Performance of the h-p Version of the Finite Element Method with Various Elements
MARYLAND UNIV COLLEGE PARK
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The paper addresses the performance of square elements of type Qp and Qp . The Qp resp. Qp 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 FX8 computer. The data show that high order elements are preferable.
- Numerical Mathematics