Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:47:57.262571Z
Paper Citation Record · LEDGER
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm
As of 16 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:1908.08292.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:18:27.611452Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T11:18:28.408225Z
Reference resolution
64 of 64 outbound references displayed
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- verified fuzzy53
- unresolved11
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c76c78d4-2f4f-430d-a2d1-e82a66cd2dad · outbound
This paper cites Analysis of the heterogeneous multiscale FEM for problems in elas- ticity.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Analysis of the heterogeneous multiscale FEM for problems in elas- ticity
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.425958Z
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.
Observation 5d03c74f-a06c-4660-8972-6121b9e2cba3 · outbound
This paper cites The heterogeneous multiscale finite element method for the homogenization of linear elastic solids and a comparison with the FE2 method.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm The heterogeneous multiscale finite element method for the homogenization of linear elastic solids and a comparison with the FE2 method
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.409269Z
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.
Observation 9ed655d5-7d9a-4477-9349-1c7e1b727574 · outbound
This paper cites an unresolved cited work.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:47:58.393397Z
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.
Observation 63f66e50-d6a9-4935-ac82-13cf0ffa61ac · outbound
This paper cites Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline ma- terials.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Computational homogenization analysis in finite plasticity simulation of texture development in polycrystalline ma- terials
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.378728Z
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.
Observation d5b28006-bc22-4e50-af6d-c115f50203bb · outbound
This paper cites Computational micro–macro tran- sitions and overall moduli in the analysis of polycrystals at large strains.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Computational micro–macro tran- sitions and overall moduli in the analysis of polycrystals at large strains
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.307123Z
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.
Observation a3d36832-7203-44e1-9481-8b6008b757cf · outbound
This paper cites Computer Methods in Applied Mechanics and Engineering , 183(3-4):309–330, 2000.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Computer Methods in Applied Mechanics and Engineering , 183(3-4):309–330, 2000
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.240953Z
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.
Observation db73f6df-214b-4760-b151-d2403cfc5058 · outbound
This paper cites Kouznetsova, W.
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.224645Z
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.
Observation c8e93fd5-c5e0-4b7e-9104-74d16d68f08c · outbound
This paper cites Heterogeneous multiscale methods : A review.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Heterogeneous multiscale methods : A review
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.207971Z
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.
Observation ba5f1e44-6e41-4b8d-8fe9-53cd50421a6f · outbound
This paper cites The finite element heterogeneous multiscale method: A computational strategy for multiscale PDEs.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm The finite element heterogeneous multiscale method: A computational strategy for multiscale PDEs
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.190074Z
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.
Observation af8d1f2a-e09a-487b-9d38-ecebc738585d · outbound
This paper cites The heteroge- neous multiscale method.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm The heteroge- neous multiscale method
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.166282Z
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.
Observation e1cc6ad3-3bc0-438f-892d-7f5266b0e26b · outbound
This paper cites an unresolved cited work.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:47:58.139803Z
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.
Observation 21843bc2-e012-4985-adcf-1a53e32c1bd6 · outbound
This paper cites Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems.Discrete and Continuous Dynamical Systems - Series S , 8(1):119–150, 2015.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems.Discrete and Continuous Dynamical Systems - Series S , 8(1):119–150, 2015
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.123388Z
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.
Observation 477d3163-56d2-4f24-8682-242eba316bb0 · outbound
This paper cites Parallel inelastic heterogeneous multi- scale simulations.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Parallel inelastic heterogeneous multi- scale simulations
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.106839Z
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.
Observation 62516c58-8c0a-442a-b77a-afa014d28737 · outbound
This paper cites Analysis of the heterogeneous mul- tiscale method for elliptic homogenization problems.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Analysis of the heterogeneous mul- tiscale method for elliptic homogenization problems
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.089855Z
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.
Observation d447a393-b634-4d82-b151-83594d7f3682 · outbound
This paper cites A posteriori error estimates for the heterogeneous multiscale fi- nite element method for elliptic homogenization problems.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm A posteriori error estimates for the heterogeneous multiscale fi- nite element method for elliptic homogenization problems
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.075114Z
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.
Observation c39ff736-553a-425c-90cd-70bfca8f55bd · outbound
This paper cites Convergence and error analysis of FE- HMM/FE2 for energetically consistent micro-coupling conditions in linear elastic solids.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Convergence and error analysis of FE- HMM/FE2 for energetically consistent micro-coupling conditions in linear elastic solids
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.059069Z
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.
Observation 61580690-a949-47fd-ab70-296139ce65dc · outbound
This paper cites Moulinec and P.
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.043306Z
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.
Observation a4d83f25-a36d-46fc-8db9-82e29573d7d8 · outbound
This paper cites Moulinec and P.
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.027961Z
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.
Observation e83a9313-db55-44d1-85ff-5a6ebe29802d · outbound
This paper cites Zeller and P.
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:58.013024Z
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.
Observation 0f910a97-09cb-47c6-8333-6509cf49e962 · outbound
This paper cites Statistical continuum mechanics: Course held.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Statistical continuum mechanics: Course held
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.998470Z
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.
Observation 030fec35-7558-41b3-9f3d-cdcc4f81260c · outbound
This paper cites Computational homogenization of elasticity on a staggered grid.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Computational homogenization of elasticity on a staggered grid
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.982983Z
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.
Observation 0338dfde-0cd4-4f29-ac32-629ff08dfb2b · outbound
This paper cites FFT-based homogenization for microstructures discretized by linear hexahedral elements.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm FFT-based homogenization for microstructures discretized by linear hexahedral elements
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.966744Z
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.
Observation 224a1a8e-b15e-4b8e-9ed6-f54e9ad9c38b · outbound
This paper cites Yvonnet and Q.-C.
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.949801Z
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.
Observation d1e9c963-9b4a-4bbb-8355-7ed6b40bfcd6 · outbound
This paper cites POD-based model reduction with empirical interpolation applied to nonlinear elasticity.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm POD-based model reduction with empirical interpolation applied to nonlinear elasticity
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.933393Z
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.
Observation 251d3c47-eab2-4a17-aca9-637d679c9453 · outbound
This paper cites A numerical study of different projection-based model reduction techniques applied to computational homogenisation.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm A numerical study of different projection-based model reduction techniques applied to computational homogenisation
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.917111Z
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.
Observation 645e0a58-2134-4e0b-9740-d8dab5aea4ef · outbound
This paper cites Approximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functions.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Approximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functions
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.900870Z
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.
Observation 2734a897-3220-4276-b7e0-7507ac057a6e · outbound
This paper cites Robust feti-dp methods for heterogeneous three dimensional elasticity problems.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Robust feti-dp methods for heterogeneous three dimensional elasticity problems
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.883517Z
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.
Observation f7e7ada7-643c-465e-b25a-d3913e3a701e · outbound
This paper cites Klawonn and O.
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.867284Z
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.
Observation c8a09132-4b2b-4563-96ca-fec339002427 · outbound
This paper cites Review of FIB-tomography.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Review of FIB-tomography
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.850625Z
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.
Observation f22fbf08-5015-4533-a672-5ea3e2ceeac9 · outbound
This paper cites Saenger, Frieder Enzmann, Youngseuk Keehm, and Holger Steeb.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Saenger, Frieder Enzmann, Youngseuk Keehm, and Holger Steeb
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.833817Z
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.
Observation 4396299c-46df-4d54-941d-74756d224acc · outbound
This paper cites Saenger, Ratnanabha Sain, Nishank Saxena, Sarah Ricker, Andreas Wiegmann, and Xin Zhan.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Saenger, Ratnanabha Sain, Nishank Saxena, Sarah Ricker, Andreas Wiegmann, and Xin Zhan
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.818221Z
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.
Observation 135bd16c-1d84-4790-b4b4-d8ff6ec20301 · outbound
This paper cites Legrain, P.
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.802938Z
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.
Observation 99f16bc1-e4e5-4fb0-8d99-f4460673e3ae · outbound
This paper cites an unresolved cited work.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:47:57.787892Z
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.
Observation 82a6cc86-88d6-46da-b3ad-c3bbefae2a36 · outbound
This paper cites Error analysis for quadtree-type mesh- coarsening algorithms adapted to pixelized heterogeneous microstructures, 2019.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Error analysis for quadtree-type mesh- coarsening algorithms adapted to pixelized heterogeneous microstructures, 2019
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.773206Z
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.
Observation c9134b45-0b4e-49b0-91bb-77a715e050a6 · outbound
This paper cites Miehe and A.
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.756921Z
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.
Observation dc6d236e-e905-44b2-b116-48e74125be47 · outbound
This paper cites Computational micro-to-macro transitions for discretized micro- structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Computational micro-to-macro transitions for discretized micro- structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.739814Z
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.
Observation 9e52b8ad-5f09-472c-99ce-de2879944a42 · outbound
This paper cites A multilevel finite element method(FE2) to describe the response of highly non-linear structures using generalized continua.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm A multilevel finite element method(FE2) to describe the response of highly non-linear structures using generalized continua
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.722936Z
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.
Observation cbccce23-5d10-48bc-b02c-b19cdffca763 · outbound
This paper cites an unresolved cited work.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:47:57.707071Z
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.
Observation a2f266dd-08d6-4ac4-a60e-af7703fb2c9b · outbound
This paper cites ¨Ozdemir, W.A.M.
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.692984Z
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.
Observation 34907a4a-039e-48ef-9cdf-699503e0f83e · outbound
This paper cites Temizer and P.
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.678708Z
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.
Observation 5075a214-894d-4108-bfab-f8e6a6adaa11 · outbound
This paper cites A numerical two-scale homogenization scheme: theFE2-method.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm A numerical two-scale homogenization scheme: theFE2-method
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.662992Z
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.
Observation fcf42e73-6558-4dfd-b8d4-c3c8a725bca2 · outbound
This paper cites Aspects of computational homogenization at finite deformations: A unifying review from Reuss’ to Voigt’s bound.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Aspects of computational homogenization at finite deformations: A unifying review from Reuss’ to Voigt’s bound
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.647424Z
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.
Observation 1624a984-5d2d-491c-8bf6-3fba910887e2 · outbound
This paper cites Compu- tational homogenization with million-way parallelism using domain decomposition methods.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Compu- tational homogenization with million-way parallelism using domain decomposition methods
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.631957Z
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.
Observation 94e83176-a0f5-4b79-a439-e9ac07755f58 · outbound
This paper cites A nonlinear FE-HMM for- mulation along with a novel algorithmic structure for finite deformation elasticity.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm A nonlinear FE-HMM for- mulation along with a novel algorithmic structure for finite deformation elasticity
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.616651Z
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.
Observation 90c2a565-e6bf-4219-842b-62d6c1ce5719 · outbound
This paper cites Papanicolau, A.
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.601423Z
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.
Observation 14e8a266-4b97-4032-8484-9d8659bb9e9d · outbound
This paper cites Non-homogenous media and vibration theory.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Non-homogenous media and vibration theory
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.585926Z
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.
Observation 52bfef6f-041e-4275-bf30-aa19dcbca1a4 · outbound
This paper cites Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.570683Z
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.
Observation 03914860-71b4-4c81-bd7d-b092bdf93718 · outbound
This paper cites Homogenization and two-scale convergence.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Homogenization and two-scale convergence
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.555514Z
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.
Observation d6f2d057-0d58-41f5-8a3f-4039c707f3e7 · outbound
This paper cites Cioranescu and Patrizia Donato.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Cioranescu and Patrizia Donato
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.539485Z
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.
Observation deb080af-972e-4c94-9c37-fdeaa042a347 · outbound
This paper cites an unresolved cited work.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Unresolved cited work
Reference 50
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:47:57.524518Z
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.
Observation 6b3cebd2-5b0a-47de-84f6-6191e4a82f99 · outbound
This paper cites Material spatial randomness: From statistical to repre- sentative volume element.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Material spatial randomness: From statistical to repre- sentative volume element
Reference 51
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.508899Z
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.
Observation 9a6b1d0a-ac07-40c4-9111-951c4eb96c47 · outbound
This paper cites an unresolved cited work.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Unresolved cited work
Reference 52
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:47:57.493793Z
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.
Observation 56e9b48e-5eb3-44ec-a629-c0f54ae9fba7 · outbound
This paper cites an unresolved cited work.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Unresolved cited work
Reference 53
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:47:57.478819Z
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.
Observation 9854cead-9135-4e54-9fe9-9f8b0c991d39 · outbound
This paper cites Plasticit´ e classique et viscoplasticit´ e, volume No 97 of Courses and Lectures, International centre for mechanical sciences.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Plasticit´ e classique et viscoplasticit´ e, volume No 97 of Courses and Lectures, International centre for mechanical sciences
Reference 54
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.463354Z
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.
Observation 6a38becc-d4dc-41bf-a607-d425d68304e1 · outbound
This paper cites an unresolved cited work.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Unresolved cited work
Reference 55
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:47:57.447825Z
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.
Observation d094e577-e69a-46a0-818c-a90d0b6b6807 · outbound
This paper cites The heterogeneous multiscale methods.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm The heterogeneous multiscale methods
Reference 56
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.432573Z
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.
Observation 61391665-02c1-48dd-b1a2-911a5d6cb327 · outbound
This paper cites an unresolved cited work.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Unresolved cited work
Reference 57
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:47:57.417258Z
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.
Observation 78b1a590-dcae-46f0-9472-d5c5be167b76 · outbound
This paper cites Grytz and G.
Reference 58
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.401345Z
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.
Observation a1be48ed-3efc-4265-b680-a4813fee5f00 · outbound
This paper cites an unresolved cited work.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Unresolved cited work
Reference 59
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:47:57.385103Z
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.
Observation d24d77ae-dd6a-45a1-b506-8c19d6b66879 · outbound
This paper cites The heterogeneous multiscale finite element method FE-HMM for the homogenization of linear elastic solids.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm The heterogeneous multiscale finite element method FE-HMM for the homogenization of linear elastic solids
Reference 60
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.367831Z
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.
Observation 347fe699-8c7d-473e-ab1d-486302a830eb · outbound
This paper cites Numerical experiments for multiscale problems in linear elasticity.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Numerical experiments for multiscale problems in linear elasticity
Reference 61
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.349264Z
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.
Observation b57b3ac9-fcf7-4191-b25b-4bd7baaa27fc · outbound
This paper cites Atomic origins of the high catalytic activity of nanoporous gold.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Atomic origins of the high catalytic activity of nanoporous gold
Reference 62
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.333085Z
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.
Observation c0fb0333-773a-465e-b397-c73e56043139 · outbound
This paper cites Surface-stress induced macroscopic bending of nanoporous gold cantilevers.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Surface-stress induced macroscopic bending of nanoporous gold cantilevers
Reference 63
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:47:57.317366Z
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.
Observation ef3cf3ce-99ae-43bf-ad29-460eaa961d9a · outbound
This paper cites an unresolved cited work.
A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm Unresolved cited work
Reference 64
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:47:57.300083Z
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.
Pith citing papers
Observation 0802664d-f2ee-49db-8f68-8068784c7461 · inbound
Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures cites this paper.
Error Analysis for Quadtree-Type Mesh-Coarsening Algorithms Adapted to Pixelized Heterogeneous Microstructures A Nonlinear Finite Element Heterogeneous Multiscale Method for the Homogenization of Hyperelastic Solids and a Novel Staggered Two-Scale Solution Algorithm
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:18:28.420441Z
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.