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Paper Citation Record · LEDGER

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors

As of 21 August 2026, this Paper Citation Record lists 100 of 113 outbound references and 1 inbound Pith citation observation for arXiv:2606.29349.

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

pith.paper-citation-record.v1
2606.29349 v1

Coverage vector

measured 100 of 113 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T02:00:11.029667Z

measured 101 of 101 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T05:18:38.360308Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-08T05:18:39.131889Z

Reference resolution

100 of 113 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved99
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f533a34e-2729-49b1-b6ba-c4633afcdabf · outbound

This paper cites an unresolved cited work.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Unresolved cited work

Reference 1

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:0867fe8f54c8ec74bff50bc34a8cde526f9f3bea909979007e4f3e145f8666e8

Observation 96c502f1-fce7-4cc3-a564-5be7659a2e26 · outbound

This paper cites 1998 , publisher=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 1998 , publisher=

Reference 2

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:e1d9e7c435bfa5e213312fd197a6300b830dd2d140d385f442223f1a30fc14bc

Observation 7046ed32-4acf-4eed-b67d-713f401a8b55 · outbound

This paper cites 2020 , publisher=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 2020 , publisher=

Reference 3

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:23b14a21573b07e21fd2a1547610f9d1f7abcd3351a17a16a8b66a55e7ba9c95

Observation 65c88be0-a1c9-41cd-9556-3698a4cf0c17 · outbound

This paper cites Adjoint Method versus Physics-Informed Neural Networks in.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Adjoint Method versus Physics-Informed Neural Networks in

Reference 4

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:c8544a6352f750a213b5c6778d2f53c9b4fd435fe815996bb0b0d9006ca88018

Observation 7cbd54c3-9b68-4ecb-8e53-a19ebcc4d3ca · outbound

This paper cites Inverse Problems , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Inverse Problems , volume=

Reference 5

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:68a319d814bd3a049317772b47e5d21bf6697fab0b9b35150c1ecfc4a5f97576

Observation b0b08a62-8314-4ecb-8eef-c67992c1d9d4 · outbound

This paper cites Structural and Multidisciplinary Optimization , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Structural and Multidisciplinary Optimization , volume=

Reference 6

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:eb42bc39348472d12e34785e18791785536816b4efb738a3e16e1f8475781022

Observation 4e60dab2-e8bf-40b1-b7a1-3a35bab695ac · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computer Methods in Applied Mechanics and Engineering , volume=

Reference 7

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:1f8761e88f75a273d7b8ce94588fd18a40619241d50dcb32d15a285bb1a1fa11

Observation 3510eb4f-f3f2-4fdd-9d60-c07f24c75cf2 · outbound

This paper cites Computers & Structures , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computers & Structures , volume=

Reference 8

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:59cb5b21d030d18305f35c02d35638591fc3fc50837afbc5ccfd92fc61c7030a

Observation 44193d66-781b-416c-8e53-4898623ffe95 · outbound

This paper cites Mechanical Systems and Signal Processing , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Mechanical Systems and Signal Processing , volume=

Reference 9

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:636516568ea23d213cf47dd3344033560421bfce8792bdd4abd702092fa9b7d7

Observation e52f2c44-5e61-4e21-875e-a94c80f9155d · outbound

This paper cites Sensors , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Sensors , volume=

Reference 10

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:227a05186ba04c0d1a9687808544f7bef0b043a7d4acf1212845e4b4b415bba6

Observation 4aa5fd54-23b0-4a0b-89ca-6b77f9f06936 · outbound

This paper cites International journal for numerical methods in engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors International journal for numerical methods in engineering , volume=

Reference 11

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:d0a3d0e3c943bae0d103cf98d9548ba90840134dd7cb57d9d741e0dba02de7bb

Observation 66e9b50a-70cb-4217-9676-5a325a31b401 · outbound

This paper cites Engineering Failure Analysis , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Engineering Failure Analysis , volume=

Reference 12

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:968254ea4736e2f5d2df4b470fafa8665df7fbe40c5726e5f1ba3b183985dd8b

Observation 299a21a4-245e-45fb-a44f-8972ae95c5fe · outbound

This paper cites 2004 , publisher=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 2004 , publisher=

Reference 13

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:5294492c955fbcc016cd868461e24b8d034b11ab27a8140cd0e8715fa76f3865

Observation a6c4eb41-bf84-4869-b62c-24ab8eed61be · outbound

This paper cites Journal of applied polymer science , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of applied polymer science , volume=

Reference 14

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:5c2f1c1055c20129812f719de613c4180a73c81f323a93e6aa207b51afcebed3

Observation 073917fe-8070-41e0-9213-a7f1416f5147 · outbound

This paper cites Journal of the Mechanics and Physics of Solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of the Mechanics and Physics of Solids , volume=

Reference 15

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:977901b5fe195d373ae328a358a7157e14721c77cd2cefef14733003896eef51

Observation c53e9c0a-58d8-4b68-84b3-3621323ecf32 · outbound

This paper cites ACS nano , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors ACS nano , volume=

Reference 16

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:de78e595a65f6fc819ab9d2ca93f2e12b4506d2303ed1c3db4135701536ab151

Observation 5a3c6f4d-95c9-4fa7-83e1-aebcf93c0cc6 · outbound

This paper cites Progress in Materials Science , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Progress in Materials Science , volume=

Reference 17

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:812bddea0e39d27ff1a9a06c68099ebfaf29925e20d84ebc62eec40dfc8c0834

Observation 109d6141-451b-404e-91d1-80045662ca30 · outbound

This paper cites Journal of The Electrochemical Society , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of The Electrochemical Society , volume=

Reference 18

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:f470af3816e2080bd15f3821dee0bea03ae753c170ec52fcb6e3f0b684ff7078

Observation fb8a6403-71a8-4255-b9ed-567d3915eaea · outbound

This paper cites Chemical reviews , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Chemical reviews , volume=

Reference 19

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:1f480f497f0bffcef82bfe87bb9371525fb0f9277c9564c01418f7e87520bffa

Observation 27d6df96-4952-40d2-b47d-3b977b5b9af7 · outbound

This paper cites Nature Energy , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Nature Energy , volume=

Reference 20

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:e9c2600d6bfbb8033d649362388ee170cf617bc927bac21e981ed108be592080

Observation 209b1398-1ca6-41aa-86ac-ba6acc5b2a85 · outbound

This paper cites Acta Materialia , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Acta Materialia , volume=

Reference 21

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:aa3356f1a538bef00992f963c09e36e1ec492d10da0709e26165f0369c6d034e

Observation 2feccdfe-0951-4824-8e0d-49d7acbd0c10 · outbound

This paper cites Engineering Fracture Mechanics , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Engineering Fracture Mechanics , volume=

Reference 22

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:e9951d47b277ac88372053fbd4aaedfbe961d88a3c4b973cae2ebaa88bda4643

Observation 9f10fc74-5413-4e6a-b1dc-855c5500b18a · outbound

This paper cites Composite Structures , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Composite Structures , volume=

Reference 23

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:9f1cd7c43076b0c9935cb5b93c0d8aab4f804755bc3e5c0559091687d29db3c9

Observation a153eec8-57e7-4937-bb75-9d79b6ad0a8b · outbound

This paper cites International Journal of Fracture , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors International Journal of Fracture , volume=

Reference 24

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:773425c5c64917fea62714c63d67449af0ed7cca11fdbb30fb7c72ef9c7ae217

Observation 66f4a7e4-c09f-414e-922c-f45cfb4042a1 · outbound

This paper cites Computer methods in applied mechanics and engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computer methods in applied mechanics and engineering , volume=

Reference 25

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:a15a0a372a6801886d054ab3f97fa2fe4f9c50e5ed08c11d4a2066dd701cebd6

Observation b6e8eb6b-7c78-4317-9d53-78d5e00c0438 · outbound

This paper cites Journal of the Mechanics and Physics of Solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of the Mechanics and Physics of Solids , volume=

Reference 26

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:45bf8ea2754c409f47fef73fd8539ad5f585804892668488a73308a2d4d42b8f

Observation 5c4f1e14-70c3-4afa-b986-178faa29b675 · outbound

This paper cites International Journal of Mechanical Sciences , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors International Journal of Mechanical Sciences , volume=

Reference 27

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:81b3509812f61568f6234a949ece86cddbb4b7924215177e1434fc27e478f45e

Observation aaf8a0a6-c5fe-41e3-85b7-c1a56525914c · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computer Methods in Applied Mechanics and Engineering , volume=

Reference 28

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:3c7c931ddfa72da9480b2d3fb3a9f449aa16166ac0604b33e14ef511cfb4b832

Observation 4c6118be-33f3-4532-aee1-330ff5648213 · outbound

This paper cites Advances in applied mechanics , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Advances in applied mechanics , volume=

Reference 29

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:117598103d3a8b741e382b0f9e3aa64a6c43ccac3100b2c5a8f769815b77d1ef

Observation 24792f5e-88ca-48a1-b8bb-30950eac4e96 · outbound

This paper cites Journal of the Mechanics and Physics of Solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of the Mechanics and Physics of Solids , volume=

Reference 30

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:9c80f888be4aadf7a54d7f087371396668d12f2dc2bb6437cab1e18d24556102

Observation c21b274d-51ae-4818-bc58-b675b1e7641e · outbound

This paper cites Journal of Vacuum Science & Technology A , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of Vacuum Science & Technology A , volume=

Reference 31

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:d642a68f0ea13ca89c9c3c4f5df3f5dc0527b51b070389af92949acaf5ce16b5

Observation 4b41e3fb-658e-4f2b-b1c2-b746546e5523 · outbound

This paper cites Acta materialia , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Acta materialia , volume=

Reference 32

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:c8fe734f1be1017f6b4e6df141f14b3fb98b9fe649639257d6737d20998fe450

Observation b0b962f5-37d9-47da-b44c-c2a860e2edbc · outbound

This paper cites Journal of Materials Research , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of Materials Research , volume=

Reference 33

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:15b67ef4ec3fa57160ff9e414730929d66bbc00f95de16bf21e5e6ef58b33f13

Observation 64e107cc-5e83-47eb-af24-0691eae61cff · outbound

This paper cites Applied surface science , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Applied surface science , volume=

Reference 34

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Observation b4eb1b64-4934-4745-bb0a-e432c8687b1c · outbound

This paper cites Theoretical and Applied Fracture Mechanics , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Theoretical and Applied Fracture Mechanics , volume=

Reference 35

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:0dcfaff2612003f1a3bd1c7097b1bbd664b5c187d7d0a54e557b3ba1ae41df31

Observation 8fb6279b-b671-4b04-9333-f299c582da72 · outbound

This paper cites Journal of the Mechanics and Physics of Solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of the Mechanics and Physics of Solids , volume=

Reference 36

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:f20d221675b55b36b0925065ed83291f92cd1392228086cf3e0054777780a39d

Observation 750a65fa-f201-4a6b-b352-834ad659b2b3 · outbound

This paper cites International Journal of Pressure Vessels and Piping , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors International Journal of Pressure Vessels and Piping , volume=

Reference 37

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:89d913af53f49590373deac407e8095cc28024cae434514c0a48c4bde89744b6

Observation 4c10c4e5-fae0-4d19-8aac-0b77831aa7d3 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computer Methods in Applied Mechanics and Engineering , volume=

Reference 38

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:a731acba26b661e9f6efaa4eedee9cf7179b984b95a245f7855faa6ffe2b9275

Observation 79761333-23bc-4191-a49d-04c2a3e26bcd · outbound

This paper cites International Journal of Engineering Science , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors International Journal of Engineering Science , volume=

Reference 39

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:4c3db65914594c9e9a474a60cce9d87706a179da272904dfc9b80cc99694b632

Observation 226484c6-4600-43f9-805b-7b5fc0e367e2 · outbound

This paper cites Journal of the Mechanics and Physics of Solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of the Mechanics and Physics of Solids , volume=

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:eb1be50c86d96791dea7b361800ea64009b8cee5b698b7e6a6dc0e87a883f5bb

Observation 65d335c9-bd6a-4cf3-9a45-53044262ef8e · outbound

This paper cites International journal for numerical methods in engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors International journal for numerical methods in engineering , volume=

Reference 41

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:acf86f7bab210dfc764a64f973e2fe6d8dba590c54977f1e930077296da2905c

Observation 8392ace0-1806-49b7-aa9b-046ae5374ff0 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computer Methods in Applied Mechanics and Engineering , volume=

Reference 42

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:06b1567eace96bd2e507c33b1df1782a7c44d12fde413990ddaf6bcd60988f1f

Observation 944aea58-9a32-47d2-b9e6-76dc9042c7ef · outbound

This paper cites Philosophical Transactions of the Royal Society A , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Philosophical Transactions of the Royal Society A , volume=

Reference 43

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:649fcdde72d1291944c2322c3c167e1d2cf7b026c1bbdb57c39163a46bd8230f

Observation 40ca160a-3b2f-4181-adda-24ca27a42326 · outbound

This paper cites Engineering Fracture Mechanics , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Engineering Fracture Mechanics , volume=

Reference 44

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:29e81936927718a717de1df3b37f08a9aaf8c4a72d78832cb5ec245b8b3b639a

Observation 6a7bfed3-655b-46bd-ab88-c7cc59ba7da3 · outbound

This paper cites 2000 , publisher=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 2000 , publisher=

Reference 45

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:e7ab3756de5f9b33c8d2052245069e237e12cc90c08cb31139c55d55ef70d614

Observation aa9c753b-816e-4077-9ec6-e8fcfb6ca836 · outbound

This paper cites Journal of the Mechanics and Physics of Solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of the Mechanics and Physics of Solids , volume=

Reference 46

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:81a9c4a981e331a8eec405dad5e46482490488895f771e541abf66649479c608

Observation 9d899bc2-c53f-4e4d-8acd-e87507c1215b · outbound

This paper cites Soft Matter , year=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Soft Matter , year=

Reference 47

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:91e1c19da8612879f7fee205b52b4a34367c0090f12aa0203112478adec66dd5

Observation affa1aee-7593-4820-abc4-276d6d12bb20 · outbound

This paper cites Extreme Mechanics Letters , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Extreme Mechanics Letters , volume=

Reference 48

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:9f4d5081fd2aca6b29e70ca0290c38099d401d1f666628090e79d47fb51fb44d

Observation 696c01ef-a14b-462a-b907-f3085b79e876 · outbound

This paper cites The phenomena of rupture and flow in solids , author=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors The phenomena of rupture and flow in solids , author=

Reference 49

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:2f5543cb9911fbb1cd237698f5b84e8d194e3530f7c24d82be95319bb53843eb

Observation 2e7861f9-4f3b-4092-bc69-6093ce0c8c1f · outbound

This paper cites an unresolved cited work.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Unresolved cited work

Reference 50

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:efee67078f13874edd6a107a44ad77e4c130b63274d4144063cd75f0beb0b785

Observation ae7bbab5-38ad-49ec-b718-7fc838061ff0 · outbound

This paper cites Journal of the Mechanics and Physics of Solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of the Mechanics and Physics of Solids , volume=

Reference 51

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:9d554f77ba0bd13df8de725be93001dc4c38973bf1501b247c8f3224d2f6981f

Observation 78ce34e3-3236-45f2-84ba-3d8382860024 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computer Methods in Applied Mechanics and Engineering , volume=

Reference 52

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:7471787c867f2485402693e282ff1ad41bd2776443aa063cfbce08434e87a392

Observation 11ae2452-98d4-491b-a88f-03dc1bab3c54 · outbound

This paper cites Computational Mechanics , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computational Mechanics , volume=

Reference 53

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:56e8fd62e952cb2966a9e61ba1be2e4a7614f0964a54a6440a99397445bb71c8

Observation d154b27b-15d0-4637-9e7c-2a40a0d58b90 · outbound

This paper cites Computational Mechanics , year=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computational Mechanics , year=

Reference 54

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:77a1ff5014631b34f79ad6975345e1943d30abb2b46028d6f1ea9c76ca3258c6

Observation 707b3f5d-35a1-4568-830c-425a101b4b7f · outbound

This paper cites Journal of the Mechanics and Physics of Solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of the Mechanics and Physics of Solids , volume=

Reference 55

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:38820ea5542afbadf99a68980de251c885cef748954a07fae0f247742526824c

Observation b8d15586-5832-4002-aa26-2c9fde4939d1 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computer Methods in Applied Mechanics and Engineering , volume=

Reference 56

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:2305752442d3622b2ce9f0046705bd9b4e8efe8eabe77625a8ef7a8a07753c94

Observation c6aa0107-1c7b-4131-a9fd-9fdfb69d00f5 · outbound

This paper cites Journal of the Mechanics and Physics of Solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of the Mechanics and Physics of Solids , volume=

Reference 57

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:f5f491a39e2b1468f42ee2595780d1200e0fe31161c1d3075271b2dc82e0973a

Observation 3945f8ce-a61e-44e3-9cf8-3bdfe415c805 · outbound

This paper cites Journal of elasticity and the physical science of solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of elasticity and the physical science of solids , volume=

Reference 58

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:1500ceeec25b0ac0dbe5fe095e1c9f33d7e45033baf6ceb2062356725ad2e3c0

Observation 7607a683-9a36-42fe-959d-2b4ada60a97f · outbound

This paper cites Part II: The three-dimensional case , author=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Part II: The three-dimensional case , author=

Reference 59

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:ec8b58203c791cce602a22e77ae9ec60f91492be97b36195c7625a2bda977372

Observation f6dd4435-c8fa-46d9-ae75-eec93d1ae382 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computer Methods in Applied Mechanics and Engineering , volume=

Reference 60

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:7bf5c70318b7451620d679dca70cb222ea6291325eb60d9844310c18fd51adad

Observation ad3c28c5-d0f1-449b-ac3b-7daf5f80c25f · outbound

This paper cites 2012 , publisher =.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 2012 , publisher =

Reference 61

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:79bdace9fb79c9bfa0202241c9f740a9b6fa080a6e94470e91df0b523b60dcdd

Observation 2f3f7632-7f34-4f67-a4b5-0e6529bb1a96 · outbound

This paper cites an unresolved cited work.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Unresolved cited work

Reference 62

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:7f9684e71bc55b98d6227f08f5796b191f99240b478c9ae0560b7c6577bcad7b

Observation 4cfcd915-7f86-49bf-a3c0-ed204c36bae7 · outbound

This paper cites International Journal of Non-Linear Mechanics , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors International Journal of Non-Linear Mechanics , volume=

Reference 63

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:60bbceb8e64ea7783c29524b9aadb18d3e559d72386fc2eb321577491dbf8896

Observation abebdf0c-c573-4db0-b507-f1f189d996c1 · outbound

This paper cites Continuum Mechanics and Thermodynamics , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Continuum Mechanics and Thermodynamics , volume=

Reference 64

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:63b5f780f50f3ec936497b9bf39eab5fc16214fdff8437099ad1e518fd68013a

Observation 17aa394a-e9c8-41b4-ba78-59472b22f4a8 · outbound

This paper cites Engineering Fracture Mechanics , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Engineering Fracture Mechanics , volume=

Reference 65

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:ea0223d29e12cd4a8637ab81e081d62699143b345b267c1437e0375b6eafc3f8

Observation fd696f88-08a3-442a-be4e-e4ecf33ece47 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computer Methods in Applied Mechanics and Engineering , volume=

Reference 66

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:72766746cd47d34e20f7c282e37adadbb6d25d554364c3f5ddbbacda406ac9d9

Observation 7d354125-37ae-4ffc-8666-b6532078fad7 · outbound

This paper cites International Journal of Plasticity , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors International Journal of Plasticity , volume=

Reference 67

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:6889343ecd9f0dffb328e0b3481c8fb040691b4e8e6672119043ff8a4c81fe48

Observation 6c9e253c-383a-48eb-a922-81465a17e052 · outbound

This paper cites 2012 , publisher=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 2012 , publisher=

Reference 68

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:beb8afbadc61b830ee68f9681576466897bf91ee0a7efd76de15f38d7d3696d6

Observation 06b6c37f-f63c-4026-93e9-8cd1d496b968 · outbound

This paper cites Computers & Fluids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computers & Fluids , volume=

Reference 69

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:bca1bcc1944990de7a5b6ff6b88d6ba843548cd3fa91bcd9dcb73bb2fb6d7fd0

Observation d6a94841-4b88-4836-a0f3-de11035959a9 · outbound

This paper cites an unresolved cited work.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Unresolved cited work

Reference 70

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:0fbfbb69a08202c15f48829039e42975dca1b92634803a68d9d8752cc63e5eb5

Observation 10b1a03f-f746-4d35-a8f7-49ffb3069244 · outbound

This paper cites International journal of fracture , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors International journal of fracture , volume=

Reference 71

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:080d7812e035f3d5cfad88aab84c82813b4c676998e54829df97da16a805f9cd

Observation 759f9555-fc91-46e9-8343-c6e5200db8d8 · outbound

This paper cites 2014 , publisher=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 2014 , publisher=

Reference 72

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:7e94d747443013c3f5bd78a6f11f444ba95f1444696b99d6664b89f82db49b7b

Observation dad5e676-84f1-4350-a532-8abcb1c388f5 · outbound

This paper cites Zenodo , year=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Zenodo , year=

Reference 73

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:ba557295021a9261d4e0a08b5e4e46a07e81705f29e7b12790c864e3274cae7a

Observation 7e8208cd-33ef-45f2-a216-777534161289 · outbound

This paper cites 2003 , publisher=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 2003 , publisher=

Reference 74

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:4509678f99e0c2e0103447dc68406deab12b1c544881dd97baddec0b45c4f69a

Observation 6806fc2e-2a05-4f06-bba9-c164811c2d67 · outbound

This paper cites 1978 , issn =.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 1978 , issn =

Reference 75

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:a1fdcfd81708488b7cd6e0e9821c86c477fde4b41cc86cb1106b795eb072abc9

Observation 210ee70e-6d8d-46c3-b54a-1ce6bcd74067 · outbound

This paper cites Mechanics Research Communications , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Mechanics Research Communications , volume=

Reference 76

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:413c975fb84bad112ef5491cb32d77c7cb73583285073d85d37bcdab840ec1aa

Observation eb0078f2-c506-45e8-9096-3d113e46d646 · outbound

This paper cites 1998 , publisher=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 1998 , publisher=

Reference 77

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:118d67f537556a557bc910836b0197410ce2b4105c85d908c726c8c9f5bae4db

Observation 6ffbe520-582b-4d43-89f1-6e52eb19e58a · outbound

This paper cites Journal of the Mechanics and Physics of Solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of the Mechanics and Physics of Solids , volume=

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source=arxiv_source observed=2026-06-30T02:00:11.029667Z digest=sha256:3dc4280ceb8a876e8afbd8720ad499959b00530b4a4b8cc57b53a4aa6ee001d4

Observation e7577a16-c7e4-4c5a-a3f7-46cabd21a0b6 · outbound

This paper cites Communications on Pure and Applied Mathematics , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Communications on Pure and Applied Mathematics , volume=

Reference 79

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Observation 40dcad22-8bb9-4465-8976-2e4d95cac7af · outbound

This paper cites Bollettino dell'Unione Matematica Italiana.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Bollettino dell'Unione Matematica Italiana

Reference 80

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Observation b195dc85-3224-445e-8a89-8c9c8ee7140d · outbound

This paper cites Journal of the Mechanics and Physics of Solids , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Journal of the Mechanics and Physics of Solids , volume=

Reference 81

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Observation 92e148bd-8626-44b3-828a-95bb188ac97d · outbound

This paper cites International Journal of Damage Mechanics , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors International Journal of Damage Mechanics , volume=

Reference 82

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Observation e6249945-dbe9-45c7-a152-a695d684d730 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computer Methods in Applied Mechanics and Engineering , volume=

Reference 83

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Observation 893c7c09-2551-452e-bc63-d1a67d35a24e · outbound

This paper cites 1998 , publisher=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 1998 , publisher=

Reference 84

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Observation 37d7332d-9256-4d6d-898c-5555d1798dec · outbound

This paper cites Master's thesis, Department of Mathematics, University of Chicago , year=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Master's thesis, Department of Mathematics, University of Chicago , year=

Reference 85

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Observation 87008f96-3df7-4156-a9db-6884a436ff41 · outbound

This paper cites Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability , pages=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability , pages=

Reference 86

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Observation e0a47461-c301-4c00-aadf-e42cb2ef9913 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computer Methods in Applied Mechanics and Engineering , volume=

Reference 87

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Observation 1daf9f58-4587-48ed-bca2-76716857b056 · outbound

This paper cites Computational Mechanics , year=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computational Mechanics , year=

Reference 88

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Observation 42917759-bd6a-48a7-914c-d545d884e21f · outbound

This paper cites 2025 , eprint=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 2025 , eprint=

Reference 89

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Observation af3feb87-19df-483e-878a-5fd1fc548218 · outbound

This paper cites 2025 , note=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 2025 , note=

Reference 90

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Observation 85096d24-129c-4b8b-a827-869570cba5ba · outbound

This paper cites 2025 , eprint=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 2025 , eprint=

Reference 91

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Observation ab606b71-f7b5-481a-9385-6df19f6151bf · outbound

This paper cites Computers & Structures , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Computers & Structures , volume=

Reference 92

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Observation a84c3c60-7960-4da3-81a7-e6ff90ecea0d · outbound

This paper cites Mechanical Systems and Signal Processing , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Mechanical Systems and Signal Processing , volume=

Reference 93

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Observation bf389964-8f9e-4930-87a4-12db7976a69d · outbound

This paper cites Structural damage detection using deep learning and.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Structural damage detection using deep learning and

Reference 94

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Observation 82c882c0-e158-42e2-9270-a4bb49d8e828 · outbound

This paper cites PiGGO: Physics-Guided Learnable Graph Kalman Filters for Virtual Sensing of Nonlinear Dynamic Structures under Uncertainty.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors PiGGO: Physics-Guided Learnable Graph Kalman Filters for Virtual Sensing of Nonlinear Dynamic Structures under Uncertainty

Reference 95

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Observation ca461361-8c26-4d30-bcdb-a6686655b002 · outbound

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PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors arXiv preprint , year=

Reference 96

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Observation 903a7a5f-07b9-460e-9c81-fd250725d866 · outbound

This paper cites Improving the accuracy of the dual.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Improving the accuracy of the dual

Reference 97

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Observation 1d995e10-0c7b-4748-821f-897ba0e46f80 · outbound

This paper cites Considering the higher-order effect of residual modes in the.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors Considering the higher-order effect of residual modes in the

Reference 98

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Observation 2a3e06cb-ed63-488c-9d5b-57219cad6755 · outbound

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PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors 2023 , publisher=

Reference 99

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Observation a7c0c433-99d1-497c-a30a-1c83045f5b6f · outbound

This paper cites AIAA Journal , volume=.

PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors AIAA Journal , volume=

Reference 100

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Pith citing papers

Observation ccba276e-0ac0-4fa3-834f-39fc1b4f8f0c · inbound

A priori error estimator for reduced-order models based on the higher-order Craig-Bampton method in dynamic substructuring cites this paper.

A priori error estimator for reduced-order models based on the higher-order Craig-Bampton method in dynamic substructuring PDE-constrained optimization for virtual sensing in structural dynamics: Full-field displacement and force recovery from sparse sensors

Reference 7

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