Interpolatory tensorial reduced order models for parametric dynamical systems (Q2145123)

scientific article; zbMATH DE number 7543711

Language	Label	Description	Also known as
English	Interpolatory tensorial reduced order models for parametric dynamical systems	scientific article; zbMATH DE number 7543711

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instance of

scholarly article

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title

Interpolatory tensorial reduced order models for parametric dynamical systems (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

17 June 2022

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full work available at URL

https://arxiv.org/abs/2111.00649

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zbMATH Keywords

model order reduction

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parametric PDEs

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low-rank tensors

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dynamical systems

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proper orthogonal decomposition

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describes a project that uses

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A survey of model reduction methods for large-scale systems.

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A Survey of Model Reduction by Balanced Truncation and Some New Results

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A survey of projection-based model reduction methods for parametric dynamical systems

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space

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Interpolatory Projection Methods for Parameterized Model Reduction

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A Robust Algorithm for Parametric Model Order Reduction Based on Implicit Moment Matching

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Discovering governing equations from data by sparse identification of nonlinear dynamical systems

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

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION

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Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models

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

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An<i>hp</i>certified reduced basis method for parametrized parabolic partial differential equations

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Nonlinear model order reduction based on local reduced-order bases

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A real time procedure for affinely dependent parametric model order reduction using interpolation on Grassmann manifolds

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Tensor Decompositions and Applications

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A literature survey of low-rank tensor approximation techniques

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Tensor Decomposition for Signal Processing and Machine Learning

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Model Reduction and Approximation

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Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients

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Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data

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A Low-Rank Solver for the Navier--Stokes Equations with Uncertain Viscosity

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Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems

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A two-stage surrogate model for neo-Hookean problems based on adaptive proper orthogonal decomposition and hierarchical tensor approximation

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The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview

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A New Look at Proper Orthogonal Decomposition

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Proper orthogonal decomposition and its applications-part. I: Theory

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Analysis of individual differences in multidimensional scaling via an $n$-way generalization of ``Eckart-Young'' decomposition

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Tensor rank is NP-complete

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Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem

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A Multilinear Singular Value Decomposition

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Tensor-Train Decomposition

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TT-cross approximation for multidimensional arrays

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Tensor completion and low-n-rank tensor recovery via convex optimization

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On tensor completion via nuclear norm minimization

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Efficient Tensor Completion for Color Image and Video Recovery: Low-Rank Tensor Train

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Q4531674

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Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

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Reduced basis approximation for nonlinear parametrized evolution equations based on empirical operator interpolation

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The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows

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Q5330830

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Tensor Spaces and Numerical Tensor Calculus

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Multivariate polynomial approximation in the hypercube

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Approximation rates for the hierarchical tensor format in periodic Sobolev spaces

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Tensor-product approximation to operators and functions in high dimensions

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Q3834473

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Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs

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ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S

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Multilevel tensor approximation of PDEs with random data

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Adaptive stochastic Galerkin FEM with hierarchical tensor representations

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Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients

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<i>A posteriori</i>error bounds for reduced-basis approximations of parametrized parabolic partial differential equations

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CMA.2022.115122

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Sitelinks

Mathematics(1 entry)

mardi Publication:2145123