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A registration method for model order reduction: data compression and geometry reduction [PDF]
SIAM Journal on Scientific Computing, 2019 We propose a general --- i.e., independent of the underlying equation --- registration method for parameterized Model Order Reduction. Given the spatial domain $\Omega \subset \mathbb{R}^d$ and a set of snapshots $\{ u^k \}_{k=1}^{n_{\rm train}}$ over ...
Tommaso Taddei
semanticscholar +1 more source
3 Model order reduction based on moment-matching
System- and Data-Driven Methods and Algorithms, 2021 This is a survey of model order reduction (MOR)methods based onmomentmatching. Moment-matching methods for linear non-parametric and parametric systems are reviewed in detail. Extensions of moment-matching methods to nonlinear systems are also discussed.
P. Benner, Lihong Feng
semanticscholar +1 more source
REDUCED-ORDER MODELLING OF PARAMETERIZED TRANSIENT FLOWS IN CLOSED-LOOP SYSTEMS [PDF]
EPJ Web of Conferences, 2021 In this paper, two Galerkin projection based reduced basis approaches are investigated for the reduced-order modeling of parameterized incompressible Navier-Stokes equations for laminar transient flows. The first approach solves only the reduced momentum
German Péter +3 more
doaj +1 more source
Model Order Reduction by Using Improved Approximation Techniques
Scientific Journal of King Faisal University: Basic and Applied Sciences, 2020 A simplified approach for model order reduction (MOR) is presented in this article using the balanced singular perturbation approximation (BSPA) approach applicable to large-scale linear dynamical (LSLD) systems.
Santosh Kumar Suman, Awadhesh Kumar
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Control-oriented implementation and model order reduction of a lithium-ion battery electrochemical model [PDF]
, 2019 The use of electrochemical models makes it computationally intractable for online implementation as the model is subject to a complicated mathematical structure including partial-differential equations (PDE).
Li, Liuying +3 more
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Efficient Wildland Fire Simulation via Nonlinear Model Order Reduction
Fluids, 2021 We propose a new hyper-reduction method for a recently introduced nonlinear model reduction framework based on dynamically transformed basis functions and especially well-suited for transport-dominated systems.
Felix Black +2 more
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A New Biased Model Order Reduction for Higher Order Interval Systems
Advances in Electrical and Electronic Engineering, 2016 This paper presents a new biased method for order reduction of linear continuous time interval systems. This method is based on the Stability equation method, Pade approximation and Kharitonov’s theorem. The higher order interval system is represented by
Mangipudi Siva Kumar, Gulshad Begum
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Model Order Reduction for Nonlinear IC Models [PDF]
, 2009 Model order reduction is a mathematical technique to transform nonlinear dynamical models into smaller ones, that are easier to analyze. In this paper we demonstrate how model order reduction can be applied to nonlinear electronic circuits. First we give an introduction to this important topic. For linear time-invariant systems there exist already some
Verhoeven, A. +3 more
openaire +3 more sources
Multipoint model order reduction of delayed PEEC systems [PDF]
, 2011 We present a new model order reduction technique for electrically large systems with delay elements, which can be modeled by means of neutral delayed differential equations.
Antonini, Giulio +5 more
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Nonlinear model order reduction via Dynamic Mode Decomposition [PDF]
, 2016 We propose a new technique for obtaining reduced order models for nonlinear dynamical systems. Specifically, we advocate the use of the recently developed Dynamic Mode Decomposition (DMD), an equation-free method, to approximate the nonlinear term.
Alla, Alessandro, Kutz, J. Nathan
core +2 more sources