A note on finite difference discretizations for poisson equation on a disk

Numerical Methods for Partial Differential Equations

Volumn 17, Issue 3, 2001, Pages 199-203

  Lai, Ming Chih ^a  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

Half integered grid; Poisson equation; Polar coordinate singularity

Indexed keywords

EID: 0035340409     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.1     Document Type: Article

References (6)

1. P. N. Swarztrauber and R. A. Sweet, The direct solution of the discrete Poisson equation on a disk, SIAM J Numer Anal 10 (1973), 900.
2. A. Iserles, A first course in the numerical analysis of differential equations, Cambridge University Press, Cambridge, UK, 1996.
3. O. Buneman, A compact non-iterative Poisson solver, Rep. 294, Stanford University Institute for Plasma Research, Stanford, CA, 1969.
4. B. L. Buzbee, G. H. Golub, and C. W. Nielson, On direct methods for solving Poisson's equation, SIAM J Numer Anal 7 (1970), 627.
5. R. A. Sweet, A cyclic reduction algorithm for block tridiagonal systems of arbitrary dimension, SIAM J Numer Anal 14 (1977), 706.
6. U. Schumann and R. A. Sweet, A direct method for the solution of Poisson's equation with Neumann boundary conditions on a staggered grid of arbitrary size, J Comp Phys 20 (1976), 171.