Model order reduction with Galerkin projection applied to nonlinear optimization with infeasible primal‐dual interior point method
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6181
Abstract: It is not new that model order reduction (MOR) methods are employed in almost all fields of engineering to reduce the processing time of complex computational simulations. At the same time, interior point methods (IPMs),… read more here.
Keywords: galerkin projection; interior point; projection; primal dual ... See more keywords
Exact moments of the Sachdev-Ye-Kitaev model up to order 1/N2
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DOI: 10.1007/jhep04(2018)146
Abstract: A bstractWe analytically evaluate the moments of the spectral density of the q-body Sachdev-Ye-Kitaev (SYK) model, and obtain order 1/N2 corrections for all moments, where N is the total number of Majorana fermions. To order… read more here.
Keywords: exact moments; order; moments sachdev; model ... See more keywords
Randomized model order reduction
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-018-09655-9
Abstract: The singular value decomposition (SVD) has a crucial role in model order reduction. It is often utilized in the offline stage to compute basis functions that project the high-dimensional nonlinear problem into a low-dimensional model… read more here.
Keywords: decomposition; model; order reduction; model order ... See more keywords
Global/local model order reduction in coupled flow and linear thermal-poroelasticity
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DOI: 10.1007/s10596-019-09834-7
Abstract: Coupled flow and geomechanics computations are very complex and require solving large nonlinear systems. Such simulations are intense from both runtime and memory standpoint, which strongly hints at employing model order reduction (MOR) techniques to… read more here.
Keywords: coupled flow; reduction; order; basis ... See more keywords
Semi-analytic contact technique in a non-linear parametric model order reduction method for gear simulations
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DOI: 10.1007/s11012-017-0710-5
Abstract: In this work we present a novel method for the solution of gear contact problems in flexible multi-body. These problems are characterized by significant variation in the location and size of the contact area, typically… read more here.
Keywords: reduction; parametric model; method; model ... See more keywords
Big Data in Experimental Mechanics and Model Order Reduction: Today’s Challenges and Tomorrow’s Opportunities
Sign Up to like & getrecommendations! Published in 2017 at "Archives of Computational Methods in Engineering"
DOI: 10.1007/s11831-017-9234-3
Abstract: Since the turn of the century experimental solid mechanics has undergone major changes with the generalized use of images. The number of acquired data has literally exploded and one of today’s challenges is related to… read more here.
Keywords: big data; today challenges; model; model order ... See more keywords
Model Order Reduction via Moment-Matching: A State of the Art Review
Sign Up to like & getrecommendations! Published in 2021 at "Archives of Computational Methods in Engineering"
DOI: 10.1007/s11831-021-09618-2
Abstract: The past few decades have seen a significant spurt in developing lower-order, parsimonious models of large-scale dynamical systems used for design and control. These surrogate models effectively capture the most interesting dynamic features of the… read more here.
Keywords: model order; moment matching; order; order reduction ... See more keywords
A Krylov subspace method based on multi-moment matching for model order reduction of large-scale second order bilinear systems
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.03.048
Abstract: Abstract In this paper, a Krylov subspace method based on multi-moment matching is utilized for model order reduction of large-scale second order bilinear systems. Accordingly, model order reduction procedure will be directly applied to second… read more here.
Keywords: order; second order; method; model order ... See more keywords
Recursive principal component analysis for model order reduction with application in nonlinear Bayesian filtering
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113334
Abstract: Abstract Proper orthogonal decomposition (POD) is a useful technique for feature extraction, model order reduction and data compression and has been widely used in different science and engineering disciplines. Numerous papers have been published on… read more here.
Keywords: principal component; model order; pod; component analysis ... See more keywords
Model Order Reduction of Glucose-Insulin Homeostasis Using Empirical Gramians and Balanced Truncation
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DOI: 10.1016/j.ifacol.2017.08.2576
Abstract: Abstract In this contribution, a novel method for model order reduction is presented. Since biological systems are often highly nonlinear or having a high number of parameters, the concept of empirical Gramians is considered for… read more here.
Keywords: reduction; model order; order reduction; balanced truncation ... See more keywords
Model Order Reduction for Parameter Dependent Substructured Systems using Krylov Subspaces
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DOI: 10.1016/j.ifacol.2018.03.093
Abstract: Abstract During the development of technical products, different components are usually designed and modelled in different departments leading to a modular setup of technical systems and simulation models. Therefore, it is desirable to perform model… read more here.
Keywords: parameter; model order; order reduction;