Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:54:14.516524Z
Paper Citation Record · LEDGER
Numerical upscaling of perturbed diffusion problems
As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.00652.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
24 of 24 outbound references displayed
- verified exact0
- verified fuzzy23
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 624bc1c7-a336-46c1-b1ba-d92c0e945b3f · outbound
This paper cites Optimal local approximation spaces for generalized finite element methods with application to multiscale problems.Multiscale Modeling & Simulation, 9(1):373–406, 2011.
Numerical upscaling of perturbed diffusion problems Optimal local approximation spaces for generalized finite element methods with application to multiscale problems.Multiscale Modeling & Simulation, 9(1):373–406, 2011
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.700884Z
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 6f27877f-569a-400b-bea0-7c4bba87fb0f · outbound
This paper cites The mathematical theory of finite element methods , volume 15.
Numerical upscaling of perturbed diffusion problems The mathematical theory of finite element methods , volume 15
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.693711Z
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 045542bf-6c09-4278-96ab-dd801577dbb0 · outbound
This paper cites Analytic regularity and collocation approximation for elliptic pdes with random domain deformations.
Numerical upscaling of perturbed diffusion problems Analytic regularity and collocation approximation for elliptic pdes with random domain deformations
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.687032Z
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 de8987b2-36ac-4cb9-ab5d-52c4db93c83c · outbound
This paper cites The combined effect of curved boundaries and numerical integration in isoparametric finite element methods.
Numerical upscaling of perturbed diffusion problems The combined effect of curved boundaries and numerical integration in isoparametric finite element methods
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.679799Z
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 e2670f1f-b757-402a-aa7d-8ba198b09f48 · outbound
This paper cites On multiscale methods in petrov– galerkin formulation.
Numerical upscaling of perturbed diffusion problems On multiscale methods in petrov– galerkin formulation
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.673867Z
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 9b5f027a-a824-4214-bba0-dae71476adf9 · outbound
This paper cites Efficient imple- mentation of the localized orthogonal decomposition method.
Numerical upscaling of perturbed diffusion problems Efficient imple- mentation of the localized orthogonal decomposition method
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.668094Z
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 ba09ece7-776b-48c0-b346-4c0431b81696 · outbound
This paper cites Stable multiscale petrov–galerkin finite element method for high frequency acoustic scattering.
Numerical upscaling of perturbed diffusion problems Stable multiscale petrov–galerkin finite element method for high frequency acoustic scattering
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.661832Z
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 0b33bff9-8b1c-428b-9745-8c2abb996ca3 · outbound
This paper cites Analysis of the domain map- ping method for elliptic diffusion problems on random domains.
Numerical upscaling of perturbed diffusion problems Analysis of the domain map- ping method for elliptic diffusion problems on random domains
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.654630Z
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 b8213073-4006-4797-a303-0f4f961043d7 · outbound
This paper cites an unresolved cited work.
Numerical upscaling of perturbed diffusion problems Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:54:14.647254Z
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 cdff3e34-dfe3-44b3-ba10-b7f577895c7f · outbound
This paper cites gridlod-on-perturbations-super.
Numerical upscaling of perturbed diffusion problems gridlod-on-perturbations-super
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.638791Z
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 e627a0e6-32c2-405b-a0f4-977b1cc50258 · outbound
This paper cites Contrast independent localization of multiscale prob- lems.
Numerical upscaling of perturbed diffusion problems Contrast independent localization of multiscale prob- lems
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.631852Z
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 4dc1c312-3491-4a83-98c9-261f389a83d4 · outbound
This paper cites Numerical homogenization of elliptic pdes with similar coefficients.
Numerical upscaling of perturbed diffusion problems Numerical homogenization of elliptic pdes with similar coefficients
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.624742Z
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 1cd97597-d50c-4096-99a7-454ecf2fc58f · outbound
This paper cites Localized orthogonal decomposition techniques for boundary value problems.
Numerical upscaling of perturbed diffusion problems Localized orthogonal decomposition techniques for boundary value problems
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.617819Z
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 444b9c72-adf5-4ba4-ba19-b08d97fc507e · outbound
This paper cites A multiscale finite element method for elliptic problems in composite materials and porous media.
Numerical upscaling of perturbed diffusion problems A multiscale finite element method for elliptic problems in composite materials and porous media
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.611407Z
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 d9a8f431-7d28-46f8-9e48-dc8c4db95e30 · outbound
This paper cites The varia- tional multiscale method—a paradigm for computational mechanics.
Numerical upscaling of perturbed diffusion problems The varia- tional multiscale method—a paradigm for computational mechanics
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.605043Z
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 5781568d-959f-4c32-9817-9965bb733c7f · outbound
This paper cites Variational crimes in the localized orthogonal decomposition method, 2018.
Numerical upscaling of perturbed diffusion problems Variational crimes in the localized orthogonal decomposition method, 2018
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.598346Z
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 8c306aaa-5b80-4214-90b5-463ad2ab4c77 · outbound
This paper cites Some numerical approaches for weakly random homogenization.
Numerical upscaling of perturbed diffusion problems Some numerical approaches for weakly random homogenization
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.591095Z
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 c0108727-55c7-4beb-828e-a0e82958cb4b · outbound
This paper cites Multiscale finite element approach for “weakly” random problems and related issues.
Numerical upscaling of perturbed diffusion problems Multiscale finite element approach for “weakly” random problems and related issues
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.584051Z
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 8f5a3080-5b18-412b-8c16-d5e78a5b0a0e · outbound
This paper cites Localization of elliptic multiscale problems.
Numerical upscaling of perturbed diffusion problems Localization of elliptic multiscale problems
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.575434Z
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 c07280bc-2642-4d75-ba77-ad981fd6c4c0 · outbound
This paper cites Computation of eigenvalues by numerical upscaling.
Numerical upscaling of perturbed diffusion problems Computation of eigenvalues by numerical upscaling
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.567413Z
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 d7133b55-2b08-49d5-b094-b3f824c0fef1 · outbound
This paper cites Gamblets for opening the complexity-bottleneck of im- plicit schemes for hyperbolic and parabolic odes/pdes with rough coefficients.
Numerical upscaling of perturbed diffusion problems Gamblets for opening the complexity-bottleneck of im- plicit schemes for hyperbolic and parabolic odes/pdes with rough coefficients
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.559908Z
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 95fbda8b-5915-4426-91be-3a1188f01bf4 · outbound
This paper cites Variational multiscale stabilization and the exponential decay of fine- scale correctors.
Numerical upscaling of perturbed diffusion problems Variational multiscale stabilization and the exponential decay of fine- scale correctors
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.552082Z
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 4b49984c-1da9-4266-ade6-4915a548cf3a · outbound
This paper cites Robust numerical upscaling of elliptic multiscale problems at high contrast.
Numerical upscaling of perturbed diffusion problems Robust numerical upscaling of elliptic multiscale problems at high contrast
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.544538Z
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 a6c456ff-4a5e-4eb1-a823-a0909a52f036 · outbound
This paper cites Heterogeneous multiscale method: a general methodology for multiscale modeling.
Numerical upscaling of perturbed diffusion problems Heterogeneous multiscale method: a general methodology for multiscale modeling
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:54:14.537520Z
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
No inbound Pith citation observations are available.