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

scholarly journals An FFT Based Fast Poisson Solver on Spherical Shells

2011 ◽  
Vol 9 (3) ◽  
pp. 649-667 ◽  
Author(s):  
Yin-Liang Huang ◽  
Jian-Guo Liu ◽  
Wei-Cheng Wang
Keyword(s):  
Fourier Transform ◽  
Differential Operator ◽  
Constant Coefficient ◽  
Radial Part ◽  
Spherical Shells ◽  
Numerical Examples ◽  
Poisson Solver ◽  
The Poisson Equation ◽  
Change Of Variable ◽  
Fast Poisson Solver

AbstractWe present a fast Poisson solver on spherical shells. With a special change of variable, the radial part of the Laplacian transforms to a constant coefficient differential operator. As a result, the Fast Fourier Transform can be applied to solve the Poisson equation with operations. Numerical examples have confirmed the accuracy and robustness of the new scheme.

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