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Using Krylov‐Padé model order reduction for accelerating design optimization of structures and vibrations in the frequency domain

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/nme.2058openalex-snapshot
Fast frequency response computation for Rayleigh damping
inferredcites →https://doi.org/10.1002/nme.2983openalex-snapshot
Updating the Craig–Bampton reduction basis for efficient structural reanalysis
inferredcites →https://doi.org/10.1007/3-540-27909-1_7openalex-snapshot
Arnoldi Methods for Structure-Preserving Dimension Reduction of Second-Order Dynamical Systems
inferredcites →https://doi.org/10.1007/978-0-387-40065-5openalex-snapshot
Numerical Optimization
inferredcites →https://doi.org/10.1007/978-1-4419-5757-3_1openalex-snapshot
Interpolatory Model Reduction of Large-Scale Dynamical Systems
inferredcites →https://doi.org/10.1016/j.cam.2008.05.059openalex-snapshot
A two-directional Arnoldi process and its application to parametric model order reduction
inferredcites →https://doi.org/10.1016/j.jsv.2006.03.024openalex-snapshot
Component mode synthesis (CMS) based on an enriched ritz approach for efficient structural optimization
inferredcites →https://doi.org/10.1016/j.laa.2004.12.013openalex-snapshot
Order reduction of large scale second-order systems using Krylov subspace methods
inferredcites →https://doi.org/10.1016/j.matcom.2004.12.002openalex-snapshot
Parameter independent model order reduction
inferredcites →https://doi.org/10.1016/s0893-9659(99)00063-4openalex-snapshot
A method for generating rational interpolant reduced order models of two-parameter linear systems
inferredcites →https://doi.org/10.1016/s1474-6670(17)31584-7openalex-snapshot
Approximation of Large-Scale Dynamical Systems: An Overview
inferredcites →https://doi.org/10.1017/9781108993456.011openalex-snapshot
Numerical optimization
inferredcites →https://doi.org/10.1017/cbo9780511624278openalex-snapshot
Theory of Shell Structures
inferredcites →https://doi.org/10.1023/a:1011990503369openalex-snapshot
Globally Convergent Variable Metric Method for Nonconvex Nondifferentiable Unconstrained Minimization
inferredcites →https://doi.org/10.1088/0960-1317/15/4/021openalex-snapshot
Efficient optimization of transient dynamic problems in MEMS devices using model order reduction
inferredcites →https://doi.org/10.1090/qam/42792openalex-snapshot
The principle of minimized iterations in the solution of the matrix eigenvalue problem
inferredcites →https://doi.org/10.1109/43.384428openalex-snapshot
Efficient linear circuit analysis by Pade approximation via the Lanczos process
inferredcites →https://doi.org/10.1109/8.929635openalex-snapshot
Reduced-order modeling of multiscreen frequency-selective surfaces using Krylov-based rational interpolation
inferredcites →https://doi.org/10.1109/cicc.2000.852717openalex-snapshot
Multi-dimensional model reduction of VLSI interconnects
inferredcites →https://doi.org/10.1109/iccad.1997.643366openalex-snapshot
PRIMA: passive reduced-order interconnect macromodeling algorithm
inferredcites →https://doi.org/10.1109/iscas.2005.1464831openalex-snapshot
Parametric Model Order Reduction Technique For Design Optimization
inferredcites →https://doi.org/10.1109/tcad.2004.826583openalex-snapshot
A Multiparameter Moment-Matching Model-Reduction Approach for Generating Geometrically Parameterized Interconnect Performance Models
inferredcites →https://doi.org/10.1109/tcad.2005.852660openalex-snapshot
Preserving the film coefficient as a parameter in the compact thermal model for fast electrothermal simulation
inferredcites →https://doi.org/10.1109/tcad.2008.927768openalex-snapshot
Model Order Reduction of Parameterized Interconnect Networks via a Two-Directional Arnoldi Process
inferredcites →https://doi.org/10.1137/040605552openalex-snapshot
Dimension Reduction of Large-Scale Second-Order Dynamical Systems via a Second-Order Arnoldi Method
inferredcites →https://doi.org/10.1137/060666123openalex-snapshot
$\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
inferredcites →https://doi.org/10.1137/08073144xopenalex-snapshot
The Lanczos Method for Parameterized Symmetric Linear Systems with Multiple Right-Hand Sides
inferredcites →https://doi.org/10.1137/1.9780898719604openalex-snapshot
LAPACK Users' Guide
inferredcites →https://doi.org/10.1137/s0895479800380386openalex-snapshot
The Solution of Parametrized Symmetric Linear Systems
inferredcites →https://doi.org/10.1137/s0895479803438523openalex-snapshot
SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem
inferredcites →https://doi.org/10.1137/s0895479899358194openalex-snapshot
A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
inferredcites →https://doi.org/10.1137/s1064827501383373openalex-snapshot
On the Numerical Solution of $(\lambda^2 A + \lambda B + C), x = b$ and Application to Structural Dynamics
inferredcites →https://doi.org/10.1145/1555386.1555391openalex-snapshot
C++ Bindings to External Software Libraries with Examples from BLAS, LAPACK, UMFPACK, and MUMPS
inferredcites →https://doi.org/10.2307/2008014openalex-snapshot
Methods of Numerical Integration.
inferredcites →https://doi.org/10.2514/3.20636openalex-snapshot
Model reduction and control of flexible structures using Krylov vectors
inferredcites →https://doi.org/10.5555/1129601.1129716openalex-snapshot
Parameterized interconnect order reduction with explicit-and-implicit multi-parameter moment matching for inter/intra-die variations
inferredcites →https://doi.org/10.5555/1326073.1326253openalex-snapshot
Parameterized model order reduction via a two-directional Arnoldi process
inferredcites →https://doi.org/10.5555/266388.266423openalex-snapshot
PRIMA: passive reduced-order interconnect macromodeling algorithm

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4674385openalex-extracted
inferred← citeshttps://doi.org/10.1002/nme.4255openalex-snapshot
Model reduction for dynamical systems with quadratic output
inferred← citeshttps://doi.org/10.1002/nme.4797openalex-snapshot
Improving the efficiency of large scale topology optimization through on‐the‐fly reduced order model construction
inferred← citeshttps://doi.org/10.1007/s00158-020-02570-yopenalex-snapshot
Multi-grid reduced-order topology optimization
inferred← citeshttps://doi.org/10.1007/s11071-022-07649-3openalex-snapshot
Estimation of optimal parameters yielding target amplitude–frequency response in nonlinear vibrating systems by a generalised cluster-based algorithm
inferred← citeshttps://doi.org/10.1016/j.aml.2013.01.006openalex-snapshot
Parametric model order reduction of damped mechanical systems via the block Arnoldi process
inferred← citeshttps://doi.org/10.1016/j.apacoust.2013.04.006openalex-snapshot
Predicting the broadband vibroacoustic response of systems subject to aeroacoustic loads by a Krylov subspace reduction
inferred← citeshttps://doi.org/10.1016/j.cam.2013.09.012openalex-snapshot
Parametric dominant pole algorithm for parametric model order reduction
inferred← citeshttps://doi.org/10.1016/j.finel.2013.11.002openalex-snapshot
Adaptive response surface based efficient Finite Element Model Updating
inferred← citeshttps://doi.org/10.1115/1.4028064openalex-snapshot
Reduced-Order Modeling of Torque on a Vertical-Axis Wind Turbine at Varying Tip Speed Ratios
inferred← citeshttps://doi.org/10.1137/120869171openalex-snapshot
Accelerating Optimization of Parametric Linear Systems by Model Order Reduction
inferred← citeshttps://doi.org/10.1137/15m1032831openalex-snapshot
Krylov Approximation of Linear ODEs with Polynomial Parameterization
inferred← citeshttps://doi.org/10.1142/s0218539316500194openalex-snapshot
How Adaptively Constructed Reduced Order Models Can Benefit Sampling-Based Methodsfor Reliability Analyses
inferred← citeshttps://doi.org/10.1186/s40323-019-0134-yopenalex-snapshot
Reduced-order modelling of parametric systems via interpolation of heterogeneous surrogates
inferred← citeshttps://doi.org/10.12989/sem.2015.56.5.707openalex-snapshot
Robust optimization of reinforced concrete folded plate and shell roof structure incorporating parameter uncertainty
inferred← citeshttps://doi.org/10.3390/app14031278openalex-snapshot
Parameter and Topology Optimization of Structures in the Frequency Domain under Nevanlinna–Pick Interpolation Constraints
inferred← citeshttps://doi.org/10.48550/arxiv.1409.2140openalex-snapshot
Model Reduction by Rational Interpolation
inferred← citeshttps://doi.org/10.48550/arxiv.1507.07507openalex-snapshot
Krylov approximation of ODEs with polynomial parameterization
inferred← citeshttps://doi.org/10.48550/arxiv.1908.00820openalex-snapshot
An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models
inferred← citeshttps://doi.org/10.5255/ukda-sn-853003openalex-snapshot
Incentives, expertise, and medical decisions: Testing the robustness of natural frequency framing
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