Paper Citation Record · LEDGER

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead

As of 14 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2505.15535.

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

pith.paper-citation-record.v1
2505.15535 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

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measured 48 of 48 standing notices

One-hop event checks from named stored sources.

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T15:03:31.057450Z

Reference resolution

47 of 47 outbound references displayed

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External citation measurements

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Outbound references

Observation fd0058dc-306a-45f3-86d1-652a3426b619 · outbound

This paper cites Spectralmethodsforproblemsincomplexgeometries,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Spectralmethodsforproblemsincomplexgeometries,

Reference 1

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Observation c93c017e-dba9-42a5-8670-005cf4a9ebbd · outbound

This paper cites Efficient nonlinear solvers for nodal high-order finite elements in 3D,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Efficient nonlinear solvers for nodal high-order finite elements in 3D,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:15.935100Z

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Observation 63f86a47-7a26-4539-a0e7-633ce1aaa2f2 · outbound

This paper cites From h to p efficiently: Strategy selection for operator evaluation on hexahedral and tetrahedral elements,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead From h to p efficiently: Strategy selection for operator evaluation on hexahedral and tetrahedral elements,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:15.634371Z

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Observation 8580cec6-4c0a-4641-8fb1-f8ddb34abbe1 · outbound

This paper cites A generic interface for parallel cell-based finite element operator application,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead A generic interface for parallel cell-based finite element operator application,

Reference 4

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Observation 493b4fba-5081-475e-99aa-06af4609fb75 · outbound

This paper cites A quantitative performance study for Stokes solvers at the extreme scale,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead A quantitative performance study for Stokes solvers at the extreme scale,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:15.116615Z

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Observation 391936ef-2562-4d12-9418-8c40b883914c · outbound

This paper cites Fast matrix-free evaluation of discontinuous Galerkin finite element operators,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Fast matrix-free evaluation of discontinuous Galerkin finite element operators,

Reference 6

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Observation 7cd98899-1aab-4141-be40-9519b03cea27 · outbound

This paper cites GPU algorithms for efficient exascale discretizations,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead GPU algorithms for efficient exascale discretizations,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:14.642414Z

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Observation 2fcd54fd-6f66-42a2-87b5-f49aaaebf58e · outbound

This paper cites Efficient exascale discretizations: High-order finite element methods,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Efficient exascale discretizations: High-order finite element methods,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:14.423908Z

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Observation 17d930e8-0c7b-4f53-9c2e-0cc37df41796 · outbound

This paper cites A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:14.204857Z

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Observation b3920ff5-5bc4-4d1d-9895-5e3f062dc6a8 · outbound

This paper cites Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid

Reference 10

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Observation 0f1f895d-e67a-455c-aaa2-d8bebb3c3c3e · outbound

This paper cites Matrix-free higher-order finite element methods for hyperelasticity,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Matrix-free higher-order finite element methods for hyperelasticity,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:14.091762Z

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Observation 4b8f9710-9a34-430f-b2fd-f2bf8d0324c7 · outbound

This paper cites Roofline: an insightful visual performance model for multicore architectures,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Roofline: an insightful visual performance model for multicore architectures,

Reference 12

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Observation ef2885fb-d239-4747-9ea8-07f2bfc1b3b3 · outbound

This paper cites AI and Memory Wall.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead AI and Memory Wall

Reference 13

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Source-reported events for the cited work

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Observation df911b3c-feab-47d0-bb55-d06bb8512161 · outbound

This paper cites A large-scale comparison of tetrahedral and hexahedral elements for solving elliptic pdes with the finite element method,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead A large-scale comparison of tetrahedral and hexahedral elements for solving elliptic pdes with the finite element method,

Reference 14

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Observation d0e4c80d-b9bc-436b-8e1e-bc429d93361f · outbound

This paper cites p-FEM applied to finite isotropic hyperelastic bodies,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead p-FEM applied to finite isotropic hyperelastic bodies,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:13.864793Z

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Observation 90309619-a9ca-4b6e-a330-e2d22e219f2f · outbound

This paper cites Wriggers,Nonlinear finite element methods.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Wriggers,Nonlinear finite element methods

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:13.735948Z

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Observation 403efdc3-d080-4d16-8980-d4f3e98c1e28 · outbound

This paper cites ptatin3d: High-performance methods for long-term litho- spheric dynamics,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead ptatin3d: High-performance methods for long-term litho- spheric dynamics,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:13.666580Z

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Observation 6e571347-d913-4910-9bd4-11f4f082824d · outbound

This paper cites Fully discrete hp-finite elements: fast quadrature,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Fully discrete hp-finite elements: fast quadrature,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:13.571473Z

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Observation 23a7b0c5-90ef-49fa-ae29-636b30be63eb · outbound

This paper cites A fast algorithm for spectral differentiation,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead A fast algorithm for spectral differentiation,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:13.449946Z

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Observation 5ff33590-bf03-454c-8c43-e70c8ee7d766 · outbound

This paper cites Efficient matrix-free high-order finite element evaluation for sim- plicial elements,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Efficient matrix-free high-order finite element evaluation for sim- plicial elements,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:13.322809Z

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Observation d93569c1-4216-4fcb-bf92-59ee0d6351d4 · outbound

This paper cites Scalability of high-performance pde solvers,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Scalability of high-performance pde solvers,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:13.164896Z

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Observation 3a8657bc-10ec-4735-b615-92bb9db98ef6 · outbound

This paper cites A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:13.016663Z

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Observation a0ea8d12-648b-49a3-b9cc-729195f3b44c · outbound

This paper cites A flexible, parallel, adaptive geometric multigrid method for fem,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead A flexible, parallel, adaptive geometric multigrid method for fem,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:12.862081Z

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Observation 8494c58d-09b8-468b-b7f2-a8ce855ae254 · outbound

This paper cites Exploiting high-contrast stokes precon- ditioners to efficiently solve incompressible fluid–structure interaction problems,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Exploiting high-contrast stokes precon- ditioners to efficiently solve incompressible fluid–structure interaction problems,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:12.730823Z

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Observation ef71cfe2-1dfc-4496-b007-e941c20f2143 · outbound

This paper cites The deal.II finite element library: Design, features, and insights,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead The deal.II finite element library: Design, features, and insights,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:12.628784Z

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Observation cbc17af2-d7e7-424b-a162-d8f4083835d9 · outbound

This paper cites Thedeal.II library, version 9.5,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Thedeal.II library, version 9.5,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:12.464028Z

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Observation dc58f966-64e0-4f95-81e0-568b735d0ce9 · outbound

This paper cites Automatic generation of finite-element code by simultaneous optimization of expressions,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Automatic generation of finite-element code by simultaneous optimization of expressions,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:12.307482Z

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Observation 0bd01591-4f63-4f0a-9627-8fc1114c9040 · outbound

This paper cites Extending the functionality of the general- purposefiniteelementpackagesepranbyautomaticdifferentiation,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Extending the functionality of the general- purposefiniteelementpackagesepranbyautomaticdifferentiation,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:12.170671Z

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

Observation e393f02a-e0f9-4f56-bb0b-afc080ec887e · outbound

This paper cites Griewank and A.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Griewank and A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:12.028205Z

Source-reported events for the cited work

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Observation 2f97ea54-4fad-4105-a19c-c7d67da82c34 · outbound

This paper cites Multi-language and multi-environment generation of nonlinear finite element codes,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Multi-language and multi-environment generation of nonlinear finite element codes,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:11.899676Z

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Observation bcc1790a-65de-4808-b333-afcfba279c0c · outbound

This paper cites Korelc and P.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Korelc and P

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:11.760257Z

Source-reported events for the cited work

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Observation 60bb0078-034b-430c-9ad0-eec62da70bee · outbound

This paper cites Mathematica, Version 14.1.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Mathematica, Version 14.1

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:11.636017Z

Source-reported events for the cited work

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Observation 02166918-53ee-4b1d-91ff-64551006ddb4 · outbound

This paper cites Automation of primal and sensitivity analysis of transient coupled problems,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Automation of primal and sensitivity analysis of transient coupled problems,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:11.543078Z

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Observation 17e0edf0-9073-40bd-b3cd-1eac8b60b0b0 · outbound

This paper cites Reverse-mode automatic differentiation and optimization of gpu kernels via enzyme,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Reverse-mode automatic differentiation and optimization of gpu kernels via enzyme,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:11.426201Z

Source-reported events for the cited work

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Observation ce7510b2-a701-4736-9f77-abfa8e59b336 · outbound

This paper cites An overview of the Trilinos project,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead An overview of the Trilinos project,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:11.336048Z

Source-reported events for the cited work

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Observation 5341c567-1ca0-4741-af5a-0000f63b2a8f · outbound

This paper cites an unresolved cited work.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:19:11.214208Z

Source-reported events for the cited work

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Observation d463099c-91c8-47ab-96b1-a80a0ed3fb6a · outbound

This paper cites Parallel multigrid smoothing: polynomial versus gauss–seidel,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Parallel multigrid smoothing: polynomial versus gauss–seidel,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:11.105359Z

Source-reported events for the cited work

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Observation f38e622a-0249-4ef5-ab56-9d5543f8a15c · outbound

This paper cites ExaDG: High-order discontinuous Galerkin for the exa-scale,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead ExaDG: High-order discontinuous Galerkin for the exa-scale,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:10.996957Z

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.

Observation a53bf6e1-031d-4fa7-9825-c428772283ac · outbound

This paper cites Gruber, J.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Gruber, J

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:10.883944Z

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.

Observation df309331-da64-4491-ab43-0d1aa43b8e2c · outbound

This paper cites Large deformation isotropic elasticity–on the correlation of theory and experiment for incompressible rubberlike solids,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Large deformation isotropic elasticity–on the correlation of theory and experiment for incompressible rubberlike solids,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:10.777590Z

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.

Observation e6b0c959-e840-42c7-ac79-44b5170166a5 · outbound

This paper cites The mechanics of rubber elasticity,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead The mechanics of rubber elasticity,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:10.669171Z

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.

Observation cee50b97-a319-4b20-9d44-d082e26b45a9 · outbound

This paper cites Remarks on rate constitutive equations for finite deformation problems: computational implications,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Remarks on rate constitutive equations for finite deformation problems: computational implications,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:10.554520Z

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.

Observation 788d18d1-b133-469b-958b-c23b4102695e · outbound

This paper cites Numerical analysis and simulation of plasticity,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Numerical analysis and simulation of plasticity,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:10.452497Z

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.

Observation 57059219-dea4-4cfc-b72e-c20f64af9cda · outbound

This paper cites Smoothers with localized residual computations for geometric multigrid methods.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Smoothers with localized residual computations for geometric multigrid methods

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:19:10.121866Z

Source-reported events for the cited work

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Observation c396d948-171e-49ea-80f7-40e126f92e71 · outbound

This paper cites Cut finite element methods for linear elasticity problems,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Cut finite element methods for linear elasticity problems,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:10.356693Z

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.

Observation 5cd5a8d8-fbbb-40a1-a85c-0b43ce44e4b2 · outbound

This paper cites High-performance matrix-free unfitted finite element operator evaluation.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead High-performance matrix-free unfitted finite element operator evaluation

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T15:19:09.951087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d46a909-3fef-4134-ab2f-53cf1ff57de7 · outbound

This paper cites Preconditioning discretizations of systems of partial differential equa- tions,.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Preconditioning discretizations of systems of partial differential equa- tions,

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:19:10.254996Z

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.

Pith citing papers

Observation 7402a10e-71bd-48a0-a91b-fe96f03d06c2 · inbound

Matrix-Free Evaluation of High-Order Shifted Boundary Finite Element Operators cites this paper.

Matrix-Free Evaluation of High-Order Shifted Boundary Finite Element Operators Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead

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Resolution: verified exact; local_arxiv, observed 2026-08-06T15:03:31.167051Z

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