Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases (Q2139039)

scientific article; zbMATH DE number 7527732

Language	Label	Description	Also known as
English	Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases	scientific article; zbMATH DE number 7527732

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instance of

scholarly article

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title

Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases (English)

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Journal of Computational Physics

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publication date

17 May 2022

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full work available at URL

https://arxiv.org/abs/2103.13683

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zbMATH Keywords

local reduced-order bases

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cluster analysis

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dissimilarity measures

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ROM-nets

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describes a project that uses

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Reduced-Order Modeling (ROM) for Simulation and Optimization

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Model reduction for compressible flows using POD and Galerkin projection

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Kolmogorov widths under holomorphic mappings

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Decay of the Kolmogorov $N$-width for wave problems

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Model Order Reduction for Problems with Large Convection Effects

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Adaptive Petrov--Galerkin Methods for First Order Transport Equations

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Double greedy algorithms: Reduced basis methods for transport dominated problems

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An Online Method for Interpolating Linear Parametric Reduced-Order Models

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Reduced-order fluid/structure modeling of a complete aircraft configuration

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Real-time solution of linear computational problems using databases of parametric reduced-order models with arbitrary underlying meshes

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POD basis interpolation via inverse distance weighting on Grassmann manifolds

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Gradient-based constrained optimization using a database of linear reduced-order models

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Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

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An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

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A priori hyperreduction method: an adaptive approach

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Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency

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Dimensional hyper-reduction of nonlinear finite element models via empirical cubature

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Q5617409

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Data Mining

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Randomized linear algebra for model reduction. II: Minimal residual methods and dictionary-based approximation

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Q3366158

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Classes of linear operators. Vol. I

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Turbulence and the dynamics of coherent structures. I. Coherent structures

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Efficient model reduction in nonlinear dynamics using the Karhunen-Loève expansion and dual-weighted-residual methods

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The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena

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Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment

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Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates

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Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling

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Online adaptive basis refinement and compression for reduced-order models via vector-space sieving

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Locally Adaptive Greedy Approximations for Anisotropic Parameter Reduced Basis Spaces

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Adaptive Reduced Basis Methods for Nonlinear Convection–Diffusion Equations

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An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations

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A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space

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Localized Discrete Empirical Interpolation Method

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Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction

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An Algorithm for Euclidean Sum of Squares Classification

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Finding Groups in Data

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Numerical Methods for Computing Angles Between Linear Subspaces

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Packing Lines, Planes, etc.: Packings in Grassmannian Spaces

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Kolmogorov widths and low-rank approximations of parametric elliptic PDEs

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Design of a massively parallel CFD code for complex geometries

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2022.111120

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Sitelinks

Mathematics(1 entry)

mardi Publication:2139039