Extraction of 3D interconnect impedances using edge elements without gauge condition

2003 ◽  
Author(s):  
F. Charlet ◽  
J.F. Carpentier
Keyword(s):  
Gauge Condition ◽  
Edge Elements

Convergence of ICCG method in FEM using edge elements without gauge condition

1997 ◽  
Vol 33 (2) ◽  
pp. 1223-1226 ◽  
Author(s):  
A. Kameari ◽  
K. Koganezawa
Keyword(s):  
Gauge Condition ◽  
Edge Elements

scholarly journals Gravitational and Electromagnetic Perturbations of a Charged Black Hole in a General Gauge Condition

Particles ◽  
2021 ◽  
Vol 4 (2) ◽  
pp. 106-128
Author(s):  
Claudia Moreno ◽  
Juan Carlos Degollado ◽  
Darío Núñez ◽  
Carlos Rodríguez-Leal
Keyword(s):  
Black Hole ◽  
Scalar Function ◽  
Gauge Condition ◽  
Fluid Distribution ◽  
Electromagnetic Signal ◽  
Charged Fluid ◽  
Coupled Equations ◽  
Electromagnetic Signals ◽  
Limiting Case ◽  
Weyl Scalar

We derive a set of coupled equations for the gravitational and electromagnetic perturbation in the Reissner–Nordström geometry using the Newman–Penrose formalism. We show that the information of the physical gravitational signal is contained in the Weyl scalar function Ψ4, as is well known, but for the electromagnetic signal, the information is encoded in the function χ, which relates the perturbations of the radiative Maxwell scalars φ2 and the Weyl scalar Ψ3. In deriving the perturbation equations, we do not impose any gauge condition and as a limiting case, our analysis contains previously obtained results, for instance, those from Chandrashekhar’s book. In our analysis, we also include the sources for the perturbations and focus on a dust-like charged fluid distribution falling radially into the black hole. Finally, by writing the functions on the basis of spin-weighted spherical harmonics and the Reissner–Nordström spacetime in Kerr–Schild type coordinates, a hyperbolic system of coupled partial differential equations is presented and numerically solved. In this way, we completely solve a system that generates a gravitational signal as well as an electromagnetic/gravitational one, which sets the basis to find correlations between them and thus facilitates gravitational wave detection via electromagnetic signals.

scholarly journals Sliding Non-Conforming Interfaces for Edge Elements in Eddy Current Problems

2021 ◽  
pp. 1-1
Author(s):  
K. Roppert ◽  
S. Schoder ◽  
G. Wallinger ◽  
M. Kaltenbacher
Keyword(s):  
Eddy Current ◽  
Edge Elements

scholarly journals A simple algorithm for adaptive refinement of tetrahedral meshes combined with edge elements

1993 ◽  
Vol 29 (2) ◽  
pp. 1898-1901 ◽  
Author(s):  
P. Olszewski ◽  
T. Nakata ◽  
N. Takahashi ◽  
K. Fujiwara
Keyword(s):  
Simple Algorithm ◽  
Adaptive Refinement ◽  
Edge Elements ◽  
Tetrahedral Meshes

THE CONFINEMENT MECHANISM IN YANG–MILLS THEORY?

1999 ◽  
Vol 14 (06) ◽  
pp. 447-457 ◽  
Author(s):  
JOSE A. MAGPANTAY
Keyword(s):  
Gluon Propagator ◽  
Statistical Treatment ◽  
Gauge Condition ◽  
Classical Solutions ◽  
Spherically Symmetric ◽  
Yang Mills ◽  
Effective Dynamics ◽  
Gauge Fixing ◽  
Parallel Surfaces ◽  
Nonlinear Gauge

Using the recently proposed nonlinear gauge condition [Formula: see text] we show the area law behavior of the Wilson loop and the linear dependence of the instantaneous gluon propagator. The field configurations responsible for confinement are those in the nonlinear sector of the gauge-fixing condition (the linear sector being the Coulomb gauge). The nonlinear sector is actually composed of "Gribov horizons" on the parallel surfaces ∂ · Aa=fa≠0. In this sector, the gauge field [Formula: see text] can be expressed in terms of fa and a new vector field [Formula: see text]. The effective dynamics of fa suggests nonperturbative effects. This was confirmed by showing that all spherically symmetric (in 4-D Euclidean) fa(x) are classical solutions and averaging these solutions using a Gaussian distribution (thereby treating these fields as random) lead to confinement. In essence the confinement mechanism is not quantum mechanical in nature but simply a statistical treatment of classical spherically symmetric fields on the "horizons" of ∂ · Aa=fa(x) surfaces.

Dynamic modeling of a newly designed linear actuator using 3D edge elements analysis

1996 ◽  
Vol 32 (3) ◽  
pp. 1633-1636 ◽  
Author(s):  
N. Sadowski ◽  
R. Carlson ◽  
A.M. Beckert ◽  
J.P.A. Bastos
Keyword(s):  
Dynamic Modeling ◽  
Linear Actuator ◽  
Edge Elements
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