COMPARISON OF 2ND-ORDER AND 4TH-ORDER DISCRETIZATIONS FOR MULTIGRID POISSON SOLVERS

Authors
GUPTA MM KOUATCHOU J ZHANG J
Citation
Mm. Gupta et al., COMPARISON OF 2ND-ORDER AND 4TH-ORDER DISCRETIZATIONS FOR MULTIGRID POISSON SOLVERS, Journal of computational physics, 132(2), 1997, pp. 226-232
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics → ACNP
ISSN journal
00219991
Volume
132
Issue
2
Year of publication
1997
Pages
226 - 232
Database
ISI
SICI code
0021-9991(1997)132:2<226:CO2A4D>2.0.ZU;2-1
Abstract
We combine a compact high-order difference approximation with multigri d V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions. This scheme, along with several differ ent orderings of grid space and projection operators, is compared with the five-point formula to shaw the dramatic improvement in computed a ccuracy, on serial and vector machines. (C) 1997 Academic Press.