Results 21 to 30 of about 27,402 (200)
Journal of Modern Power Systems and Clean Energy, 2021 In power systems, there are many uncertainty factors such as power outputs of distributed generations and fluctuations of loads. It is very beneficial to power system analysis to acquire an explicit function describing the relationship between these ...
Hao Wu +5 more
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Reduced Order Modelling of Shigesada-Kawasaki-Teramoto Cross-Diffusion Systems
Journal of Mathematical Sciences and Modelling, 2023 Shigesada-Kawasaki-Teramoto (SKT) is the most known equation in population ecology for nonlinear cross-diffusion systems. The full order model (FOM) of the SKT system is constructed using symmetric interior penalty discontinuous Galerkin method (SIPG ...
Gülden Mülayim
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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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Journal of Harbin University of Science and Technology, 2022 The equivalence between direct flux reconstruction method and discontinuous Galerkin method for solving parabolic equation and convection-diffusion equation is studied.
BI Hui, LIU Lei
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The convergence of Galerkin–Petrov methods for Dirichlet projections
Annals of Functional Analysis, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li He, Yifang Li, Yiyuan Zhang
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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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Interpolation, Projection and Hierarchical Bases in Discontinuous Galerkin Methods [PDF]
Numerical Mathematics: Theory, Methods and Applications, 2015 AbstractThe paper presents results on piecewise polynomial approximations of tensor product type in Sobolev-Slobodecki spaces by various interpolation and projection techniques, on error estimates for quadrature rules and projection operators based on hierarchical bases, and on inverse inequalities.
Angermann, Lutz, Henke, Christian
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Stability Preservation in Stochastic Galerkin Projections of Dynamical Systems [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2019 In uncertainty quantification, critical parameters of mathematical models are substituted by random variables. We consider dynamical systems composed of ordinary differential equations. The unknown solution is expanded into an orthogonal basis of the random space, e.g., the polynomial chaos expansions.
Pulch, Roland, Augustin, Florian
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A Hybrid Approach for Model Order Reduction of Barotropic Quasi-Geostrophic Turbulence
Fluids, 2018 We put forth a robust reduced-order modeling approach for near real-time prediction of mesoscale flows. In our hybrid-modeling framework, we combine physics-based projection methods with neural network closures to account for truncated modes.
Sk. Mashfiqur Rahman +2 more
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