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# What does FACR stand for?

## FACR stands for Fourier Analysis and Cyclic Reduction

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In this report a computer simulation model in a cylindrical coordinate, in which the FACR (Fourier Analysis and Cyclic Reduction) method is used...
Then, the stream function is obtained by solving the Poisson equation by means of a Fourier method (Fourier Analysis and Cyclic Reduction routine). The...
free magnetic field is enforced exactly by adding a correction, which involves solving a Poisson equation. The Fourier Analysis and Cyclic Reduction...
is solved with a Fourier analysis and cyclic reduction (FACR) routine. This routine limits the choice...
In literature the two most important direct methods for solving the Helmholtz equation are matrix decomposition (or Fourier analysis) and cyclic reduction.
This method uses the Fourier Analysis and cyclic reduction direction by direction. The code will be benchmarked on the double gyre quasi-geostrophic model.
The streamfunction is found from the vorticity by solving the Poisson equation with a Fourier Analysis and Cyclic Reduction; 2D vortex evolution with a...
The potential solver is based on FACR (Fourier Analysis and Cyclic Reduction); Simulation of Space Charge Effects in JPARC Author: K. Ohmi, K. Fan, KEK...
The methods of cyclic reduction, Fourier analysis and cyclic reduction - Fourier analysis for the discrete solution of Poisson's equation on a rectangle.
#183; · Institutional Repository; Algorithms to solve such systems include Fourier analysis and Cyclic Reduction.
It combines Fourier analysis and cyclic reduction to improve the solution speed over either method individually. Five basic steps are required: (1)...
FACR (Fourier Analysis and Cyclic Reduction), has been designed by Heller in [54]. Effective implementations of CR for elliptic equations are given in [90]
analysis) or FACR (Fourier analysis and cyclic reduction) algorithms, are substituted for the two-dimensional solvers. The most effective is the FA solver
FACR (Fourier Analysis and Cyclic Reduction), or relaxation method such as SOR (Successive Over Relaxation) [7]. Once the potential is known, the
(PDE's) (refs. 1 to 5). Based on Fourier analysis and cyclic reduction, FDS algorithms are most effective on a uniform rectangular grid.
the combination of Fourier analysis and cyclic reduction (FACR) techniques. Such techniques have originally been considered in the standard cyclic reduction framework.
Transforming from the spatial domain and restating the PDE is called a spectral method, Fourier analysis and cyclic reduction are combined in the FACR algorithm[2]...
We present the Fourier Analysis and Cyclic Reduction (FACR) method which is faster than the Fourier method or the Cyclic Reduction method alone.
of Planar and Spherical Images MICHAEL KAZHDAN; be solved exactly using the Fourier analysis and cyclic reduction (FACR) method [Press et al. 2007]...
PIC-MCC Simulations of; The equation is solved by the Fourier-Analysis and Cyclic Reduction; transport of ions and electrons is simulated with the PIC...
Algorithms to solve such systems include Fourier analysis and Cyclic Reduction. These solvers are vastly applied in the field of fluid dynamics...
``FACR'' method (Fourier analysis and cyclic reduction): In place of the column vector use its Fourier components, Details: see Hockney 1981, or Vesely 2001.
are solved using a Fourier analysis and cyclic reduction algorithm (in the zonal and meridional directions, re-spectively). To close the momentum balance, two ho...
Transforming from the spatial domain and restating the PDE is called a spectral method, Fourier analysis and cyclic reduction are combined in the FACR algorithm [2]...
combines the methods of Fourier analysis and cyclic reduction. In this paper it is shown that if I 0log2 1g2 n - 1, then the asymptotic operation count for an n X n
19.4 Fourier and Cyclic Reduction Methods for; (Fourier Analysis and Cyclic Reduction).We now consider each method in turn, using equation (19.0.3)...
including the partial fraction expansions, the fast Fourier transform (FFT) approach, and the combination of Fourier analysis and cyclic reduction (FACR) techniques.
separable equations piecewise Hermite cubics Gauss points orthogonal spline collocation almost block diagonal matrices Fourier analysis and cyclic reduction...
diagonal matrices, Fourier analysis and cyclic reduction methods. AMS (MOS) subject classification: 65F05, 65N22, 65N35. 1. Introduction A number...
The potential solver is based on FACR (Fourier Analysis and Cyclic Reduction) algorithm. The boundary is square perfect conducting wall. The potential is