Performance of the H-P Version of the Finite Element Method with Various Elements.

摘要

The paper addresses the performance of square elements of type Q(p) and Q'(p) . (The Q(p) resp. Q'(p) are elements of degree p analogous to the well known 9 and 8 noded elements for p = 2.) The performance is analyzed theoretically for the class of analytic functions. Numerical experiments confirm the conclusions drawn from the theory. The computational complexity of a solution algorithm is studied using timings of the computation on an Alliant FX/8 computer. The data show that high order elements are preferable.