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An alternative high-order finite element formulation for cylindrical field problems

✍ Scribed by P. Daly

Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
478 KB
Volume
19
Category
Article
ISSN
0029-5981

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✦ Synopsis

Earlier formulations of the finite element approach to cylindrical ( r z ) field problems led initially to variational expressions containing a simple term in l / r and consequent attempts to remove it by appropriate choice of interpolation functions. The present paper uses new interpolation functions which ensure that the field behaviour near the axis is correctly modelled. High-order finite elements up to order four are derived and tested on a special cylindrical geometry to confirm, in a practical case, the theoretical claims of improved rates of convergence in solving problems of engineering significance.

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