b78-4a1e-41f1-8cc5-44413a590ffe · outbound

This paper cites First and Second Order Shape Optimization based on Restricted Mesh Deformations.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes First and Second Order Shape Optimization based on Restricted Mesh Deformations

Reference 17

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 81772ee6-d4a6-42ae-a7f9-03a826b17952 · outbound

This paper cites Antierosion in a 90 bend by particle impaction.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Antierosion in a 90 bend by particle impaction

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation bad94df6-3cfe-4bbf-834a-e8286a3e749b · outbound

This paper cites Some observations on the erosion of ductile metals.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Some observations on the erosion of ductile metals

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9b9efa65-1fe2-4b63-bff3-8e874cb25517 · outbound

This paper cites Higher-order moment models for laminar multiphase flows with accurate particle- stream crossing.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Higher-order moment models for laminar multiphase flows with accurate particle- stream crossing

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:53.068634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5a88e9f5-101f-488d-a8b0-4c8b587eee52 · outbound

This paper cites Higher-order quadrature-based moment methods for kinetic equations.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Higher-order quadrature-based moment methods for kinetic equations

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ec2bc240-89a5-4f7b-a6b8-436f16f19fb8 · outbound

This paper cites Shape optimization of an electric motor subject to nonlinear magnetostatics.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Shape optimization of an electric motor subject to nonlinear magnetostatics

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:53.050718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6a4d0e5d-94bb-46ea-a5d1-b403955a741f · outbound

This paper cites Optimization with PDE constraints.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Optimization with PDE constraints

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 79146b34-2a4c-4983-aaaa-24335de4ecdd · outbound

This paper cites Shape optimization of a polymer distributor using an eulerian residence time model.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Shape optimization of a polymer distributor using an eulerian residence time model

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:53.031434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation dc3b0152-9ce7-41c3-91a8-1c6303db3cbb · outbound

This paper cites Eulerian modeling of in-flight icing due to supercooled large droplets.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Eulerian modeling of in-flight icing due to supercooled large droplets

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:53.021172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a6841d12-33af-42d2-8d83-09d66b0ad644 · outbound

This paper cites Pneumatic conveying design guide.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Pneumatic conveying design guide

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:53.011475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation bce84e41-f2ff-4acf-bbc6-d2f8c39f740e · outbound

This paper cites The impact angle dependence of erosion damage caused by solid particle impact.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes The impact angle dependence of erosion damage caused by solid particle impact

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:53.001136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation baf24725-85f8-45f5-af99-7b2470632b70 · outbound

This paper cites Practical estimation of erosion damage caused by solid particle impact: Part 1: Effects of impact parameters on a predictive equation.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Practical estimation of erosion damage caused by solid particle impact: Part 1: Effects of impact parameters on a predictive equation

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.990957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a1afa833-49aa-4fae-bebf-e4b7b693b5ea · outbound

This paper cites Overview of the incompressible Navier–Stokes simulation capabilities in the MOOSE framework.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Overview of the incompressible Navier–Stokes simulation capabilities in the MOOSE framework

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.981309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 72eac6c7-a7ba-430f-860b-57c0e5a3d456 · outbound

This paper cites Inertial particle deposition in a 90 ◦ laminar flow bend: an Eulerian fluid particle approach.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Inertial particle deposition in a 90 ◦ laminar flow bend: an Eulerian fluid particle approach

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.970776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c16f0aad-178f-4616-87d7-cec46b273f1f · outbound

This paper cites Experimental study of particle deposition in bends of circular cross section.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Experimental study of particle deposition in bends of circular cross section

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.960778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 57458efa-3209-4a80-88de-283d208e8db8 · outbound

This paper cites Numerical solution scheme for inert, disperse, and dilute gas-particle flows.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Numerical solution scheme for inert, disperse, and dilute gas-particle flows

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.951305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a4e68776-c0c9-466f-95b1-290564ec9e06 · outbound

This paper cites Reducing bend erosion with a twisted tape insert.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Reducing bend erosion with a twisted tape insert

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.940851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.631132Z digest=sha256:75d1476d987fb84ce115551a703a9c2e5d74352f414f829231af47b2a77144fd

Observation 800b5e41-417e-417c-8a26-ee2bb14fcc9e · outbound

This paper cites Two-phase flows - second-order schemes and boundary conditions.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Two-phase flows - second-order schemes and boundary conditions

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.930688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.634433Z digest=sha256:ec2dad8cf2a7818c428fbd8dca38f68a7f99ff8880fcca0eedb434c9aed55770

Observation 129cad0e-c877-48e4-bae1-ece25e0805cb · outbound

This paper cites A drag coefficient correlation.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes A drag coefficient correlation

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.921027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.638361Z digest=sha256:4d7a3c39c413dc277b4a88b57d71df46ddfc6732b27700a485d7fd9154a4f93d

Observation 4c3a1a29-9a82-4d30-b0e0-a4f478331b4c · outbound

This paper cites Impulse response approximations of discrete shape Hessians with application in CFD.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Impulse response approximations of discrete shape Hessians with application in CFD

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.911363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.642034Z digest=sha256:7bb28d90a85b4d7816cbbb2ce5371ef4fcd64c6ad50c90fbb0943690c5bce8fe

Observation 21b14e05-5115-4692-86bd-297237d2b014 · outbound

This paper cites Shape derivatives for general objective functions and the incompressible Navier-Stokes equations.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Shape derivatives for general objective functions and the incompressible Navier-Stokes equations

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.902300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.645376Z digest=sha256:98d39548f97cb94587ec623e751f473a71585724fbf9cbf79085185bbf687613

Observation ffa10b32-961f-4992-adc3-35ed68ca47e7 · outbound

This paper cites Computational comparison of surface metrics for PDE constrained shape optimization.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Computational comparison of surface metrics for PDE constrained shape optimization

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.892622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.649103Z digest=sha256:8a4ca296411163cc55f3333b388711c6e3a69021fb3217f48c5629f55723f1ca

Observation 9733bbb7-9eec-42b1-93ce-225dea7e092f · outbound

This paper cites Structured inverse modeling in parabolic diffusion problems.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Structured inverse modeling in parabolic diffusion problems

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.882903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.652784Z digest=sha256:f7b95306e7e9819c3b2bf9ffabc1c88b9a98e5032efebd80acfb4c4467a9eeb4

Observation 10f17c01-d872-4e5c-82b3-116daed28231 · outbound

This paper cites Differentiation with respect to the domain in boundary value problems.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Differentiation with respect to the domain in boundary value problems

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.873662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.656442Z digest=sha256:cb1b4eb649119579cd84efb16e96b5b242766eb493ab9b77f45e85894cdb36ff

Observation 377d6099-088d-4aa5-bbbe-fd0701b4a2fa · outbound

This paper cites The calculation of inertial particle transport in dilute gas-particle flows.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes The calculation of inertial particle transport in dilute gas-particle flows

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.863834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.659923Z digest=sha256:31336f7fe22c588646669d2872531725aac54c095baea938b2a19b60eed239d9

Observation 72584415-14ef-4f68-b07f-d48c8b025186 · outbound

This paper cites Introduction to shape optimization: shape sensitivity analysis.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Introduction to shape optimization: shape sensitivity analysis

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.854699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.663329Z digest=sha256:b0a6209f958ad5c7e3696bdc3498342a7cbd89c498b99ef1c582f4c720a7fda6

Observation d1ca74c3-128b-4f2b-99ba-8dea61fc69c4 · outbound

This paper cites Minimax Lagrangian approach to the differentiability of nonlinear PDE constrained shape functions without saddle point assumption.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Minimax Lagrangian approach to the differentiability of nonlinear PDE constrained shape functions without saddle point assumption

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.845605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.666840Z digest=sha256:0fd7caa94252a5bd74906752c1135ef9c0cda1b65ed63c85edcf911527fb2e9f

Observation 5cf67d01-7737-4c20-ba36-d6a09f79ef62 · outbound

This paper cites Optimale Steuerung partieller Differentialgleichungen.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Optimale Steuerung partieller Differentialgleichungen

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.835711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.670686Z digest=sha256:dca3d97b1b7332660c506600cef1b4f10293fd584643412f4273de548cf76410

Observation 4acc2917-7fd7-4ce2-84a4-686fc2ed5757 · outbound

This paper cites Numerical study of particle deposition in bends of a circular cross-section-laminar flow regime.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Numerical study of particle deposition in bends of a circular cross-section-laminar flow regime

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.826033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.674784Z digest=sha256:ac726612d420d2e866a13912effcab4739d263eaba74f13d8ded9bafabd7af6e

Observation 2cb30312-3d4b-4d29-949c-a185be8a650b · outbound

This paper cites Analysis of particle transport and deposition of micron-sized particles in a 90 ◦ bend using a two-fluid Eulerian–Eulerian approach.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Analysis of particle transport and deposition of micron-sized particles in a 90 ◦ bend using a two-fluid Eulerian–Eulerian approach

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.815971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.678834Z digest=sha256:4a85bfaaeb43c1516832285ae7e22f1dd27ebf3a576f1e08d48280aa8088ed6d

Observation 059569f6-acdd-42a4-a66b-663377cad649 · outbound

This paper cites Riemannian geometry.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Riemannian geometry

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.805537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.682395Z digest=sha256:fa568c841a411338c74119f54a6e406b0503961ac07bc810e570ac175b71b4a9

Observation b4e82d21-ca0a-4a8d-a64c-8bc2b04a87a7 · outbound

This paper cites Numerical optimization.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Numerical optimization

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.794758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.685960Z digest=sha256:b61ddc53abfb66ee4eb5695d2b91aa067a7bf83be37f18845eae6b068ace3e42

Observation f087b407-1708-40f0-b238-5458d6f3104a · outbound

This paper cites The Schur complement and its applications.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes The Schur complement and its applications

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.783545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.689797Z digest=sha256:5ded218fe62d4105523de1fe444b96177f3e248e38e08b2b33cc1fc26e735beb

Observation 2b78538b-de11-46c3-812e-cca26cf352d1 · outbound

This paper cites Comparison of computed and measured particle velocities and erosion in water and air flows.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Comparison of computed and measured particle velocities and erosion in water and air flows

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.773374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.693760Z digest=sha256:d455c18f7482db06616f28369b31f70fe2f2872382ea262ec50d053ffc825722

Observation 2e3f3a62-656e-4b77-bef2-72b4da920f3b · outbound

This paper cites Numerical analysis of mitigating elbow erosion with a rib.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Numerical analysis of mitigating elbow erosion with a rib

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.760911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.697200Z digest=sha256:035eb97548327d343c6934eeb6dcdeff8540362d2d9e50fab712df58c613a978

Observation 9f6b33c7-8721-4747-b19e-fd6db4d6249f · outbound

This paper cites Weakly differentiable functions: Sobolev spaces and functions of bounded variation.

Gradient-based shape optimization for the reduction of particle erosion in bended pipes Weakly differentiable functions: Sobolev spaces and functions of bounded variation

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:37:52.750222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:37:52.700949Z digest=sha256:adea42e5f85f0be108c98696f8150fd685e0b43be854ca6773b303ea8ec8228f

Pith citing papers

No inbound Pith citation observations are available.