A numerical comparison of high order transformation and isoparametric transformation methods

✍ Scribed by Robin J.Y. McLeod; R. Murphy

• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 495 KB
• Volume: 5
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(79)90085-3

✦ Synopsis

A numerical comparison is made between the quadratic isoparametric transformation method and a second order example of a high order transformation method for the model problem of Laplace's equation on curved domains. Three curved domains are considered and numerical results for several trial solutions are given. Significantly improved accuracy is attained by the high order transformation method. A finer element discretisation is chosen for one of the domains resulting ,in more than twice the number of variables. The errors using the high order transformation method on the original mesh remain significantly smaller than those given by the isoparametric method used on the finer mesh.