A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D | Paper Citation Record

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This paper cites A fast numerical method for computing the linear and nonlinear mechanical properties of composites.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A fast numerical method for computing the linear and nonlinear mechanical properties of composites

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This paper cites A numerical method for computing the overall response of nonlinear composites with complex microstructure.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A numerical method for computing the overall response of nonlinear composites with complex microstructure

Reference 2

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This paper cites The design and implementation of FFTW3.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D The design and implementation of FFTW3

Reference 3

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This paper cites Fast parallel multidimensional FFT using advanced MPI.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Fast parallel multidimensional FFT using advanced MPI

Reference 4

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This paper cites Analysis of the damage initiation in a SiC/SiC composite tube from a direct comparison between large-scale numerical simulation and synchrotron X-ray micro-computed tomography.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Analysis of the damage initiation in a SiC/SiC composite tube from a direct comparison between large-scale numerical simulation and synchrotron X-ray micro-computed tomography

Reference 5

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This paper cites Spectral methods for full-field micromechanical modelling of polycrystalline materials.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Spectral methods for full-field micromechanical modelling of polycrystalline materials

Reference 6

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This paper cites FFT based approaches in micromechanics: fundamentals, methods and applications.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D FFT based approaches in micromechanics: fundamentals, methods and applications

Reference 7

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This paper cites A review of nonlinear FFT-based computational homogenization methods.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A review of nonlinear FFT-based computational homogenization methods

Reference 8

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This paper cites A review of FE-FFT-based two-scale methods for computational modeling of microstructure evolution and macroscopic material behavior.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A review of FE-FFT-based two-scale methods for computational modeling of microstructure evolution and macroscopic material behavior

Reference 9

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This paper cites Kröner,Statistical continuum mechanics.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Kröner,Statistical continuum mechanics

Reference 10

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This paper cites Elastic constants of polycrystals.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Elastic constants of polycrystals

Reference 11

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This paper cites Combining Galerkin approximation techniques with the principle of Hashin and Shtrik- man to derive a new FFT-based numerical method for the homogenization of composites.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Combining Galerkin approximation techniques with the principle of Hashin and Shtrik- man to derive a new FFT-based numerical method for the homogenization of composites

Reference 12

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This paper cites Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields

Reference 13

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This paper cites An FFT-based Galerkin method for homogenization of periodic media.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D An FFT-based Galerkin method for homogenization of periodic media

Reference 14

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This paper cites Convergence of FFT-based homogenization for strongly heterogeneous media.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Convergence of FFT-based homogenization for strongly heterogeneous media

Reference 15

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This paper cites An efficient homogenization method using the trigonometric interpolation and the fast Fourier transform.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D An efficient homogenization method using the trigonometric interpolation and the fast Fourier transform

Reference 16

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This paper cites Efficient fixed point and Newton–Krylov solvers for FFT-based homoge- nization of elasticity at large deformations.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Efficient fixed point and Newton–Krylov solvers for FFT-based homoge- nization of elasticity at large deformations

Reference 17

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This paper cites A comparative study on low-memory iterative solvers for FFT-based homog- enization of periodic media.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A comparative study on low-memory iterative solvers for FFT-based homog- enization of periodic media

Reference 18

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This paper cites Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients

Reference 19

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This paper cites On the Barzilai-Borwein basic scheme in FFT-based computational homogenization.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D On the Barzilai-Borwein basic scheme in FFT-based computational homogenization

Reference 20

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This paper cites On Quasi-Newton methods in fast Fourier transform-based micromechanics.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D On Quasi-Newton methods in fast Fourier transform-based micromechanics

Reference 21

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This paper cites FFT-based methods for the mechanics of composites: A general variational framework.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D FFT-based methods for the mechanics of composites: A general variational framework

Reference 22

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This paper cites ApproximationofperiodicGreen’soperatorinrealspaceusingnumericalintegration and its use in fast Fourier transform-based micromechanical models.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D ApproximationofperiodicGreen’soperatorinrealspaceusingnumericalintegration and its use in fast Fourier transform-based micromechanical models

Reference 23

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This paper cites Effective properties of elastic periodic composite media with fibers.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Effective properties of elastic periodic composite media with fibers

Reference 24

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This paper cites Combining FFT methods and standard variational principles to compute bounds and estimates for the properties of elastic composites.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Combining FFT methods and standard variational principles to compute bounds and estimates for the properties of elastic composites

Reference 25

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This paper cites Improved guaranteed computable bounds on homogenized properties of periodic media by the Fourier– Galerkin method with exact integration.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Improved guaranteed computable bounds on homogenized properties of periodic media by the Fourier– Galerkin method with exact integration

Reference 26

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This paper cites Lippmann-Schwingersolversfortheexplicitjumpdiscretizationforthermalcomputational homogenization problems.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Lippmann-Schwingersolversfortheexplicitjumpdiscretizationforthermalcomputational homogenization problems

Reference 27

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This paper cites Development of a new consistent discrete Green operator for FFT-based methods to solve heterogeneous problems with eigenstrains.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Development of a new consistent discrete Green operator for FFT-based methods to solve heterogeneous problems with eigenstrains

Reference 28

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This paper cites A fast Fourier transform based method for computing the effective crack energy of a heterogeneous material on a combinatorially consistent grid.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A fast Fourier transform based method for computing the effective crack energy of a heterogeneous material on a combinatorially consistent grid

Reference 29

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This paper cites Fourier-based schemes for computing the mechanical response of composites with accurate local fields.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Fourier-based schemes for computing the mechanical response of composites with accurate local fields

Reference 30

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This paper cites Predicting the effective response of bulk polycrystalline ferroelectric ceramics via improved spectral phase field methods.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Predicting the effective response of bulk polycrystalline ferroelectric ceramics via improved spectral phase field methods

Reference 31

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This paper cites A tetrahedron-based discretization for FFT-based computational homogenization with smooth solution fields.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A tetrahedron-based discretization for FFT-based computational homogenization with smooth solution fields

Reference 32

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This paper cites FFT-based homogenization for microstructures discretized by linear hex- ahedral elements.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D FFT-based homogenization for microstructures discretized by linear hex- ahedral elements

Reference 33

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This paper cites Fourier-accelerated nodal solvers (FANS) for homogenization problems.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Fourier-accelerated nodal solvers (FANS) for homogenization problems

Reference 34

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This paper cites An optimal precondi- tioned FFT-accelerated finite element solver for homogenization.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D An optimal precondi- tioned FFT-accelerated finite element solver for homogenization

Reference 35

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This paper cites Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials

Reference 36

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This paper cites Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics

Reference 37

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This paper cites On the effectiveness of the Moulinec–Suquet discretization for composite materials.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D On the effectiveness of the Moulinec–Suquet discretization for composite materials

Reference 38

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A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Unresolved cited work

Reference 39

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A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Unresolved cited work

Reference 40

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This paper cites Convergence analysis of the Q1-finite element method for elliptic problems with non-boundary-fitted meshes.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Convergence analysis of the Q1-finite element method for elliptic problems with non-boundary-fitted meshes

Reference 41

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This paper cites Filtering material properties to improve FFT-based methods for numerical homogeniza- tion.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Filtering material properties to improve FFT-based methods for numerical homogeniza- tion

Reference 42

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Observation 7c108770-bced-4e9c-a221-d0e8e87bb135 · outbound

This paper cites Use of composite voxels in FFT-based homogenization.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Use of composite voxels in FFT-based homogenization

Reference 43

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This paper cites Microstructure modeling and computational microme- chanics of glued metallic hollow-sphere composites.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Microstructure modeling and computational microme- chanics of glued metallic hollow-sphere composites

Reference 44

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This paper cites Homogenizing the viscosity of shear-thinning fiber sus- pensionswithanFFT-basedcomputationalmethod.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Homogenizing the viscosity of shear-thinning fiber sus- pensionswithanFFT-basedcomputationalmethod

Reference 45

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This paper cites Machine learning assisted discovery of effective viscous material laws for shear-thinning fiber suspensions.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Machine learning assisted discovery of effective viscous material laws for shear-thinning fiber suspensions

Reference 46

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Observation 66d3356c-f5bc-45e2-9fc1-9511654d2380 · outbound

This paper cites Different composite voxel methods for the numerical homogenization of heterogeneous inelastic materials with FFT-based techniques.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Different composite voxel methods for the numerical homogenization of heterogeneous inelastic materials with FFT-based techniques

Reference 47

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This paper cites Assumed strain methods in micromechanics, laminate composite voxels and level sets.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Assumed strain methods in micromechanics, laminate composite voxels and level sets

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.236125Z

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Observation aa46fd51-c7ad-49f7-a283-057f7bddd223 · outbound

This paper cites FFT-based homogenization at finite strains using composite boxels (ComBo).

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D FFT-based homogenization at finite strains using composite boxels (ComBo)

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.239291Z

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Observation 83a733be-c0f0-49fe-8fdb-26c62b985dc7 · outbound

This paper cites Accurate and consistent composite voxel methods for digital images in computational micromechanics.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Accurate and consistent composite voxel methods for digital images in computational micromechanics

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.271376Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a6fe9284-05e3-484c-8903-8db31e9899b7 · outbound

This paper cites New large-strain FFT-based formulation and its application to model strain localization in nano-metallic laminates and other strongly anisotropic crystalline materials.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D New large-strain FFT-based formulation and its application to model strain localization in nano-metallic laminates and other strongly anisotropic crystalline materials

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.379182Z

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Observation 8b157970-ecb1-4721-896f-321164fb08f0 · outbound

This paper cites Achieving geometric accuracy in FFT-based micromechanical models using conformal grid.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Achieving geometric accuracy in FFT-based micromechanical models using conformal grid

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.405286Z

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Observation 35da4c74-07ae-470a-b064-e34bcb932f79 · outbound

This paper cites Numerical homogenization by an adaptive Fourier spectral method on non-uniform grids using optimal transport.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Numerical homogenization by an adaptive Fourier spectral method on non-uniform grids using optimal transport

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.388109Z

Source-reported events for the cited work

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Observation 81eafbdd-338e-465e-99f9-e5a9b32cede0 · outbound

This paper cites An X-FFT Solver for Two-Dimensional Thermal Homogenization Problems.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D An X-FFT Solver for Two-Dimensional Thermal Homogenization Problems

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.286607Z

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Observation b921dbaa-5230-4512-b861-b2b6980e508a · outbound

This paper cites A finite element method for crack growth without remeshing.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A finite element method for crack growth without remeshing

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.519992Z

Source-reported events for the cited work

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Observation 7cee916c-e077-4728-a59e-e26dd73e9407 · outbound

This paper cites Elastic crack growth in finite elements with minimal remeshing.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Elastic crack growth in finite elements with minimal remeshing

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.502554Z

Source-reported events for the cited work

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Observation fe8dfd3c-8c69-4404-baf6-c2c6b50c419a · outbound

This paper cites An extended finite element method for two-phase fluids.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D An extended finite element method for two-phase fluids

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.482788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 13fa4dd4-d93b-4a14-8319-c954d32623f4 · outbound

This paper cites An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.329006Z

Source-reported events for the cited work

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Observation 53373945-7d0f-4aca-9811-c5a0d2d4625b · outbound

This paper cites XFEM modeling and homogenization of magnetoactive composites.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D XFEM modeling and homogenization of magnetoactive composites

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.368955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 60209bb3-b745-4f59-afa2-5af5d1b123f1 · outbound

This paper cites Higher-order extended FEM for weak discontinuities–level set representation, quadrature and application to magneto-mechanical problems.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Higher-order extended FEM for weak discontinuities–level set representation, quadrature and application to magneto-mechanical problems

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.359521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 11161c57-926c-44d9-9b38-a4ea209b0c77 · outbound

This paper cites Faults simulations for three-dimensional reservoir-geomechanical models with the extended finite element method.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Faults simulations for three-dimensional reservoir-geomechanical models with the extended finite element method

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.350815Z

Source-reported events for the cited work

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Observation a2b80218-edef-4748-b0c8-2633540beb19 · outbound

This paper cites An interface-enriched generalized finite element for- mulation for locking-free coupling of non-conforming discretizations and contact.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D An interface-enriched generalized finite element for- mulation for locking-free coupling of non-conforming discretizations and contact

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.436377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9dfb9ae3-fc27-442b-b1cc-049b00529cca · outbound

This paper cites A generalized finite element method for polycrystals with discon- tinuous grain boundaries.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A generalized finite element method for polycrystals with discon- tinuous grain boundaries

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.422333Z

Source-reported events for the cited work

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Observation 46a5229a-8a19-48ae-91b4-a6cb4a68bd8b · outbound

This paper cites Modeling holes and inclusions by level sets in the extended finite-element method.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Modeling holes and inclusions by level sets in the extended finite-element method

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.381845Z

Source-reported events for the cited work

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Observation f05d3e4e-941c-4cc6-81a5-4218d5c89f16 · outbound

This paper cites A computational approach to handle complex microstructure geometries.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A computational approach to handle complex microstructure geometries

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.334904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5cc98b76-df9a-4e90-ae35-99054d00b124 · outbound

This paper cites The design and analysis of the generalized finite element method.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D The design and analysis of the generalized finite element method

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.341023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 31c3e192-ecb6-4d64-a36f-9ac205acdfec · outbound

This paper cites The generalized finite element method: an example of its implementation and illustration of its performance.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D The generalized finite element method: an example of its implementation and illustration of its performance

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.492365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 91a78037-216b-40f5-976e-96e386eca646 · outbound

This paper cites Special finite element methods for a class of second order elliptic problems with rough coefficients.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Special finite element methods for a class of second order elliptic problems with rough coefficients

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.308104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 94369340-5a48-4a63-98b2-a24b27247287 · outbound

This paper cites The extended/generalized finite element method: an overview of the method and its applications.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D The extended/generalized finite element method: an overview of the method and its applications

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.208446Z

Source-reported events for the cited work

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Observation 6f821020-1fff-4bae-9fc7-6848ae151bc0 · outbound

This paper cites Strongly stable generalized finite element method: Application to interface problems.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Strongly stable generalized finite element method: Application to interface problems

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.495827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8f6fa935-34c7-47b8-9899-666aaf092d9f · outbound

This paper cites Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton- Jacobi formulations.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton- Jacobi formulations

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.391739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0666e2a6-08c8-4ae4-8a7c-aac2dd92dab7 · outbound

This paper cites Random packings of spheres and spherocylinders simulated by mechanical con- traction.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Random packings of spheres and spherocylinders simulated by mechanical con- traction

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.401867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e84a265c-f57e-45ec-8698-aa3410edf145 · outbound

This paper cites Robust algorithm to generate a diverse class of dense disordered and ordered sphere packings via linear programming.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Robust algorithm to generate a diverse class of dense disordered and ordered sphere packings via linear programming

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.274703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ed00c611-1ea6-493d-8140-0df28ff0828d · outbound

This paper cites The sequential addition and migration method to generate representative volume elements for the homogenization of short fiber reinforced plastics.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D The sequential addition and migration method to generate representative volume elements for the homogenization of short fiber reinforced plastics

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.462678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3125871a-92bb-4d7a-b76e-69708266ba52 · outbound

This paper cites An algorithm for generating microstructures of fiber-reinforced composites with long fibers.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D An algorithm for generating microstructures of fiber-reinforced composites with long fibers

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.302126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b1bacc3f-49e7-4613-8887-722b2d11cfb3 · outbound

This paper cites A clustered overlapping sphere algorithm to represent real particles in discrete element modelling.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A clustered overlapping sphere algorithm to represent real particles in discrete element modelling

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.506133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cb4ed3e2-2de6-400c-bf1c-c4d765bb03f1 · outbound

This paper cites A unified level set based methodology for fast generation of complex mi- crostructural multi-phase RVEs.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A unified level set based methodology for fast generation of complex mi- crostructural multi-phase RVEs

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.295992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2e6b95fa-c97f-4df9-881c-062e902f02e5 · outbound

This paper cites Modelling the microstructure and computing effective elastic properties of sand core materials.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Modelling the microstructure and computing effective elastic properties of sand core materials

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.242255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ac1df294-d494-43d1-b238-68595cef28c4 · outbound

This paper cites An advanced approach for the generation of complex cellular material representative volume elements using distance fields and level sets.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D An advanced approach for the generation of complex cellular material representative volume elements using distance fields and level sets

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.268180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 05a2a5c6-1097-46d9-8d92-6a250b17e8b2 · outbound

This paper cites A level-set based representative volume element generator and XFEM simulations for textile and 3D-reinforced composites.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A level-set based representative volume element generator and XFEM simulations for textile and 3D-reinforced composites

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.214877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 32d01ef3-da84-4359-8e81-a2dfa416f727 · outbound

This paper cites Mechanics Simulation with Implicit Neural Representations of Complex Geometries.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Mechanics Simulation with Implicit Neural Representations of Complex Geometries

Reference 81

Resolution: verified exact; arxiv_id, observed 2026-05-21T16:30:22.009627Z

Source-reported events for the cited work

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Observation 30e8d57f-80ac-4a53-839f-af4cc0f65856 · outbound

This paper cites Image-based computational homogenization and localization: comparison between X-FEM/levelset and voxel-based approaches.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Image-based computational homogenization and localization: comparison between X-FEM/levelset and voxel-based approaches

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.305182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cc5b03d7-7ca3-4a1b-8698-f5791366fb64 · outbound

This paper cites A corrected XFEM approximation without problems in blending elements.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A corrected XFEM approximation without problems in blending elements

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.469769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9e0db029-2d67-48b0-94b5-a1bf18124d8f · outbound

This paper cites Improved implementation and robustness study of the X-FEM for stress analysis around cracks.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Improved implementation and robustness study of the X-FEM for stress analysis around cracks

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.530641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7fa1d9d8-2a37-439e-bbee-6b151f179b6d · outbound

This paper cites A robust preconditioning technique for the extended finite element method.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A robust preconditioning technique for the extended finite element method

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.534325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 618267ed-dbd0-4452-a41e-e93850994732 · outbound

This paper cites Inexact Schwarz-algebraic multigrid pre- conditioners for crack problems modeled by extended finite element methods.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Inexact Schwarz-algebraic multigrid pre- conditioners for crack problems modeled by extended finite element methods

Reference 86

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.259137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fd538ffd-c1bb-4584-ae95-c607de1d5acc · outbound

This paper cites An adaptive domain decomposition preconditioner for crack propagation prob- lems modeled by XFEM.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D An adaptive domain decomposition preconditioner for crack propagation prob- lems modeled by XFEM

Reference 87

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.283667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 55a21c7d-b6e4-4848-8af2-cad54b00823d · outbound

This paper cites Stable generalized finite element method and associated iterative schemes; application to interface problems.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Stable generalized finite element method and associated iterative schemes; application to interface problems

Reference 88

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.251299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 206690d7-8e81-47dc-839e-911a324f55b9 · outbound

This paper cites Optimal preconditioners for Nitsche-XFEM discretizations of interface problems.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Optimal preconditioners for Nitsche-XFEM discretizations of interface problems

Reference 89

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.245300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e49062e4-b904-4c1d-88c7-90bfbea5f9f2 · outbound

This paper cites Stable generalized finite element method (SGFEM).

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Stable generalized finite element method (SGFEM)

Reference 90

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.353729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9a7ff422-34cb-47a1-a8a4-75df0f075375 · outbound

This paper cites BDF Schemes in stable generalized finite element methods for parabolic interface problems with moving interfaces.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D BDF Schemes in stable generalized finite element methods for parabolic interface problems with moving interfaces

Reference 91

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.373217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e3863cfd-cb4d-4606-998e-6680f9175793 · outbound

This paper cites Multi-grid methods of stable generalized finite element methods for interface problems.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Multi-grid methods of stable generalized finite element methods for interface problems

Reference 92

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.509813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 932de17c-a8b9-4f3f-98f7-fa6df6c25702 · outbound

This paper cites Improved Numerical Robustness of the X-FFT Solver via Internal Scaling.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Improved Numerical Robustness of the X-FFT Solver via Internal Scaling

Reference 93

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.196029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 03b7fc35-9a3e-4c12-a8a9-7dfcd190ce94 · outbound

This paper cites Voxel-based finite elements with hourglass control in FFT-based computational homogenization.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Voxel-based finite elements with hourglass control in FFT-based computational homogenization

Reference 94

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.188604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 954dee43-df30-419c-99d8-47d82d86ae6d · outbound

This paper cites Particle tracing inσ-transformed grids using tetra- hedral 6-decomposition.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Particle tracing inσ-transformed grids using tetra- hedral 6-decomposition

Reference 95

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.314182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3ee3ff45-6362-405c-9acd-8a19b0c2bf11 · outbound

This paper cites Basis mapping methods for forward and inverse problems.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Basis mapping methods for forward and inverse problems

Reference 96

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.232999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 11b4de97-895a-4f8e-9b44-05e983ee6816 · outbound

This paper cites Symmetric quadrature rules for tetrahedra based on a cubic close-packed lattice arrangement.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Symmetric quadrature rules for tetrahedra based on a cubic close-packed lattice arrangement

Reference 97

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.192530Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6c66a68c-f8b0-4802-87cb-71a2db1aa4cb · outbound

This paper cites A dynamical view of nonlinear conjugate gradient methods with applications to FFT-based computa- tional micromechanics.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D A dynamical view of nonlinear conjugate gradient methods with applications to FFT-based computa- tional micromechanics

Reference 98

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.248291Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 26dd246c-fbaa-426a-945f-a9b2d10fc100 · outbound

This paper cites Merkert, H.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Merkert, H

Reference 99

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.513015Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f8043163-0731-43d1-bfe3-3e85201df711 · outbound

This paper cites Superaccurate effective elastic moduli via postprocessing in computational homogenization.

A stable and accurate X-FFT solver for linear elastic homogenization problems in 3D Superaccurate effective elastic moduli via postprocessing in computational homogenization

Reference 100

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T16:30:22.261869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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