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Paper Citation Record · LEDGER

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity

As of 14 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2411.18026.

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pith.paper-citation-record.v1
2411.18026 v1

Coverage vector

measured 31 of 31 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

31 of 31 outbound references displayed

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External citation measurements

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Outbound references

Observation 0cc64858-eb97-49c4-9113-6a9b445435eb · outbound

This paper cites Recent advances in acoustic boundary element methods,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Recent advances in acoustic boundary element methods,

Reference 1

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Observation 9088368f-4857-413d-885c-1a2ae9838a53 · outbound

This paper cites Multipole for scattering computations: Spectral discretiza- tion, stabilization, fast solvers,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Multipole for scattering computations: Spectral discretiza- tion, stabilization, fast solvers,

Reference 2

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This paper cites A fast direct solver for boundary in- tegral equations in two dimensions,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A fast direct solver for boundary in- tegral equations in two dimensions,

Reference 3

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This paper cites The boundary element method in acoustics: A survey,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity The boundary element method in acoustics: A survey,

Reference 4

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Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Unresolved cited work

Reference 5

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This paper cites Rapid solution of integral equations of classical potential theory,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Rapid solution of integral equations of classical potential theory,

Reference 6

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Observation 061e0175-2c25-4c78-a5f3-5bcfcfdc00d0 · outbound

This paper cites A fast direct solver for scattering prob- lems involving elongated structures,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A fast direct solver for scattering prob- lems involving elongated structures,

Reference 7

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Observation 31650f5a-23ed-4c5f-8179-cacb7b9ebf65 · outbound

This paper cites Fast direct solver for transmission boundary value problems for Helmholtz’ eqation in 2D,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Fast direct solver for transmission boundary value problems for Helmholtz’ eqation in 2D,

Reference 8

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Observation 2adb8b07-f908-4aec-9c75-6427714b1968 · outbound

This paper cites A fast direct solver for quasi-periodic scat- tering problems,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A fast direct solver for quasi-periodic scat- tering problems,

Reference 9

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Observation 9b4b793f-8474-4ae3-96cc-7533429d8bf2 · outbound

This paper cites A fast direct solver for scat- tering from periodic structures with multiple material interfaces in two dimensions,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A fast direct solver for scat- tering from periodic structures with multiple material interfaces in two dimensions,

Reference 10

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Observation 77e23ab0-a001-48a1-becc-f8a7f13d8583 · outbound

This paper cites A fast direct solver using the Burton- Miller formulation for one-periodic transmission problems of Helmholt’ equation in 2D,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A fast direct solver using the Burton- Miller formulation for one-periodic transmission problems of Helmholt’ equation in 2D,

Reference 11

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This paper cites Fast direct solvers for integral equations in complex three-dimensional do- mains,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Fast direct solvers for integral equations in complex three-dimensional do- mains,

Reference 12

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Observation ee42087f-3b95-4c79-af0a-feae2e846252 · outbound

This paper cites A review on fast direct methods of surface integral equations for analysis of electromagnetic scattering from 3-D PEC objects,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A review on fast direct methods of surface integral equations for analysis of electromagnetic scattering from 3-D PEC objects,

Reference 13

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This paper cites Theory and implementation of H-matrix based iterative and direct solvers for helmholtz and elastody- namic oscillatory kernels,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Theory and implementation of H-matrix based iterative and direct solvers for helmholtz and elastody- namic oscillatory kernels,

Reference 14

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Observation 6c65527a-03ef-4ec1-ac02-58687afcfdef · outbound

This paper cites Improvement of hierarchical matrices for 3d elastodynamic problems with a complex wavenumber,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Improvement of hierarchical matrices for 3d elastodynamic problems with a complex wavenumber,

Reference 15

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Observation 459841ea-3154-41f2-8ee1-053c15a23023 · outbound

This paper cites Introduction to hierar- chical matrices with applications,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Introduction to hierar- chical matrices with applications,

Reference 16

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Observation 3f37719d-4a5e-4d11-a197-e28929e2459e · outbound

This paper cites Matrix valued adaptive cross approxi- mation,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Matrix valued adaptive cross approxi- mation,

Reference 17

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Observation 8ee46097-102c-4405-bfaf-e6b2eb546fb5 · outbound

This paper cites Boundary integral equations and boundary elements methods in elastodynamics,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Boundary integral equations and boundary elements methods in elastodynamics,

Reference 18

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Observation b8355b17-e7c7-4ef1-a670-957aaba843c3 · outbound

This paper cites Three-dimensional hybrid safe-bem for elastic guided-wave scattering in a plate with finite width,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Three-dimensional hybrid safe-bem for elastic guided-wave scattering in a plate with finite width,

Reference 19

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This paper cites An updating algorithm for subspace tracking,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity An updating algorithm for subspace tracking,

Reference 20

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Observation 754a5100-4086-4a05-9468-3e4897bcc883 · outbound

This paper cites On fictitious frequencies using dual series representation,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity On fictitious frequencies using dual series representation,

Reference 21

Resolution
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Observation c30425f2-0a47-4700-bee9-6bd981f4cef3 · outbound

This paper cites Application of fast multipole galerkin boundary integral equation method to elastostatic crack problems in 3d,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Application of fast multipole galerkin boundary integral equation method to elastostatic crack problems in 3d,

Reference 22

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This paper cites A direct solver with O(N) complexity for integral equations on one-dimensional domains,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity A direct solver with O(N) complexity for integral equations on one-dimensional domains,

Reference 23

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This paper cites Eringen and E.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Eringen and E

Reference 24

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Source-reported events for the cited work

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Observation c85bb774-d5f3-4d16-8bb8-24e544dd6eee · outbound

This paper cites The application of integral equation methods to the numerical solution of some exterior boundary-value problems,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity The application of integral equation methods to the numerical solution of some exterior boundary-value problems,

Reference 25

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Source-reported events for the cited work

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Observation d6171cca-e919-4b4d-a9e3-b3ed88cd9c06 · outbound

This paper cites Fast wavefield evaluation method based on mod- ified proxy-surface-accelerated interpolative decomposition for two- dimensional scattering problems,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Fast wavefield evaluation method based on mod- ified proxy-surface-accelerated interpolative decomposition for two- dimensional scattering problems,

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5a4fa714-b7f1-4b03-b6ca-8ceb4d418d59 · outbound

This paper cites Yoshida, Applications of Fast Multipole Method to Boundary Integral Equation Method.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Yoshida, Applications of Fast Multipole Method to Boundary Integral Equation Method

Reference 27

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Observation e079d05d-c9a0-4e54-9424-69d23c983989 · outbound

This paper cites On the compression of low rank matrices,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity On the compression of low rank matrices,

Reference 28

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5bd5397a-7f33-4847-b899-aff3b7750c91 · outbound

This paper cites Eigen v3.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Eigen v3

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 10d42379-2cc5-4095-9a72-180bdb6f733c · outbound

This paper cites Transmission problems for the Helmholtz equation,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity Transmission problems for the Helmholtz equation,

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation edf0198a-878f-420e-bdc5-a955bcb976d2 · outbound

This paper cites FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions,.

Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions,

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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