Fast Poisson solver in a three-dimensional ellipsoid

2003 ◽  
pp. 203-208
Author(s):  
Ming-Chih Lai
Keyword(s):  
Three Dimensional ◽  
Poisson Solver ◽  
Fast Poisson Solver

A Domain-Decomposed Fast Poisson Solver on a Rectangle

1987 ◽  
Vol 8 (1) ◽  
pp. s14-s26 ◽  
Author(s):  
Tony F. Chan ◽  
Diana C. Resasco
Keyword(s):  
Poisson Solver ◽  
Fast Poisson Solver

Interaction of Transient Waves With a Circular Surface-Piercing Body

1995 ◽  
Vol 117 (3) ◽  
pp. 382-388 ◽  
Author(s):  
Xing Yu ◽  
Ronald W. Yeung
Keyword(s):  
Large Time ◽  
Fluid Motion ◽  
Three Dimensional ◽  
Transient Waves ◽  
Generalized Poisson ◽  
Poisson Solver ◽  
Potential Applications ◽  
Circular Surface ◽  
High Degree ◽  
Pseudo Spectral

A pseudo-spectral formulation for solving unsteady, three-dimensional fluid motion with a free surface in cylindrical coordinates is presented. An effective method for treating the Laplace equation, as a special application of a generalized Poisson solver, is developed. This approach is demonstrated by studying the evolution of transient surface waves near a vertical circular cylinder enclosed in open or closed domains. Results are observed to have a high degree of precision and spatial resolution even at large time. Potential applications of this method to other problems are discussed.

scholarly journals 3D Parallel Monte Carlo Simulation of GaAs MESFETs

VLSI Design ◽  
1998 ◽  
Vol 6 (1-4) ◽  
pp. 273-276 ◽  
Author(s):  
S. Pennathur ◽  
Can K. Sandalci ◽  
Çetin K. Koç ◽  
S. M. Goodnick
Keyword(s):  
Monte Carlo ◽  
Three Dimensional ◽  
Scaling Properties ◽  
Multigrid Algorithm ◽  
Spatial Decomposition ◽  
Poisson Solver ◽  
Signal Parameters ◽  
Device Structures ◽  
3D Effects ◽  
Third Dimension

We have investigated three-dimensional (3D) effects in sub-micron GaAs MESFETs using a parallel Monte Carlo device simulator, PMC-3D [1]. The parallel algorithm couples a standard Monte Carlo particle simulator for the Boltzmann equation with a 3D Poisson solver using spatial decomposition of the device domain onto separate processors. The scaling properties of the small signal parameters have been simulated for both the gate width in the third dimension as well as the gate length. For realistic 3D device structures, we find that the main performance bottleneck is the Poisson solver rather than the Monte Carlo particle simulator for the parallel successive overrelaxation (SOR) scheme employed in [1]. A parallel multigrid algorithm is reported and compared to the previous SOR implementation, where considerable speedup is obtained.

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