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Single Value Decomposition For Stability Analysis of Nonlinear Poiseuille Flows
Poiseuille flow Stability Bifurcation theory Singular Value Decomposition
2009/10/14
In nonlinear analysis of fluid mechanics problems, small amplitude oscillations near the Hopf bifurcation point are well-described by the Ginzburg-Landau equation. The coecients of the Ginzburg-Landa...
A Frequency Decomposition Time Domain Model of Broadband Frequency-Dependent Absorption
frequency decomposition bandpass Gauss filter broadband ultrasound frequency-dependent attenuation time domain
2010/10/22
This study aims to extend the time-domain model for the frequency-dependent attenuation of a single frequency excitation to a broadband excitation via a finite frequency decomposition. Our model satis...
Parallel finite element domain decomposition for sturctural/acoustic analysis
linear algebra sparse matrix computation parallel computation finite element domain decomposition structures acoustics
2010/3/12
A domain decomposition (DD) formulation for solving sparse linear systems of equations resulting from finite element analysis is presented. The formulation incorporates mixed direct and iterative equa...