Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media | Paper Citation Record

Observation c989cf23-2a90-4cbd-880f-5e6892cd8e8c · outbound

This paper cites An online method for interpolating linear parametric reduced-order models.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media An online method for interpolating linear parametric reduced-order models

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This paper cites Dynamics of Fluids in Porous Media.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Dynamics of Fluids in Porous Media

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Observation 0ca9acfc-1335-462f-bb09-2d6b415d24eb · outbound

This paper cites Generalized multiscale approximation of mixed finite elements with velocity elimination for subsurface flow.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Generalized multiscale approximation of mixed finite elements with velocity elimination for subsurface flow

Reference 3

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Observation 3954b27c-23ac-4d6f-9719-04c7677244bd · outbound

This paper cites Prediction of multiscale features using deep learning-based preconditioner-solver architecture for darcy equation in high-contrast media.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Prediction of multiscale features using deep learning-based preconditioner-solver architecture for darcy equation in high-contrast media

Reference 4

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Observation 68da1fa9-e978-4a70-bff8-53e53e1da19c · outbound

This paper cites An innovative application of deep learning in multiscale modeling of subsurface fluid flow: Reconstructing the basis functions of the mixed gmsfem.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media An innovative application of deep learning in multiscale modeling of subsurface fluid flow: Reconstructing the basis functions of the mixed gmsfem

Reference 5

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Observation 23a36f3f-2bf8-4086-84d7-f65fcc38f96a · outbound

This paper cites Deep ensemble learning for high-dimensional subsurface fluid flow modeling.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Deep ensemble learning for high-dimensional subsurface fluid flow modeling

Reference 6

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Observation b5dea63e-0c83-4e87-8038-3a7e661ee096 · outbound

This paper cites Constraint energy minimizing gener- alized multiscale finite element method.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Constraint energy minimizing gener- alized multiscale finite element method

Reference 7

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Observation 33b5a7ec-875e-4afe-9b0d-4ba142652f34 · outbound

This paper cites An adaptive gmsfem for high-contrast flow problems.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media An adaptive gmsfem for high-contrast flow problems

Reference 8

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Observation b5c8995e-631d-44ae-8573-786309bb8a42 · outbound

This paper cites Mixed generalized multiscale finite element methods and applications.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Mixed generalized multiscale finite element methods and applications

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Observation e79d3b14-1ca5-44f7-941d-ea33e5ec7cb4 · outbound

This paper cites Fast online generalized multiscale finite element method using constraint energy minimization.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Fast online generalized multiscale finite element method using constraint energy minimization

Reference 10

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Observation 01687945-ea7e-471b-8ca9-dd8e3d1691eb · outbound

This paper cites Generalized multiscale finite element methods with energy minimizing oversampling.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Generalized multiscale finite element methods with energy minimizing oversampling

Reference 11

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Observation 4ddf20c9-55ef-462c-8aca-fe5405310f04 · outbound

This paper cites Two-level overlapping schwarz algo- rithms for a staggered discontinuous galerkin method.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Two-level overlapping schwarz algo- rithms for a staggered discontinuous galerkin method

Reference 12

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Observation 4c547270-d9f1-412b-8725-8f5a294fdb92 · outbound

This paper cites A preconditioner for substructuring based on constrained en- ergy minimization.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media A preconditioner for substructuring based on constrained en- ergy minimization

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Observation 32ea57ad-4b78-452e-8ba5-62b84a308cec · outbound

This paper cites Generalized multiscale finite element methods (gmsfem).

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Generalized multiscale finite element methods (gmsfem)

Reference 14

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Observation d6bfd40d-4322-43e5-b23c-8a3e7732a369 · outbound

This paper cites Multiscale finite element methods for porous media flows and their applications.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Multiscale finite element methods for porous media flows and their applications

Reference 15

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Observation ea396cbd-b71b-4e14-9d50-1fab7f1af21b · outbound

This paper cites Multiscale finite element methods: theory and applica- tions.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Multiscale finite element methods: theory and applica- tions

Reference 16

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Observation 302b0b48-dc37-4e5a-89e5-5e03cfb31e27 · outbound

This paper cites Convergence of a nonconforming multiscale finite element method.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Convergence of a nonconforming multiscale finite element method

Reference 17

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Observation bab8bb18-3c03-4650-abc4-bc2082d02ae8 · outbound

This paper cites An adaptive preconditioner for three-dimensional single-phase compressible flow in highly heterogeneous porous media.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media An adaptive preconditioner for three-dimensional single-phase compressible flow in highly heterogeneous porous media

Reference 18

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Observation ee3e9e27-c302-4695-a5f6-7b7b649110cf · outbound

This paper cites An efficient multiscale preconditioner for large- scale highly heterogeneous flow.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media An efficient multiscale preconditioner for large- scale highly heterogeneous flow

Reference 19

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Observation 33a35cd9-47cc-4a99-887c-883265d4d513 · outbound

This paper cites Application of the karhunen-loeve expansion to feature selection and ordering.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Application of the karhunen-loeve expansion to feature selection and ordering

Reference 20

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Observation 28f73fd7-6e2a-45c8-bdb2-eef3f3843595 · outbound

This paper cites Domain decomposition preconditioners for multiscale flows in high-contrast media.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Domain decomposition preconditioners for multiscale flows in high-contrast media

Reference 21

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Observation 20ec8f5d-d9e8-4643-8272-2dfa89cc980b · outbound

This paper cites A multiscale finite element method for numerical ho- mogenization.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media A multiscale finite element method for numerical ho- mogenization

Reference 22

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Observation 315b5205-8649-458b-9357-51653214a6c9 · outbound

This paper cites A family of multiscale hybrid-mixed finite element methods for the darcy equation with rough coefficients.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media A family of multiscale hybrid-mixed finite element methods for the darcy equation with rough coefficients

Reference 23

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Observation 81888e14-f3ec-4fb2-98a1-ff433fbef462 · outbound

This paper cites A multiscale finite element method for elliptic problems in composite materials and porous media.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media A multiscale finite element method for elliptic problems in composite materials and porous media

Reference 24

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Observation a0e841fc-3002-4e7b-9d14-4e5f0f9da749 · outbound

This paper cites Homogenization of differential operators and integral functionals.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Homogenization of differential operators and integral functionals

Reference 25

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This paper cites Adam: A Method for Stochastic Optimization.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Adam: A Method for Stochastic Optimization

Reference 26

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This paper cites Neural operator: Learning maps between function spaces with applications to pdes.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Neural operator: Learning maps between function spaces with applications to pdes

Reference 27

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This paper cites Dual-domain deep learning method to accelerate local basis functions computation for reservoir simulation in high-contrast porous media.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Dual-domain deep learning method to accelerate local basis functions computation for reservoir simulation in high-contrast porous media

Reference 28

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Observation 859736d4-cc0c-4eda-82cb-40f411f8c5f4 · outbound

This paper cites Hybrid two-stage reconstruction of multiscale subsur- face flow with physics-informed residual connected neural operator.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Hybrid two-stage reconstruction of multiscale subsur- face flow with physics-informed residual connected neural operator

Reference 29

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Observation e14e5529-a89a-4019-8f44-6f00b4915a6f · outbound

This paper cites Multiscale subsurface flow in the era of deep learning: A review.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Multiscale subsurface flow in the era of deep learning: A review

Reference 30

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Observation b3265c49-1f1f-4e17-8d2f-098d07455efa · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Fourier Neural Operator for Parametric Partial Differential Equations

Reference 31

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This paper cites Physics-informed neural operator for learning partial differential equations.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Physics-informed neural operator for learning partial differential equations

Reference 32

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Observation c7d4298b-be1c-4a6c-957b-0bba30ec9a36 · outbound

This paper cites Adaptive pseudo-solution-assisted pinns for multiscale darcy and darcy-forchheimer equations.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Adaptive pseudo-solution-assisted pinns for multiscale darcy and darcy-forchheimer equations

Reference 33

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This paper cites Learning a generalized multiscale prolongation operator.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Learning a generalized multiscale prolongation operator

Reference 34

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This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Learning nonlinear operators via deeponet based on the universal approximation theorem of operators

Reference 35

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Observation 9684dd49-a9b3-44cc-bc5c-8fd29c4d7755 · outbound

This paper cites A comprehensive and fair comparison of two neural operators (with practical extensions) based on fair data.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media A comprehensive and fair comparison of two neural operators (with practical extensions) based on fair data

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Observation 87f2cfc0-ce9d-465d-9eae-0d942d816451 · outbound

This paper cites Reduced order methods for modeling and computa- tional reduction.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Reduced order methods for modeling and computa- tional reduction

Reference 37

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Observation 3c8d4dcf-791b-499e-9650-99d750c4d56a · outbound

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

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 38

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Observation fa875cf3-81bb-4ab6-94f6-da8c2ae45f99 · outbound

This paper cites U-net: Convolutional networks for biomedical image segmentation, in: Medical Image Computing and Computer-Assisted Intervention – MICCAI 2015.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media U-net: Convolutional networks for biomedical image segmentation, in: Medical Image Computing and Computer-Assisted Intervention – MICCAI 2015

Reference 39

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Observation 276f6489-96f6-4537-9e41-28852a5daa6a · outbound

This paper cites Upscaling hydraulic conductivities in heteroge- neous media: An overview.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media Upscaling hydraulic conductivities in heteroge- neous media: An overview

Reference 40

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Observation 0d1a7c7b-7d73-473d-af07-8652d4ac9371 · outbound

This paper cites A two-grid preconditioner with an adaptive coarse space for flow simulations in highly heterogeneous media.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media A two-grid preconditioner with an adaptive coarse space for flow simulations in highly heterogeneous media

Reference 41

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Observation 4985f611-33f7-4145-905b-4d204673dafd · outbound

This paper cites An adaptive generalized multiscale finite element methodbasedtwo-gridpreconditionerforlargescalehigh-contrastlinearelasticityprob- lems.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media An adaptive generalized multiscale finite element methodbasedtwo-gridpreconditionerforlargescalehigh-contrastlinearelasticityprob- lems

Reference 42

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Observation 202df563-5418-434c-b69b-5fc91ccd3f69 · outbound

This paper cites A robust two-level overlapping precon- ditioner for darcy flow in high-contrast media.

Applying Two-Grid Preconditioner for Subsurface Flow Simulation using Attention-enhanced Hybrid Network to Accelerate Multiscale Discretization in High-contrast Media A robust two-level overlapping precon- ditioner for darcy flow in high-contrast media

Reference 43

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