Adaptive sparse interpolation for accelerating nonlinear stochastic reduced-order modeling with time-dependent bases (Q2683419)

scientific article; zbMATH DE number 7653042

Language	Label	Description	Also known as
English	Adaptive sparse interpolation for accelerating nonlinear stochastic reduced-order modeling with time-dependent bases	scientific article; zbMATH DE number 7653042

Statements

instance of

scholarly article

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title

Adaptive sparse interpolation for accelerating nonlinear stochastic reduced-order modeling with time-dependent bases (English)

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author

Mohammad Hossein Naderi

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Hessam Babaee

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published in

Computer Methods in Applied Mechanics and Engineering

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publication date

10 February 2023

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full work available at URL

https://arxiv.org/abs/2207.10656

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zbMATH Keywords

uncertainty quantification (UQ)

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reduced-order models (ROMs)

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time-dependent bases (TDB)

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sparse sampling

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describes a project that uses

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Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients

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Multilevel Monte Carlo Path Simulation

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

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Model Reduction and Approximation

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Dynamic mode decomposition of numerical and experimental data

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Q2957673

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Data-driven reduced modelling of turbulent Rayleigh–Bénard convection using DMD-enhanced fluctuation–dissipation theorem

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

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An observation-driven time-dependent basis for a reduced description of transient stochastic systems

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Dynamically orthogonal field equations for continuous stochastic dynamical systems

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A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems

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A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations. I: Derivation and algorithms

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Real-time reduced-order modeling of stochastic partial differential equations via time-dependent subspaces

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On the equivalence of dynamically orthogonal and bi-orthogonal methods: theory and numerical simulations

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On-the-fly reduced order modeling of passive and reactive species via time-dependent manifolds

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Dynamical Low‐Rank Approximation

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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A new selection operator for the discrete empirical interpolation method -- improved a priori error bound and extensions

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The Discrete Empirical Interpolation Method: Canonical Structure and Formulation in Weighted Inner Product Spaces

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Randomized Discrete Empirical Interpolation Method for Nonlinear Model Reduction

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Localized Discrete Empirical Interpolation Method

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

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Gappy data and reconstruction procedures for flow past a cylinder

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A priori hyperreduction method: an adaptive approach

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Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models

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High-performance model reduction techniques in computational multiscale homogenization

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Two-step greedy algorithm for reduced order quadratures

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

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An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation

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A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder

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Calibration of projection-based reduced-order models for unsteady compressible flows

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Sparse reduced-order modelling: sensor-based dynamics to full-state estimation

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Nonlinear model-order reduction for compressible flow solvers using the discrete empirical interpolation method

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A minimization principle for the description of modes associated with finite-time instabilities

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Stochastic dynamical low-rank approximation method

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Dual dynamically orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions

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A DEIM induced CUR factorization

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CUR matrix decompositions for improved data analysis

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Optimal CUR Matrix Decompositions

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Relative-Error $CUR$ Matrix Decompositions

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Scalable \textit{in situ} compression of transient simulation data using time-dependent bases

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A Hybrid DEIM and Leverage Scores Based Method for CUR Index Selection

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Data-Driven Sparse Sensor Placement for Reconstruction: Demonstrating the Benefits of Exploiting Known Patterns

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A training set subsampling strategy for the reduced basis method

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Stability of Discrete Empirical Interpolation and Gappy Proper Orthogonal Decomposition with Randomized and Deterministic Sampling Points

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Reduced-order description of transient instabilities and computation of finite-time Lyapunov exponents

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CMA.2022.115813

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Sitelinks

Mathematics(1 entry)

mardi Publication:2683419