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Performance of the h–p version of the finite element method with various elements

✍ Scribed by I. Babuška; H. C. Elman

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
928 KB
Volume
36
Category
Article
ISSN
0029-5981

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✦ Synopsis

The paper addresses the performance of square elements of type Q ( p ) and Q'(p). ( Q ( p ) and Q ' ( p ) are elements of degree p, analogous to the well-known 9-and 8-noded elements for p = 2.) The performance is analysed 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 very effective for the considered class of solutions.

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