Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure (Q6194176)

scientific article; zbMATH DE number 7820256

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English	Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure	scientific article; zbMATH DE number 7820256

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instance of

scholarly article

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title

Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

19 March 2024

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full work available at URL

https://arxiv.org/abs/2307.11138

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zbMATH Keywords

a posteriori error estimation

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model order reduction

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reduced basis method

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ODE solvers

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MaRDI profile type

MaRDI publication profile

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cites work

Data‐driven physics‐based digital twins via a library of component‐based reduced‐order models

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System- and Data-Driven Methods and Algorithms

0 references

Snapshot-Based Methods and Algorithms

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Applications

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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.

0 references

Output bounds for reduced-order approximations of elliptic partial differential equations

0 references

A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations

0 references

A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs

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CERTIFIED REDUCED BASIS METHODS FOR NONAFFINE LINEAR TIME-VARYING AND NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

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Efficient reduced models anda posteriorierror estimation for parametrized dynamical systems by offline/online decomposition

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Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation

0 references

A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems

0 references

An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations

0 references

Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers

0 references

SUNDIALS

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A nonintrusive reduced basis method applied to aeroacoustic simulations

0 references

A non-intrusive reduced basis method for elastoplasticity problems in geotechnics

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

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Nonlinear Model Reduction via Discrete Empirical Interpolation

0 references

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

0 references

A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries

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Double greedy algorithms: Reduced basis methods for transport dominated problems

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A Space-Time Petrov--Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations

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Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction

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Registration-based model reduction of parameterized two-dimensional conservation laws

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Accelerating PDE constrained optimization by the reducedbasis method: application to batch chromatography

0 references

Certified reduced basis method in geosciences. Addressing the challenge of high-dimensional problems

0 references

A reduced basis Kalman filter for parametrized partial differential equations

0 references

Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation

0 references

Reduced Basis Methods for Uncertainty Quantification

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Reduced basis method for finite volume approximations of parametrized linear evolution equations

0 references

Implicit-Explicit Methods for Time-Dependent Partial Differential Equations

0 references

The MATLAB ODE Suite

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Numerical Methods for Ordinary Differential Equations

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A prioriconvergence of the Greedy algorithm for the parametrized reduced basis method

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Kolmogorov widths under holomorphic mappings

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Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem

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Decay of the Kolmogorov \(N\)-width for wave problems

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Identifiers

arXiv ID

2307.11138

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DOI

10.1016/j.cma.2023.116712

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6194176