A posteriorierror estimators for linear reduced-order models using Krylov-based integrators

DOI10.1002/nme.4753zbMath1352.65206OpenAlexW1598863798MaRDI QIDQ2952720

Ulrich Hetmaniuk, David Amsallem

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4753

zbMATH Keywords

error estimationPetrov-Galerkin projectionprojection-based model reductionKrylov-based integratoroff-line/online decomposition

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (6)

Gradient-based constrained optimization using a database of linear reduced-order models ⋮ Efficient model reduction of parametrized systems by matrix discrete empirical interpolation ⋮ A fast, certified and ``tuning free two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems ⋮ Special Issue on Model Reduction ⋮ Damage identification in fiber metal laminates using Bayesian analysis with model order reduction ⋮ Energy Stable Model Reduction of Neurons by Nonnegative Discrete Empirical Interpolation

Uses Software

• ModSpec

Cites Work

• The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
• Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples
• Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
• Exponential integrators
• A block Krylov subspace time-exact solution method for linear ordinary differential equation systems
• An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models
• Efficient reduced models anda posteriorierror estimation for parametrized dynamical systems by offline/online decomposition
• Exponential time integration using Krylov subspaces
• A method for interpolating on manifolds structural dynamics reduced-order models
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Efficient Solution of Parabolic Equations by Krylov Approximation Methods
• Exponential Integrators for Large Systems of Differential Equations
• A New Look at Proper Orthogonal Decomposition
• Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
• Enhanced Proper Orthogonal Decomposition for the Modal Analysis of Homogeneous Structures
• Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
• A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
• Error estimates for Galerkin reduced-order models of the semi-discrete wave equation
• Reduced basis method for finite volume approximations of parametrized linear evolution equations
• Error Estimation for Reduced-Order Models of Dynamical Systems
• Galerkin proper orthogonal decomposition methods for parabolic problems

This page was built for publication: A posteriorierror estimators for linear reduced-order models using Krylov-based integrators