Results 71 to 80 of about 27,402 (200)

A Guide to Localized Frames and Applications to Galerkin-like Representations of Operators

, 2016
This chapter offers a detailed survey on intrinsically localized frames and the corresponding matrix representation of operators. We re-investigate the properties of localized frames and the associated Banach spaces in full detail.
A. Marcus, C. Kasess, D. Geller, D. Luenberger, E. Cordero, E. Cordero, E. Cordero, E. Cordero, G. Chen, H. Harbrecht, H. Ziegelwanger, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, I. Gohberg, I. Pesenson, I.J. Maddox, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Gröchenig, L. Crone, L. Gaul, M. Fornasier, M. Fornasier, M. Frazier, M. Gosson De, N. Lindholm, O. Christensen, O. Christensen, P. Balazs, P. Balazs, P. Balazs, P. Casazza, P. Casazza, P. Flandrin, P.G. Casazza, Q. Sun, R. Coifman, R. Stevenson, R.M. Balan, S. Brenner, S. Dahlke, S. Dahlke, S. Dahlke, T. Ullrich, W. Dahmen, W. Kreuzer, Y. Meyer   +55 more
core   +1 more source

An Efficient Method for Transient Temperature Calculation in Oil Natural Transformers Based on the Time‐Space Proper Orthogonal Decomposition

High Voltage, EarlyView.
ABSTRACT A reduced‐order model (ROM) for the temperature field based on time‐space proper orthogonal decomposition (POD) is presented to improve the computational efficiency of transient temperature rise in oil‐immersed power transformers with a complete oil natural convection cooling loop.
Haijuan Lan, Wenhu Tang, Zeyi Zhang, Jiahao Gong, Xiongwen Xu, Goran Strbac   +5 more
wiley   +1 more source

Fourier series approximation for the Cauchy singular integral equation

Journal of Numerical Analysis and Approximation Theory, 2018
Using the Fourier series as a projection in the Galerkin method, we approach the solution of the Cauchy singular integral equation. This study is carried in \(L^2\). Numerical examples are developped to show the effectiveness of this method.
Hamid Boulares, Hamza Guebbai, Amira Arbaoui   +2 more
doaj   +2 more sources

Suppressing thermalization and constructing weak solutions in truncated inviscid equations of hydrodynamics: Lessons from the Burgers equation

Physical Review Research, 2020
Finite-dimensional, inviscid equations of hydrodynamics, obtained through a Fourier-Galerkin projection, thermalize with an energy equipartition. Hence, numerical solutions of such inviscid equations, which typically must be Galerkin-truncated, show a ...
Sugan Durai Murugan, Uriel Frisch, Sergey Nazarenko, Nicolas Besse, Samriddhi Sankar Ray   +4 more
doaj   +1 more source

Convergence Analysis and Cost Estimate of an MLMC-HDG Method for Elliptic PDEs with Random Coefficients

Mathematics, 2021
We considered an hybridizable discontinuous Galerkin (HDG) method for discrete elliptic PDEs with random coefficients. By an approach of projection, we obtained the error analysis under the assumption that a(ω,x) is uniformly bounded.
Meng Li, Xianbing Luo
doaj   +1 more source

Optimal Error Estimates for the hp–Version Interior Penalty Discontinuous Galerkin Finite Element Method [PDF]

, 2003
We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) for second-order linear reaction-diffusion equations.
Georgoulis, Emmanuil H., Suli, Endre
core   +2 more sources

Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin, Nina Beranek, Gajendra Babu Budihala, Matthias Mettenleiter, Goksu Oruc, Karsten Urban   +5 more
wiley   +1 more source

-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

Journal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Lee HyunYoung, Shin JunYong, Ohm MiRay
doaj  

On Multiscale Methods in Petrov-Galerkin formulation [PDF]

, 2014
In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomposition of a high dimensional solution space into a low dimensional ...
Elfverson, Daniel, Ginting, Victor, Henning, Patrick   +2 more
core  

Thermoacoustic instability - a dynamical system and time domain analysis

, 2014
This study focuses on the Rijke tube problem, which includes features relevant to the modeling of thermoacoustic coupling in reactive flows: a compact acoustic source, an empirical model for the heat source, and nonlinearities.
Chenadec, Vincent Le, Massot, Marc, Richecoeur, Franck, Sayadi, Taraneh, Schmid, Peter   +4 more
core   +3 more sources