A general stability analysis of FIT/FDTD applied to lossy dielectrics and lumped elements

2004 ◽  
Vol 17 (4) ◽  
pp. 407-419 ◽  
Author(s):  
F. Edelvik ◽  
R. Schuhmann ◽  
T. Weiland
Keyword(s):  
Stability Analysis ◽  
General Stability ◽  
Lumped Elements ◽  
Lossy Dielectrics

One-Step Leapfrog ADI-FDTD Method Including Lumped Elements and Its Stability Analysis

2012 ◽  
Vol 11 ◽  
pp. 1406-1409 ◽  
Author(s):  
Xiang-Hua Wang ◽  
Wen-Yan Yin ◽  
Zhizhang Chen ◽  
Shun-Chuan Yang
Keyword(s):  
Stability Analysis ◽  
Fdtd Method ◽  
Lumped Elements ◽  
One Step

A general stability analysis for immiscible viscous displacement in a porous medium

1981 ◽  
Vol 59 (5) ◽  
pp. 678-687 ◽  
Author(s):  
T. J. T. Spanos
Keyword(s):  
Porous Medium ◽  
Stability Analysis ◽  
Wave Equations ◽  
Equations Of Motion ◽  
Immiscible Displacement ◽  
Stability Criteria ◽  
Macroscopic Scale ◽  
Two Fluids ◽  
General Stability ◽  
Inhomogeneous Porous Medium

A perturbation of an immiscible displacement process causes relative motion of the two fluids involved. At the macroscopic scale such relative motions are considered to propagate throughout the porous medium in the form of fluid waves. A description of these waves is given on surfaces of constant saturation in a similar fashion to the description of a surface wave propagating on the interface between two fluids. In the porous medium, however, the wave propagation is not restricted to the surface of constant saturation and as a result one obtains a wave equation that is both dissipative and diffusive.A stability analysis is also considered for the immiscible displacement process. Here, a characteristic time for instability to occur can be calculated when the inertial terms are included in the equations of motion. Also a generalization of the wave equations and stability criteria are considered for an inhomogeneous porous medium.

scholarly journals General stability analysis of synchronized dynamics in coupled systems

2003 ◽  
Vol 67 (2) ◽  
Author(s):  
Yonghong Chen ◽  
Govindan Rangarajan ◽  
Mingzhou Ding
Keyword(s):  
Stability Analysis ◽  
Coupled Systems ◽  
General Stability
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