Windowed least-squares model reduction for dynamical systems (Q2127002)

scientific article; zbMATH DE number 7510054

Language	Label	Description	Also known as
English	Windowed least-squares model reduction for dynamical systems	scientific article; zbMATH DE number 7510054

Statements

instance of

scholarly article

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title

Windowed least-squares model reduction for dynamical systems (English)

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Journal of Computational Physics

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publication date

19 April 2022

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full work available at URL

https://arxiv.org/abs/1910.11388

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zbMATH Keywords

reduced-order modeling

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residual minimization

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least-squares

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Petrov-Galerkin

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optimal control

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space-time

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describes a project that uses

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Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier-Stokes equations

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

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Space-Time Galerkin POD with Application in Optimal Control of Semilinear Partial Differential Equations

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

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Enablers for robust POD models

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Finite Element Methods of Least-Squares Type

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A Class of Methods for Solving Nonlinear Simultaneous Equations

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

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A numerical investigation of velocity-pressure reduced order models for incompressible flows

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Adaptive<i>h</i>-refinement for reduced-order models

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Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction

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Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations

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Conservative model reduction for finite-volume models

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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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Preserving Lagrangian Structure in Nonlinear Model Reduction with Application to Structural Dynamics

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Structure-preserving model reduction for nonlinear port-Hamiltonian systems

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Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction

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Residual Minimizing Model Interpolation for Parameterized Nonlinear Dynamical Systems

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A survey of methods available for the numerical optimization of continuous dynamic systems

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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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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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$\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems

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Least-squares finite element methods

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A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations

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Space-time finite element methods for elastodynamics: Formulations and error estimates

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A space-time formulation for multiscale phenomena

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Variational multiscale proper orthogonal decomposition: Navier‐stokes equations

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Jacobian-free Newton-Krylov methods: a survey of approaches and applications.

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Structure-preserving model reduction for mechanical systems

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Q3446096

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Convergence of the forward-backward sweep method in optimal control

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Principal component analysis in linear systems: Controllability, observability, and model reduction

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Multiple shooting method for two-point boundary value problems

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Synthesis of minimum roundoff noise fixed point digital filters

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The adjoint Petrov-Galerkin method for non-linear model reduction

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Q5396710

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

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Characteristic-Galerkin and Galerkin/least-squares space-time formulations for the advection-diffusion equation with time-dependent domains

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Model reduction for compressible flows using POD and Galerkin projection

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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.

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On difference schemes of third order accuracy for nonlinear hyperbolic systems

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GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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Proper orthogonal decomposition closure models for fluid flows: Burgers equation

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A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation

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Neural network closures for nonlinear model order reduction

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A new error bound for reduced basis approximation of parabolic partial differential equations

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Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis <i>a posteriori</i> error bounds

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A space-time hp-interpolation-based certified reduced basis method for Burgers' equation

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2020.109939

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Sitelinks

Mathematics(1 entry)

mardi Publication:2127002