Hybrid coupling with operator inference and the overlapping Schwarz alternating method | Paper Citation Record

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This paper cites Quadratic approximation manifold for mitigating the Kol- mogorov barrier in nonlinear projection-based model order reduction.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Quadratic approximation manifold for mitigating the Kol- mogorov barrier in nonlinear projection-based model order reduction

Reference 1

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This paper cites Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility

Reference 2

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This paper cites The Schwarz alternating method for the seamless coupling of nonlinear reduced order models and full order models.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method The Schwarz alternating method for the seamless coupling of nonlinear reduced order models and full order models

Reference 3

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This paper cites A zonal Galerkin-free POD model for incompressible flows.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method A zonal Galerkin-free POD model for incompressible flows

Reference 4

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This paper cites Boresi and Richard J.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Boresi and Richard J

Reference 5

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This paper cites Iterative methods for model reduction by domain decomposition.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Iterative methods for model reduction by domain decomposition

Reference 6

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This paper cites Defining Foundation Models for Computational Science: A Call for Clarity and Rigor.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 7

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This paper cites Train small, model big: Scalable physics simulators via reduced order modeling and domain decomposition.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Train small, model big: Scalable physics simulators via reduced order modeling and domain decomposition

Reference 8

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This paper cites A hybrid method based on POD and domain decomposition to compute the 2-D aerodynamic flow field - incompressible validation.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method A hybrid method based on POD and domain decomposition to compute the 2-D aerodynamic flow field - incompressible validation

Reference 9

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This paper cites A domain decomposition framework for fluid-structure interaction problems.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method A domain decomposition framework for fluid-structure interaction problems

Reference 10

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Hybrid coupling with operator inference and the overlapping Schwarz alternating method Unresolved cited work

Reference 11

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This paper cites Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Kernel manifolds: nonlinear-augmentation dimensionality reduction using reproducing kernel Hilbert spaces

Reference 12

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This paper cites An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition

Reference 13

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This paper cites Evans, and Matteo Giacomini.PGD-based local surrogate models via over- lapping domain decomposition: a computational comparison.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Evans, and Matteo Giacomini.PGD-based local surrogate models via over- lapping domain decomposition: a computational comparison

Reference 14

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This paper cites Model reduction of coupled systems based on non- intrusive approximations of the boundary response maps.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Model reduction of coupled systems based on non- intrusive approximations of the boundary response maps

Reference 15

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This paper cites Domain Decomposition for Data-Driven Reduced Modeling of Large- Scale Systems.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Domain Decomposition for Data-Driven Reduced Modeling of Large- Scale Systems

Reference 16

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This paper cites Schwarz methods over the course of time.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Schwarz methods over the course of time

Reference 17

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This paper cites Operator inference for non-intrusive model reduction with quadratic manifolds.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Operator inference for non-intrusive model reduction with quadratic manifolds

Reference 18

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Observation 9dafe0d1-49ed-4263-858a-3c2d8150740d · outbound

This paper cites Non-intrusive reduced-order modeling for dynamical systems with spatially localized features.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Non-intrusive reduced-order modeling for dynamical systems with spatially localized features

Reference 19

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Observation 7d009766-9c91-4504-8a5e-a95a962011b2 · outbound

This paper cites Variationally Consistent Hamiltonian Model Reduction.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Variationally Consistent Hamiltonian Model Reduction

Reference 20

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This paper cites Lumley, and Gahl Berkooz.Turbulence, Coherent Structures, Dynamical Systems and Symmetry.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Lumley, and Gahl Berkooz.Turbulence, Coherent Structures, Dynamical Systems and Symmetry

Reference 21

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This paper cites Holzapfel.Nonlinear Solid Mechanics: A Continuum Approach for Engineering.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Holzapfel.Nonlinear Solid Mechanics: A Continuum Approach for Engineering

Reference 22

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Observation 65cd5ea8-91a2-4126-8408-a2290c6421ad · outbound

This paper cites Galerkin proper orthogonal decomposition methods for parabolic problems.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Galerkin proper orthogonal decomposition methods for parabolic problems

Reference 23

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Observation 0da802e9-c71e-40a4-8587-4e2362766fa3 · outbound

This paper cites Accessed: 2025-10-31.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Accessed: 2025-10-31

Reference 24

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Hybrid coupling with operator inference and the overlapping Schwarz alternating method Accessed: 2025-10-23

Reference 25

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This paper cites Accessed: 2025-10-23.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Accessed: 2025-10-23

Reference 26

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This paper cites https: //github.com/sandialabs/Norma.jl.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method https: //github.com/sandialabs/Norma.jl

Reference 27

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This paper cites Accessed: 2025-11-07.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Accessed: 2025-11-07

Reference 28

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This paper cites Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

Reference 29

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Observation 028a180b-51c3-4b2f-a600-ee253443a8c7 · outbound

This paper cites D3M: A Deep Domain Decomposition Method for Partial Differential Equations.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method D3M: A Deep Domain Decomposition Method for Partial Differential Equations

Reference 30

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This paper cites Deep Domain Decomposition Method: Elliptic Problems.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Deep Domain Decomposition Method: Elliptic Problems

Reference 31

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Observation e56101e1-a384-4be6-bfc8-8557f9f8dda9 · outbound

This paper cites Separable physics-informed DeepONet: Breaking the curse of dimensionality in physics-informed machine learning.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Separable physics-informed DeepONet: Breaking the curse of dimensionality in physics-informed machine learning

Reference 32

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This paper cites Data-driven reduced-order models via regularised Operator Inference for a single-injector combustion process.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Data-driven reduced-order models via regularised Operator Inference for a single-injector combustion process

Reference 33

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Hybrid coupling with operator inference and the overlapping Schwarz alternating method Unresolved cited work

Reference 34

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This paper cites Domain Decomposition-based coupling of Operator Inference reduced order models via the Schwarz alternating method.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Domain Decomposition-based coupling of Operator Inference reduced order models via the Schwarz alternating method

Reference 35

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This paper cites The Schwarz alternating method in solid mechanics.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method The Schwarz alternating method in solid mechanics

Reference 36

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correction dated 2017-12-06. Source: crossref record 10.1016/j.cma.2017.10.031->10.1016/j.cma.2017.02.006:correction, observed 2026-07-11T03:15:57.465428+00:00. This notice travels one citation hop only.

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This paper cites The Schwarz alternating method for dynamic solid mechanics.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method The Schwarz alternating method for dynamic solid mechanics

Reference 37

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This paper cites A variational, finite-deformation constitutive model for piezoelectric materials.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method A variational, finite-deformation constitutive model for piezoelectric materials

Reference 38

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Observation 290e38c8-e6ce-4320-8f00-4bf1f0ec2d0f · outbound

This paper cites A Fundamentally New Coupled Approach to Contact Mechanics via the Dirichlet-Neumann Schwarz Alternating Method.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method A Fundamentally New Coupled Approach to Contact Mechanics via the Dirichlet-Neumann Schwarz Alternating Method

Reference 39

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Observation aac4b763-46ce-415f-be9d-304b1fb5f2e5 · outbound

This paper cites Finite-element simulation of firearm injury to the human cranium.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Finite-element simulation of firearm injury to the human cranium

Reference 40

Resolution: verified exact; doi, observed 2026-08-03T21:08:18.302714Z

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Observation 4b65e25b-d994-4e11-8e88-2b52effbc550 · outbound

This paper cites Parish, A.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Parish, A

Reference 41

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This paper cites Embedded symmetric positive semi-definite machine-learned elements for reduced-order modeling in finite-element simulations with application to threaded fasteners.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Embedded symmetric positive semi-definite machine-learned elements for reduced-order modeling in finite-element simulations with application to threaded fasteners

Reference 42

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This paper cites Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling

Reference 43

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This paper cites Data-driven operator inference for nonintrusive projection-based model reduction.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Data-driven operator inference for nonintrusive projection-based model reduction

Reference 44

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This paper cites Reduced Operator Inference for Nonlinear Partial Differential Equations.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Reduced Operator Inference for Nonlinear Partial Differential Equations

Reference 45

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Observation 3fbb3a15-8991-4ab5-9abf-d67dcfa97d9e · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 46

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Hybrid coupling with operator inference and the overlapping Schwarz alternating method Unresolved cited work

Reference 47

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Hybrid coupling with operator inference and the overlapping Schwarz alternating method Unresolved cited work

Reference 48

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This paper cites Z¨ urcher u.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Z¨ urcher u

Reference 49

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This paper cites Turbulence and the dynamics of coherent structures, part III: dynamics and scaling.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Turbulence and the dynamics of coherent structures, part III: dynamics and scaling

Reference 50

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Observation 183c92bf-f4d9-47fc-8ebf-881d833a0670 · outbound

This paper cites Domain decomposition-based coupling of physics-informed neural networks via the Schwarz alternating method.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Domain decomposition-based coupling of physics-informed neural networks via the Schwarz alternating method

Reference 51

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This paper cites Anderson Acceleration for Fixed-Point Iterations.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Anderson Acceleration for Fixed-Point Iterations

Reference 52

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This paper cites Mosaic flows: A transferable deep learning framework for solving PDEs on unseen domains.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Mosaic flows: A transferable deep learning framework for solving PDEs on unseen domains

Reference 53

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Hybrid coupling with operator inference and the overlapping Schwarz alternating method Unresolved cited work

Reference 54

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This paper cites The role of interface boundary conditions and sampling strategies for Schwarz-based coupling of projection-based reduced order models.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method The role of interface boundary conditions and sampling strategies for Schwarz-based coupling of projection-based reduced order models

Reference 55

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This paper cites GPTune: A Framework for Automated Hyperparameter Tuning of Machine Learning Models.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method GPTune: A Framework for Automated Hyperparameter Tuning of Machine Learning Models

Reference 56

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This paper cites 2006, pp.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method 2006, pp

Reference 2004

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Observation 9ae41985-84b6-4cc6-8629-5afa4874e0f3 · outbound

This paper cites Time Marching Neural Operator FE Coupling: AI Accelerated Physics Modeling.

Hybrid coupling with operator inference and the overlapping Schwarz alternating method Time Marching Neural Operator FE Coupling: AI Accelerated Physics Modeling

Reference 2025

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