EFFECTS OF COORDINATE TRANSFORMATION AND DIFFERENCING SCHEMES ON MATRIX STRUCTURE AND CONVERGENCE HISTORY

Authors
FORD RA HAMDAN MH GAREY LE
Citation
Ra. Ford et al., EFFECTS OF COORDINATE TRANSFORMATION AND DIFFERENCING SCHEMES ON MATRIX STRUCTURE AND CONVERGENCE HISTORY, Applied mathematics and computation, 77(1), 1996, pp. 53-66
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
77
Issue
1
Year of publication
1996
Pages
53 - 66
Database
ISI
SICI code
0096-3003(1996)77:1<53:EOCTAD>2.0.ZU;2-N
Abstract
Convergence history and its dependence on the direction of discretizat ion are investigated when a boundary value problem is given in a curvi linear domain and the finite differences procedure is used. An attempt is made to determine the best relaxation direction when a near-optima l relaxation parameter is employed. Results emphasize the critical rol e of the grid aspect ratio.