Reduced order models based on local POD plus Galerkin projection [PDF]
Journal of Computational Physics, 2010 A method is presented to accelerate numerical simulations on parabolic problems using a numerical code and a Galerkin system (obtained via POD plus Galerkin projection) on a sequence of interspersed intervals. The lengths of these intervals are chosen according to several basic ideas that include an a priori estimate of the error of the Galerkin ...
Rapun Banzo, Maria Luisa +1 more
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Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction [PDF]
Journal of Computational Physics, 2017 Submitted to Journal of Computational ...
Carlberg, Kevin +2 more
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Physics-driven proper orthogonal decomposition: A simulation methodology for partial differential equations [PDF]
MethodsX, 2023 A simulation methodology derived from a learning algorithm based on Proper Orthogonal Decomposition (POD) is presented to solve partial differential equations (PDEs) for physical problems of interest.
Alessandro Pulimeno +6 more
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Non-polynomial Galerkin projection on deforming meshes [PDF]
ACM Transactions on Graphics, 2013 This paper extends Galerkin projection to a large class of non-polynomial functions typically encountered in graphics. We demonstrate the broad applicability of our approach by applying it to two strikingly different problems: fluid simulation and radiosity rendering, both using deforming meshes.
Matt Stanton +6 more
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Energetic Galerkin Projection of Electromagnetic Fields Between Different Meshes [PDF]
IEEE Transactions on Magnetics, 2014 published at Compumag ...
Wang, Zifu +4 more
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Galerkin Projection Methods for Solving Multiple Linear Systems [PDF]
SIAM Journal on Scientific Computing, 1999 The paper is devoted to solve multiple linear systems \(A^{(i)}x^{(i)}=b^{(i)}\), \(1 \leq i \leq s\), with different coefficient matrices and different right-hand sides. Two important practical situations are considered, namely, the eigenvectors of the coefficient matrices are the same and the coefficient matrices differ by rank-1 or rank-2 matrices ...
Chan, Tony F., Ng, Michael
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Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction [PDF]
SIAM Journal on Scientific Computing, 2019 Accepted to the SIAM Journal on Scientific ...
Choi, Youngsoo, Carlberg, Kevin
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Hybridizable discontinuous Galerkin projection methods for Navier–Stokes and Boussinesq equations [PDF]
Journal of Computational Physics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M.P. Ueckermann, P.F.J. Lermusiaux
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On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows [PDF]
Frontiers in Physics, 2022 High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can still be required for variable-density flows with under-resolved features.
Jesse Chan +5 more
doaj +2 more sources
POD-Galerkin FSI Analysis for Flapping Motion [PDF]
Biomimetics, 2023 FSI simulations of flapping motions have been widely investigated to develop a flapping-wing micro air vehicle. Because an intensive parametric study is important for the product design, a computationally efficient model is required.
Shigeki Kaneko, Shinobu Yoshimura
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