Well‐scaled, a‐posteriori error estimation for model order reduction of large second‐order mechanical systems
DOI10.1002/zamm.201900186OpenAlexW3037042325MaRDI QIDQ6121497
Bernard Haasdonk, Dennis Grunert, Jörg Fehr
Publication date: 27 February 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.201900186
Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A-posteriori error estimation for second order mechanical systems
- An error estimator for separated representations of highly multidimensional models
- Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.
- SVD-based improvements for component mode synthesis in elastic multibody systems
- Comparison of results in flexible multibody dynamics using various approaches
- Error estimation in reduced basis method for systems with time-varying and nonlinear boundary conditions
- On a goal-oriented version of the proper generalized decomposition method
- Geometric element parameterization and parametric model order reduction in finite element based shape optimization
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
- Greedy-based approximation of frequency-weighted Gramian matrices for model reduction in multibody dynamics
- Model reduction of an elastic crankshaft for elastic multibody simulations
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Efficient reduced models anda posteriorierror estimation for parametrized dynamical systems by offline/online decomposition
- An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations
- Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment
- LAPACK Users' Guide
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- A unified derivation and critical review of modal approaches to model reduction
- A set of level 3 basic linear algebra subprograms
- ARPACK Users' Guide
- Model reduction methods based on Krylov subspaces
- On the Reduced Basis Method
- The Scaling and Squaring Method for the Matrix Exponential Revisited
- Dynamical Model Reduction Method for Solving Parameter-Dependent Dynamical Systems
- Error estimates for Galerkin reduced-order models of the semi-discrete wave equation
- A Space-Time Petrov--Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations
- An improved error bound for reduced basis approximation of linear parabolic problems
- Reduced basis method for finite volume approximations of parametrized linear evolution equations
This page was built for publication: Well‐scaled, a‐posteriori error estimation for model order reduction of large second‐order mechanical systems
