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Paper Citation Record · LEDGER

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs

As of 21 August 2026, this Paper Citation Record lists 100 of 133 outbound references and 2 inbound Pith citation observations for arXiv:2508.21527.

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pith.paper-citation-record.v1
2508.21527 v1

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measured 100 of 133 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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100 of 133 outbound references displayed

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Outbound references

Observation 038abcba-f180-4f8b-9f75-10550e85ff35 · outbound

This paper cites A manifold learning approach to nonlinear model order reduction of quasi-static problems in solid mechanics.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A manifold learning approach to nonlinear model order reduction of quasi-static problems in solid mechanics

Reference 1

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This paper cites A Sur vey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Sur vey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

Reference 2

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This paper cites D esign across Length Scales: A Reduced- Order Model of Polycrystal Plasticity for the Control of Mic rostructure-Sensitive Material Properties.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs D esign across Length Scales: A Reduced- Order Model of Polycrystal Plasticity for the Control of Mic rostructure-Sensitive Material Properties

Reference 3

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Observation 5f71f83e-875c-4991-8649-d9188247eafb · outbound

This paper cites A L ocalized Reduced Basis Approach for Unfitted Domain Methods on Parameterized Geometries.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A L ocalized Reduced Basis Approach for Unfitted Domain Methods on Parameterized Geometries

Reference 4

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This paper cites Fast Parametric Analysis of Trimmed Multi- Patch Isogeometric Kirchhoff-Love Shells Using a Local Reduc ed Basis Method.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Fast Parametric Analysis of Trimmed Multi- Patch Isogeometric Kirchhoff-Love Shells Using a Local Reduc ed Basis Method

Reference 5

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This paper cites Reduced Order Multiscale Mod eling of Nonlinear Processes in Heterogeneous Materials.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Reduced Order Multiscale Mod eling of Nonlinear Processes in Heterogeneous Materials

Reference 6

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This paper cites An Effective Compu tational Tool for Parametric Studies and Identification Problems in Materials Mechanics.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs An Effective Compu tational Tool for Parametric Studies and Identification Problems in Materials Mechanics

Reference 7

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This paper cites Learning Physics-Base d Models from Data: Perspectives from Inverse Problems and Model Reduction.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Learning Physics-Base d Models from Data: Perspectives from Inverse Problems and Model Reduction

Reference 8

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This paper cites Proper Orthogonal De composition and Radial Basis Functions in Material Characterization Based on Instrumented Indentat ion.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Proper Orthogonal De composition and Radial Basis Functions in Material Characterization Based on Instrumented Indentat ion

Reference 9

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This paper cites O n Calibration of Orthotropic Elastic-Plastic Constitutive Models for Paper Foils by Biaxial Tests and Inverse Analyses.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs O n Calibration of Orthotropic Elastic-Plastic Constitutive Models for Paper Foils by Biaxial Tests and Inverse Analyses

Reference 10

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Observation fbb6b433-343e-49a1-a4fd-54a4feafdae0 · outbound

This paper cites Reduced Basis Homog enization of Viscoelastic Composites.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Reduced Basis Homog enization of Viscoelastic Composites

Reference 11

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This paper cites Reduced-Order Multiscale Modeli ng of Plastic Deformations in 3D Alloys with Spatially Varying Porosity by Deflated Clustering Analysis.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Reduced-Order Multiscale Modeli ng of Plastic Deformations in 3D Alloys with Spatially Varying Porosity by Deflated Clustering Analysis

Reference 12

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This paper cites A Reduced Order Model for Geometrically Parame- terized Two-Scale Simulations of Elasto-Plastic Microstr uctures under Large Deformations.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Reduced Order Model for Geometrically Parame- terized Two-Scale Simulations of Elasto-Plastic Microstr uctures under Large Deformations

Reference 13

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This paper cites A Nonlinear Manifold-Based Reduced Order Model for Multiscale Analysis of Heterogeneous Hyperelastic Materi als.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Nonlinear Manifold-Based Reduced Order Model for Multiscale Analysis of Heterogeneous Hyperelastic Materi als

Reference 14

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A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Design of 3D Statistically Simil ar Representative Volume Elements Based on Minkowski Functionals

Reference 15

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This paper cites Data-Driven Modellin g of the Multiaxial Yield Behaviour of Nanoporous Metals.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Data-Driven Modellin g of the Multiaxial Yield Behaviour of Nanoporous Metals

Reference 16

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A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Nonuniform Transformation Field Analysis

Reference 17

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This paper cites Reduced Basis H ybrid Computational Homogenization Based on a Mixed Incremental Formulation.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Reduced Basis H ybrid Computational Homogenization Based on a Mixed Incremental Formulation

Reference 18

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This paper cites Comparison of Reduced Order Homogeni zation Techniques: pRBMOR, NUTF A and MxTF A.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Comparison of Reduced Order Homogeni zation Techniques: pRBMOR, NUTF A and MxTF A

Reference 19

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This paper cites Self-Consis tent Clustering Analysis: An Efficient Multi- Scale Scheme for Inelastic Heterogeneous Materials.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Self-Consis tent Clustering Analysis: An Efficient Multi- Scale Scheme for Inelastic Heterogeneous Materials

Reference 20

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A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs FE2 Multiscale in Linear Elasticity Based on Parametrized Microscale Models Using Proper Generalized Decomposition

Reference 21

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A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Model Order Reduction in Hype relasticity: A Proper Generalized Decom- position Approach

Reference 22

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This paper cites High-Performance Model Reduct ion Techniques in Computational Multiscale Homogenization.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs High-Performance Model Reduct ion Techniques in Computational Multiscale Homogenization

Reference 23

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This paper cites A Mu ltilevel Projection-based Model Order Reduction Framework for Nonlinear Dynamic Multiscale Prob lems in Structural and Solid Mechanics.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Mu ltilevel Projection-based Model Order Reduction Framework for Nonlinear Dynamic Multiscale Prob lems in Structural and Solid Mechanics

Reference 24

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This paper cites Dimensi onal Hyper-Reduction of Nonlinear Finite El- ement Models via Empirical Cubature.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Dimensi onal Hyper-Reduction of Nonlinear Finite El- ement Models via Empirical Cubature

Reference 25

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A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Numerical Study of Different Pro jection-Based Model Reduction Techniques Applied to Computational Homogenisation

Reference 26

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A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Mi cromechanics-Based Surrogate Models for the Response of Composites: A Critical Comparison betwe en a Classical Mesoscale Constitutive Model, Hyper-Reduction and Neural Networks

Reference 27

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This paper cites High Performance Reduction Tech nique for Multiscale Finite Element Modeling (HPR-FE2): Towards Industrial Multiscale FE Software.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs High Performance Reduction Tech nique for Multiscale Finite Element Modeling (HPR-FE2): Towards Industrial Multiscale FE Software

Reference 28

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A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Monol ithic Hyper ROM FE2 Method with Clustered Training at Finite Deformations

Reference 29

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A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs E3C for Computational Homogenization in Nonlinear Mechanics

Reference 30

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A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Nonlinear Data-Driven Reduced Order Model for Com- putational Homogenization with Physics/Pattern-Guided Sampling

Reference 31

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This paper cites Data-Driven Multiscale Finite-Element Method Using Deep Neural Network Combined with Proper Orthogonal Decomposition.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Data-Driven Multiscale Finite-Element Method Using Deep Neural Network Combined with Proper Orthogonal Decomposition

Reference 32

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Observation be926998-f73d-4a8c-8c23-9dbee5f5a8bd · outbound

This paper cites Opera tor Inference for Non-Intrusive Model Re- duction with Quadratic Manifolds.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Opera tor Inference for Non-Intrusive Model Re- duction with Quadratic Manifolds

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Observation 4ad76c9c-b010-453f-bde5-af6184ecaddb · outbound

This paper cites Uncertainty Quantification for N onlinear Solid Mechanics Using Reduced Order Models with Gaussian Process Regression.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Uncertainty Quantification for N onlinear Solid Mechanics Using Reduced Order Models with Gaussian Process Regression

Reference 34

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Observation dd4aba07-f31b-4395-8d5d-e8932cdc8ee7 · outbound

This paper cites Deep-HyROMnet: A Deep Learning-Based Op- erator Approximation for Hyper-Reduction of Nonlinear Par ametrized PDEs.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Deep-HyROMnet: A Deep Learning-Based Op- erator Approximation for Hyper-Reduction of Nonlinear Par ametrized PDEs

Reference 35

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Observation 748bbfac-92a9-486d-a964-d06193546541 · outbound

This paper cites Non-Intrusive Parametric Hyper- Reduction for Nonlinear Structural Finite Ele- ment Formulations.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Non-Intrusive Parametric Hyper- Reduction for Nonlinear Structural Finite Ele- ment Formulations

Reference 36

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Observation 781201dd-d9fa-4790-a829-6c04978e9543 · outbound

This paper cites Hyper-reduction of Mechanical Models Involving Internal Variables.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Hyper-reduction of Mechanical Models Involving Internal Variables

Reference 37

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Observation 44d829ce-ffb4-4582-89e7-d6685a3c774b · outbound

This paper cites Karhunen–Lo` eve Procedur e for Gappy Data.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Karhunen–Lo` eve Procedur e for Gappy Data

Reference 38

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Observation e1f68654-0f33-4fb8-b1f6-b21c1009fa86 · outbound

This paper cites Unsteady Flow Sensing and Estimation via th e Gappy Proper Orthogonal Decomposition.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Unsteady Flow Sensing and Estimation via th e Gappy Proper Orthogonal Decomposition

Reference 39

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Observation bac34f82-f062-48ad-b593-32626bbd90b2 · outbound

This paper cites A ‘Best Point s’ Interpolation Method for Efficient Approx- imation of Parametrized Functions.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A ‘Best Point s’ Interpolation Method for Efficient Approx- imation of Parametrized Functions

Reference 40

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Observation 621bd861-2617-43f6-b110-b9f4f672bfd5 · outbound

This paper cites Missing Point Estimation in Mod els Described by Proper Orthogonal De- composition.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Missing Point Estimation in Mod els Described by Proper Orthogonal De- composition

Reference 41

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Observation 208ad363-4832-4970-8b67-0911c3fe1dd7 · outbound

This paper cites Nonlinea r Model Reduction via Discrete Empirical Interpolation.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Nonlinea r Model Reduction via Discrete Empirical Interpolation

Reference 42

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Observation 32fbc246-8828-4156-8106-853ef007fe61 · outbound

This paper cites DRAFT: A MODI FIED DISCRETE EMPIRICAL IN- TERPOLATION METHOD FOR REDUCING NON-LINEAR STRUCTURAL FIN ITE ELEMENT MODELS.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs DRAFT: A MODI FIED DISCRETE EMPIRICAL IN- TERPOLATION METHOD FOR REDUCING NON-LINEAR STRUCTURAL FIN ITE ELEMENT MODELS

Reference 43

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Observation 63f14cde-ab9e-48e1-aadf-993143c2f45d · outbound

This paper cites S-OPT: A Points Selection Algo rithm for Hyper-Reduction in Reduced Order Models.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs S-OPT: A Points Selection Algo rithm for Hyper-Reduction in Reduced Order Models

Reference 44

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Observation 313577f4-5f83-44b4-ba96-7c196451cd27 · outbound

This paper cites Efficient Non-linear Model Reduction via a Least-squares Petrov–Galerkin Projection and Compressiv e Tensor Approximations.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Efficient Non-linear Model Reduction via a Least-squares Petrov–Galerkin Projection and Compressiv e Tensor Approximations

Reference 45

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Observation cf46b857-cd32-46cd-bfc2-2b46cf5a0027 · outbound

This paper cites The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows

Reference 46

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Observation 032d6e8e-45df-4d74-b316-9e01a66f8ea4 · outbound

This paper cites Gal erkin v. Least-Squares Petrov–Galerkin Pro- jection in Nonlinear Model Reduction.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Gal erkin v. Least-Squares Petrov–Galerkin Pro- jection in Nonlinear Model Reduction

Reference 47

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Observation b01555fc-287e-4b13-9e38-cd57464c4174 · outbound

This paper cites L1-Based Reduced Over Collocation a nd Hyper Reduction for Steady State and Time-Dependent Nonlinear Equations.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs L1-Based Reduced Over Collocation a nd Hyper Reduction for Steady State and Time-Dependent Nonlinear Equations

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Observation 80ef05f6-4f57-411b-b1dd-069ee44e051e · outbound

This paper cites Dimensional Reduction of Nonlin ear Finite Element Dynamic Models with Finite Rotations and Energy-based Mesh Sampling and Weight ing for Computational Efficiency.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Dimensional Reduction of Nonlin ear Finite Element Dynamic Models with Finite Rotations and Energy-based Mesh Sampling and Weight ing for Computational Efficiency

Reference 49

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Observation 22073027-5f50-4192-acef-309daa0213e1 · outbound

This paper cites Statistically Compatible Hyper-R eduction for Computational Homogeniza- tion.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Statistically Compatible Hyper-R eduction for Computational Homogeniza- tion

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Observation f96ae805-b22d-4ded-99ca-b8fe273f5924 · outbound

This paper cites The Reduced Model Multiscale M ethod (R3M) for the Non-Linear Ho- mogenization of Hyperelastic Media at Finite Strains.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs The Reduced Model Multiscale M ethod (R3M) for the Non-Linear Ho- mogenization of Hyperelastic Media at Finite Strains

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Observation 281e1f79-0e38-4cfb-ade8-42a1a1125d6c · outbound

This paper cites Computational Ho mogenization for Nonlinear Conduction in Heterogeneous Materials Using Model Reduction.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Computational Ho mogenization for Nonlinear Conduction in Heterogeneous Materials Using Model Reduction

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Observation 26a294f3-e3a1-4d70-8b4f-33fc93bd7319 · outbound

This paper cites Displacement-Based Multis cale Modeling of Fiber-Reinforced Composites by Means of Proper Orthogonal Decomposition.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Displacement-Based Multis cale Modeling of Fiber-Reinforced Composites by Means of Proper Orthogonal Decomposition

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Observation 16ece238-e3fb-4cfe-8c59-91a87be44e47 · outbound

This paper cites A Tutorial on the Proper Orthogonal Deco mposition.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Tutorial on the Proper Orthogonal Deco mposition

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Observation 1742a0b7-0232-41af-be0a-b3d3e781269f · outbound

This paper cites N onlinear Model Order Reduction Based on Local Reduced-order Bases.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs N onlinear Model Order Reduction Based on Local Reduced-order Bases

Reference 55

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Observation 0cb0415b-6143-44c3-86e1-74168e28f625 · outbound

This paper cites Fast Local Reduced Basis Updates for the Efficient Reduction of Nonlinear Systems with Hyper-Redu ction.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Fast Local Reduced Basis Updates for the Efficient Reduction of Nonlinear Systems with Hyper-Redu ction

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Observation b12fb592-ce63-49b2-9641-256f442a7428 · outbound

This paper cites Model Order Reduction Assisted by Deep Neural Networks (ROM-net).

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Model Order Reduction Assisted by Deep Neural Networks (ROM-net)

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Observation b8e3e4b7-1f02-42d6-a9e0-2880913f54d8 · outbound

This paper cites Physics-Informed Cluster Analys is and a Priori Efficiency Criterion for the Construction of Local Reduced-Order Bases.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Physics-Informed Cluster Analys is and a Priori Efficiency Criterion for the Construction of Local Reduced-Order Bases

Reference 58

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Observation 20c31e6d-13c4-4b7f-9982-03341ddfc3de · outbound

This paper cites Uncertainty Quantification for In dustrial Numerical Simulation Using Dictionar- ies of Reduced Order Models.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Uncertainty Quantification for In dustrial Numerical Simulation Using Dictionar- ies of Reduced Order Models

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Observation 0cb1f8ef-46b4-414d-a8a4-9fce27bfacfb · outbound

This paper cites A Quadratic Manifold for Model Orde r Reduction of Nonlinear Structural Dynam- ics.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Quadratic Manifold for Model Orde r Reduction of Nonlinear Structural Dynam- ics

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Observation 71d7d8c5-d9f2-4bcb-8673-36d633482cdf · outbound

This paper cites Hyper-reduction over nonlinear manifolds for large nonlinear mechanical systems.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Hyper-reduction over nonlinear manifolds for large nonlinear mechanical systems

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Observation 4c502a0d-f927-4de4-80a2-c7da8ff477eb · outbound

This paper cites Quadratic Approxi mation Manifold for Mitigating the Kol- mogorov Barrier in Nonlinear Projection-Based Model Order Reduction.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Quadratic Approxi mation Manifold for Mitigating the Kol- mogorov Barrier in Nonlinear Projection-Based Model Order Reduction

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Observation 7cb08869-c58f-4759-86c2-4f497613ae41 · outbound

This paper cites A Fast and Accurate Physics-Inform ed Neural Network Reduced Order Model with Shallow Masked Autoencoder.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Fast and Accurate Physics-Inform ed Neural Network Reduced Order Model with Shallow Masked Autoencoder

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Observation 4d25e76c-2ced-4d5e-9adc-a69b1c63baa5 · outbound

This paper cites A Com prehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Para metrized PDEs.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Com prehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Para metrized PDEs

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Observation e16c05d7-64da-450b-b487-8e8b0341e934 · outbound

This paper cites POD-DL-ROM: Enha ncing Deep Learning-Based Reduced Order Models for Nonlinear Parametrized PDEs by Proper Orth ogonal Decomposition.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs POD-DL-ROM: Enha ncing Deep Learning-Based Reduced Order Models for Nonlinear Parametrized PDEs by Proper Orth ogonal Decomposition

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Observation 80b0eefd-5d1f-42e5-b659-289666451ab0 · outbound

This paper cites Neura l-Network-Augmented Projection-Based Model Order Reduction for Mitigating the Kolmogorov Barrie r to Reducibility.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Neura l-Network-Augmented Projection-Based Model Order Reduction for Mitigating the Kolmogorov Barrie r to Reducibility

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This paper cites Nonlinear Dimensio nality Reduction by Locally Linear Embed- ding.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Nonlinear Dimensio nality Reduction by Locally Linear Embed- ding

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This paper cites Linear and Nonlinear Dimensionality Reduction from Fluid Mechanics to Machine Learning.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Linear and Nonlinear Dimensionality Reduction from Fluid Mechanics to Machine Learning

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Observation d3633bd8-6cab-4ac8-bf89-61072d0ab130 · outbound

This paper cites Nonlinear Manifold Learning for Model Reduction in Finite Elas- todynamics.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Nonlinear Manifold Learning for Model Reduction in Finite Elas- todynamics

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Observation dba852f8-c455-4485-a5cd-405c5b6dbd59 · outbound

This paper cites Nonlinear Dimensionality Reductio n for Parametric Problems: A Kernel Proper Orthogonal Decomposition.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Nonlinear Dimensionality Reductio n for Parametric Problems: A Kernel Proper Orthogonal Decomposition

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Observation 514ee21b-b585-4c8d-95bf-0cc649b0a256 · outbound

This paper cites Nonlinear Model Reduction via an Adaptive Weighting of Snapshots.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Nonlinear Model Reduction via an Adaptive Weighting of Snapshots

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Observation c15ac1b9-4088-410b-ad96-0d2dfa1de1c7 · outbound

This paper cites VpROM: A novel Variational AutoEncoder-boosted Reduced Order Model for the treatment of parametric dependencies in nonlinear systems.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs VpROM: A novel Variational AutoEncoder-boosted Reduced Order Model for the treatment of parametric dependencies in nonlinear systems

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Observation fb029112-cc4e-4b00-aa31-a13de1eb72d7 · outbound

This paper cites Simulation-Free Hyper-R eduction for Geometrically Nonlinear Struc- tural Dynamics: A Quadratic Manifold Lifting Approach.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Simulation-Free Hyper-R eduction for Geometrically Nonlinear Struc- tural Dynamics: A Quadratic Manifold Lifting Approach

Reference 73

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Observation 1e0e398f-d3ca-4554-8da2-db9e0075c2ae · outbound

This paper cites Empirical sparse regression on quadratic manifolds.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Empirical sparse regression on quadratic manifolds

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Observation 13863afc-0510-46c3-a659-e091492480ac · outbound

This paper cites Hyper-Reduced Autoencoders for Efficient and Accurate Nonlinear Model Reductions.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Hyper-Reduced Autoencoders for Efficient and Accurate Nonlinear Model Reductions

Reference 75

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Observation f517ccae-dbd9-4b76-87aa-35204380c73e · outbound

This paper cites Explicable Hyper-Reduced Order Models on Nonlinearly Approximated Solution Manifolds of Compres sible and Incompressible Navier-Stokes Equations.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Explicable Hyper-Reduced Order Models on Nonlinearly Approximated Solution Manifolds of Compres sible and Incompressible Navier-Stokes Equations

Reference 76

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Observation f03d68f5-73f5-4f03-8aeb-fc0cd57b4224 · outbound

This paper cites Model Reduction of D ynamical Systems on Nonlinear Manifolds Using Deep Convolutional Autoencoders.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Model Reduction of D ynamical Systems on Nonlinear Manifolds Using Deep Convolutional Autoencoders

Reference 77

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This paper cites Non-linear manifold ROM with Convolutional Autoencoders and Reduced Over-Collocation method.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Non-linear manifold ROM with Convolutional Autoencoders and Reduced Over-Collocation method

Reference 78

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Observation 8475af8a-2341-4c83-b5fa-beb3e6b35b72 · outbound

This paper cites Explicable hyper-reduced order models on nonlinearly approximated solution manifolds of compressible and incompressible Navier-Stokes equations.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Explicable hyper-reduced order models on nonlinearly approximated solution manifolds of compressible and incompressible Navier-Stokes equations

Reference 79

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Observation 6f526aaa-3e38-4723-b70a-a1892a3d613d · outbound

This paper cites Numerical Approximation of Parametrized Problems in Cardiac Electrophysiology by a Local Reduced Ba sis Method.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Numerical Approximation of Parametrized Problems in Cardiac Electrophysiology by a Local Reduced Ba sis Method

Reference 80

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Observation d2ab0303-5c63-4f04-97c9-12be967589db · outbound

This paper cites A Local Basis Approximati on Approach for Nonlinear Parametric Model Order Reduction.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Local Basis Approximati on Approach for Nonlinear Parametric Model Order Reduction

Reference 81

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Observation 9d416f62-48cd-4093-bf84-fcdc2cf6cef7 · outbound

This paper cites POD–DEIM Model Or der Reduction for Strain-Softening Vis- coplasticity.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs POD–DEIM Model Or der Reduction for Strain-Softening Vis- coplasticity

Reference 82

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Observation 232bbb4d-fa5b-46e5-a166-7121a44e908c · outbound

This paper cites In Situ Ada ptive Reduction of Nonlinear Multiscale Structural Dynamics Models.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs In Situ Ada ptive Reduction of Nonlinear Multiscale Structural Dynamics Models

Reference 83

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Observation 63f9bd4a-4979-45c6-a45f-b4ccc0e52df3 · outbound

This paper cites A Nonlinear Manifold Model Order R eduction Approach for Thermo-mechanically Coupled Plasticity.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Nonlinear Manifold Model Order R eduction Approach for Thermo-mechanically Coupled Plasticity

Reference 84

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Observation a11563c0-e342-4a35-9af2-11d4b49cec0a · outbound

This paper cites Reduced-Order Modelling and Ho mogenisation in Magneto-Mechanics: A Nu- merical Comparison of Established Hyper-Reduction Method s.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Reduced-Order Modelling and Ho mogenisation in Magneto-Mechanics: A Nu- merical Comparison of Established Hyper-Reduction Method s

Reference 85

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Observation 2f8a3517-2cc0-46fa-ac55-de721b50e736 · outbound

This paper cites Preserv ing Lagrangian Structure in Nonlinear Model Reduction with Application to Structural Dynamics.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Preserv ing Lagrangian Structure in Nonlinear Model Reduction with Application to Structural Dynamics

Reference 86

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Observation 334bbb8d-1cf9-4d13-a69d-b9d9a52d9197 · outbound

This paper cites Struct ure-Preserving Model Reduction for Nonlinear Port-Hamiltonian Systems.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Struct ure-Preserving Model Reduction for Nonlinear Port-Hamiltonian Systems

Reference 87

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Observation 4b083e63-6764-4ce5-8550-008a50b9e90d · outbound

This paper cites Gradient- Preserving Hyper-Reduction of Nonlinear Dy- namical Systems via Discrete Empirical Interpolation.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Gradient- Preserving Hyper-Reduction of Nonlinear Dy- namical Systems via Discrete Empirical Interpolation

Reference 88

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This paper cites Bridging Analytical and Computational Ho- mogenisation for Nonlinear Multiscale Problems: A Reduced Order Modelling Approach for a Damage Problem.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Bridging Analytical and Computational Ho- mogenisation for Nonlinear Multiscale Problems: A Reduced Order Modelling Approach for a Damage Problem

Reference 89

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Observation d090a067-ba24-45c5-8909-472e64003915 · outbound

This paper cites Fast Multiscale Reservoi r Simulations Using POD-DEIM Model Re- duction.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Fast Multiscale Reservoi r Simulations Using POD-DEIM Model Re- duction

Reference 90

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Observation e33188d9-8aeb-4b2e-83f1-073ce4fb9134 · outbound

This paper cites M odel Reduction for Multiscale Lithium-Ion Battery Simulation.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs M odel Reduction for Multiscale Lithium-Ion Battery Simulation

Reference 91

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Observation e5d8ee8a-6c5a-4883-95c0-5fad8cb26631 · outbound

This paper cites Integration Efficiency for Model Reduction in Micro-Mechanical Analyses.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Integration Efficiency for Model Reduction in Micro-Mechanical Analyses

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Observation 2c8ecf69-5ae0-4f1f-86cd-bf68e4f68a39 · outbound

This paper cites A Two-Step Sequential Hyper-R eduction Method for Efficient Concur- rent Nonlinear FE2 Analyses.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Two-Step Sequential Hyper-R eduction Method for Efficient Concur- rent Nonlinear FE2 Analyses

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Observation 53f28609-dce2-43e5-ba41-de95c7f7121c · outbound

This paper cites High Performance Reduced Order M odeling Techniques Based on Optimal Energy Quadrature: Application to Geometrically Non-line ar Multiscale Inelastic Material Modeling.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs High Performance Reduced Order M odeling Techniques Based on Optimal Energy Quadrature: Application to Geometrically Non-line ar Multiscale Inelastic Material Modeling

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Observation 8d57c039-04a7-4d28-946f-fc4c3469f2c9 · outbound

This paper cites Empirical Hyper Element Integration Method (EHEIM) with Unified Integration Criteria for Efficient Hyper Reduced FE$^2$ Simulations.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Empirical Hyper Element Integration Method (EHEIM) with Unified Integration Criteria for Efficient Hyper Reduced FE$^2$ Simulations

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Observation 9ceefb49-d1ba-4eb2-aab3-aeab915f196c · outbound

This paper cites Reduced-Order Modeling for Second-Order Computational Homogenization With Applications to Geometrically Parameterized Elastomeric Metamaterials.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Reduced-Order Modeling for Second-Order Computational Homogenization With Applications to Geometrically Parameterized Elastomeric Metamaterials

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Observation 95136833-202b-416a-84ef-257f07773b61 · outbound

This paper cites Finite Strain Homogeni zation Using a Reduced Basis and Efficient Sampling.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs Finite Strain Homogeni zation Using a Reduced Basis and Efficient Sampling

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Observation 5208bd3e-91ec-4929-8ec8-bdf04587e34a · outbound

This paper cites POD-based Mod el Reduction with Empirical Interpolation Applied to Nonlinear Elasticity.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs POD-based Mod el Reduction with Empirical Interpolation Applied to Nonlinear Elasticity

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Observation 670b854c-3b4d-452d-aeac-200a85770e7a · outbound

This paper cites An Algorithmic Comparison of the H yper-Reduction and the Discrete Empiri- cal Interpolation Method for a Nonlinear Thermal Problem.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs An Algorithmic Comparison of the H yper-Reduction and the Discrete Empiri- cal Interpolation Method for a Nonlinear Thermal Problem

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Observation 8c2e4ca8-2e8b-4cfc-aaa9-038ded4007e0 · outbound

This paper cites A Hyper-Reduction Computation al Method for Accelerated Modeling of Ther- mal Cycling-Induced Plastic Deformations.

A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs A Hyper-Reduction Computation al Method for Accelerated Modeling of Ther- mal Cycling-Induced Plastic Deformations

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Observation e44fb9f6-f2a7-4c76-a783-bcca20ff6add · inbound

Empirical Material Sampling and Linearisation -- A Simple and Efficient Strain-Space Model Order Reduction Approach for Computational Homogenisation in Large-Deformation Hyperelasticity cites this paper.

Empirical Material Sampling and Linearisation -- A Simple and Efficient Strain-Space Model Order Reduction Approach for Computational Homogenisation in Large-Deformation Hyperelasticity A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs

Reference 9

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Efficient strain-space hyperreduction in large-deformation solid mechanics cites this paper.

Efficient strain-space hyperreduction in large-deformation solid mechanics A hyperreduced manifold learning approach to nonlinear model order reduction for the homogenisation of hyperelastic RVEs

Reference 16

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source=pdf_text observed=2026-08-01T12:47:35.335823Z digest=sha256:ce95e7ca0d07c791bdda4de807e96ba715829647786bdbff2b29d635620a5354