Efficient strain-space hyperreduction in large-deformation solid mechanics | Paper Citation Record

Observation e08f0cb7-0a7f-4f63-9e66-ba9c443adbd8 · outbound

This paper cites Alkayas, Anup Teejo Mathew, Daniel Feliu-Talegon, Ping Deng, Thomas George Thuruthel, and Federico Renda.

Efficient strain-space hyperreduction in large-deformation solid mechanics Alkayas, Anup Teejo Mathew, Daniel Feliu-Talegon, Ping Deng, Thomas George Thuruthel, and Federico Renda

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This paper cites Optimizing cubature for efficient integration of subspace deformations.ACM transactions on graphics (TOG), 27(5): 1–10, 2008.

Efficient strain-space hyperreduction in large-deformation solid mechanics Optimizing cubature for efficient integration of subspace deformations.ACM transactions on graphics (TOG), 27(5): 1–10, 2008

Reference 2

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This paper cites Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility.Journal of Computational Physics, 492:112420, November 2023.

Efficient strain-space hyperreduction in large-deformation solid mechanics Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility.Journal of Computational Physics, 492:112420, November 2023

Reference 3

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Observation 95ed07c9-9e1c-4531-ba5c-3f81ed05f061 · outbound

This paper cites A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems.SIAM Review, 57(4): 483–531, January 2015.

Efficient strain-space hyperreduction in large-deformation solid mechanics A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems.SIAM Review, 57(4): 483–531, January 2015

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This paper cites Pod– galerkin reduced order methods for combined navier–stokes transport equations based on a hybrid fv-fe solver.Computers & Mathematics with Applications, 79(2):256–273, 2020.

Efficient strain-space hyperreduction in large-deformation solid mechanics Pod– galerkin reduced order methods for combined navier–stokes transport equations based on a hybrid fv-fe solver.Computers & Mathematics with Applications, 79(2):256–273, 2020

Reference 5

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This paper cites Galerkin v.

Efficient strain-space hyperreduction in large-deformation solid mechanics Galerkin v

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This paper cites Sorensen.

Efficient strain-space hyperreduction in large-deformation solid mechanics Sorensen

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This paper cites L1-Based Reduced Over Collo- cation and Hyper Reduction for Steady State and Time-Dependent Nonlinear Equa- tions.Journal of Scientific Computing, 87(1):10, April 2021.

Efficient strain-space hyperreduction in large-deformation solid mechanics L1-Based Reduced Over Collo- cation and Hyper Reduction for Steady State and Time-Dependent Nonlinear Equa- tions.Journal of Scientific Computing, 87(1):10, April 2021

Reference 8

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This paper cites Model order reduction assisted by deep neural networks (ROM-net).Advanced Modeling and Simulation in Engineering Sciences, 7(1):16, December 2020.

Efficient strain-space hyperreduction in large-deformation solid mechanics Model order reduction assisted by deep neural networks (ROM-net).Advanced Modeling and Simulation in Engineering Sciences, 7(1):16, December 2020

Reference 9

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This paper cites Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases.Journal of Computational Physics, 458: 111120, June 2022.

Efficient strain-space hyperreduction in large-deformation solid mechanics Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases.Journal of Computational Physics, 458: 111120, June 2022

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This paper cites Algorithm 832: Umfpack v4.

Efficient strain-space hyperreduction in large-deformation solid mechanics Algorithm 832: Umfpack v4

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This paper cites Nonlinear finite element analysis of solids and structures.

Efficient strain-space hyperreduction in large-deformation solid mechanics Nonlinear finite element analysis of solids and structures

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This paper cites Everson and L.

Efficient strain-space hyperreduction in large-deformation solid mechanics Everson and L

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

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

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

Efficient strain-space hyperreduction in large-deformation solid mechanics Empirical Material Sampling and Linearisation -- A Simple and Efficient Strain-Space Model Order Reduction Approach for Computational Homogenisation in Large-Deformation Hyperelasticity

Reference 17

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Observation 9eeaa8e7-bd06-47f6-820e-42e8865184f4 · outbound

This paper cites Discovering plasticity models without stress data.npj Computational Materials, 8(1):91, 2022.

Efficient strain-space hyperreduction in large-deformation solid mechanics Discovering plasticity models without stress data.npj Computational Materials, 8(1):91, 2022

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This paper cites Automated discovery of generalized standard material models with euclid.Computer Methods in Applied Mechanics and Engineering, 405:115867, 2023.

Efficient strain-space hyperreduction in large-deformation solid mechanics Automated discovery of generalized standard material models with euclid.Computer Methods in Applied Mechanics and Engineering, 405:115867, 2023

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This paper cites Two-stage data-driven homogenization for nonlinear solids using a reduced order model.European Journal of Mechanics - A/Solids, 69: 201–220, May 2018.

Efficient strain-space hyperreduction in large-deformation solid mechanics Two-stage data-driven homogenization for nonlinear solids using a reduced order model.European Journal of Mechanics - A/Solids, 69: 201–220, May 2018

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Observation 0ef44e6e-d121-4b01-9e4d-b27155daaa2c · outbound

This paper cites Reduced basis hybrid computational homog- enization based on a mixed incremental formulation.Computer Methods in Ap- plied Mechanics and Engineering, 260:143–154, June 2013.

Efficient strain-space hyperreduction in large-deformation solid mechanics Reduced basis hybrid computational homog- enization based on a mixed incremental formulation.Computer Methods in Ap- plied Mechanics and Engineering, 260:143–154, June 2013

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This paper cites A pod-galerkin reduced order model for a les filtering approach.Journal of Computational Physics, 436: 110260, 2021.

Efficient strain-space hyperreduction in large-deformation solid mechanics A pod-galerkin reduced order model for a les filtering approach.Journal of Computational Physics, 436: 110260, 2021

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This paper cites Sequential Subspace Mode Adaptation for the Reduced-Order Homogenization of Dissipative Microstructures using E3C Hyper-Reduction.

Efficient strain-space hyperreduction in large-deformation solid mechanics Sequential Subspace Mode Adaptation for the Reduced-Order Homogenization of Dissipative Microstructures using E3C Hyper-Reduction

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This paper cites A multiscale method for periodic structures using domain decompo- sition and ecm-hyperreduction.Computer Methods in Applied Mechanics and Engi- neering, 368:113192, 2020.

Efficient strain-space hyperreduction in large-deformation solid mechanics A multiscale method for periodic structures using domain decompo- sition and ecm-hyperreduction.Computer Methods in Applied Mechanics and Engi- neering, 368:113192, 2020

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This paper cites Hern´ andez, M.A.

Efficient strain-space hyperreduction in large-deformation solid mechanics Hern´ andez, M.A

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This paper cites A complement to neural networks for anisotropic inelasticity at finite strains.Computer Methods in Applied Mechanics and Engineer- ing, 450:118612, 2026.

Efficient strain-space hyperreduction in large-deformation solid mechanics A complement to neural networks for anisotropic inelasticity at finite strains.Computer Methods in Applied Mechanics and Engineer- ing, 450:118612, 2026

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Efficient strain-space hyperreduction in large-deformation solid mechanics Holzapfel

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Efficient strain-space hyperreduction in large-deformation solid mechanics Finite Strain Homogenization Using a Reduced Basis and Efficient Sampling.Mathematical and Computational Applications, 24(2):56, May 2019

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This paper cites Bessa, and Wing Kam Liu.

Efficient strain-space hyperreduction in large-deformation solid mechanics Bessa, and Wing Kam Liu

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Efficient strain-space hyperreduction in large-deformation solid mechanics An efficient mixed variational reduced-order model formulation for nonlinear analyses of elastic shells

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Efficient strain-space hyperreduction in large-deformation solid mechanics Michel and P

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Efficient strain-space hyperreduction in large-deformation solid mechanics Breaking the Kolmogorov Barrier with Nonlinear Model Reduction.Notices of the American Mathematical Society, 69(05):1, May 2022

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Efficient strain-space hyperreduction in large-deformation solid mechanics Model reduction in elastoplasticity: Proper orthogonal decomposition combined with adaptive sub-structuring.Computational Mechanics, 54(3):677–687, September 2014

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Efficient strain-space hyperreduction in large-deformation solid mechanics A clustering-enhanced potential-based reduced order homogenization framework for nonlinear heterogeneous materials.European Journal of Mechanics - A/Solids, 103:105190, 2024

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Efficient strain-space hyperreduction in large-deformation solid mechanics Aspects of Computational Homoge- nization at Finite Deformations: A Unifying Review From Reuss’ to Voigt’s Bound

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Efficient strain-space hyperreduction in large-deformation solid mechanics Habilitation, Universit¨ at Stuffgart, 2000

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Efficient strain-space hyperreduction in large-deformation solid mechanics A Numerical Two-Scale Homogenization Scheme: The FE2-Method

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Efficient strain-space hyperreduction in large-deformation solid mechanics Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition

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Efficient strain-space hyperreduction in large-deformation solid mechanics Empirically corrected cluster cubature (e3c).Computer Meth- ods in Applied Mechanics and Engineering, 437:117779, 2025

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Efficient strain-space hyperreduction in large-deformation solid mechanics E3c hyper-reduction for computational ho- mogenization in nonlinear mechanics.Computational Mechanics, 76(6):1563–1572, 2025

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Efficient strain-space hyperreduction in large-deformation solid mechanics E3C for Computational Homogenization in Nonlinear Mechanics, January 2025

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Efficient strain-space hyperreduction in large-deformation solid mechanics Kafka, and Wing Kam Liu

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Efficient strain-space hyperreduction in large-deformation solid mechanics Springer, 2018

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Efficient strain-space hyperreduction in large-deformation solid mechanics Erik Faust & Lisa Scheunemann37

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