Three-variable alternating-direction-implicit iteration

✍ Scribed by E.L. Wachspress

• Book ID: 103931364
• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 500 KB
• Volume: 27
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(94)90040-x

✦ Synopsis

Alternating-Direction-Implicit (ADI) iteration may be applied with more than two directions, but the theory is more definitive with only two directions. Although three-spac+dimension elliptic boundary-value problems have been solved with three-direction AD1 iteration, an alternative two-direction approach is described here. Two of the three dimensions are treated jointly with an inner AD1 iteration. The interaction of this inner iteration with an outer AD1 iteration acting on the dimensions treated jointly and the third dimension is examined.