Accuracy of a class of concurrent algorithms for transient finite element analysis

✍ Scribed by Michael Ortiz; Bahram Nour-Omid; Elisa D. Sotelino

• Publisher: John Wiley and Sons
• Year: 1988
• Tongue: English
• Weight: 720 KB
• Volume: 26
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620260207

✦ Synopsis

The accuracy of a new class ofconcurrent procedures for transient finite element analysis is examined. A phase error analysis is carried out which shows that wave retardation leading to unacceptable loss of accuracy may occur if a Courant condition based on the dimensions of the subdomains is violated. Numerical tests suggest that this Courant condition is conservative for typical structural applications and may lead to a marked increase in accuracy as the number of subdomains is increased. Theoretical speed-up ratios are derived which suggest that the algorithms under consideration can be expected to exhibit a performance superior to that of globally implicit methods when implemented on parallel machines.