Performance of the \(h-p\) version of the finite element method with various elements. (English) Zbl 0780.73071
Summary: 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 nine- and eight-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.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
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