An experimental investigation of the use of isoparametric and rational basis elements in a fluid flow problem
Abstract
Three competing finite element techniques are applied to a simple flow problem in a region with curved boundaries. Only threesided elements are considered. The techniques are (1) straightsided elements, (2) isoparametric elements, both of which use polynomial bases, and (3) curved elements using rational basis functions. The broad conclusions are that both curvededge techniques are much superior to their straightsided equivalent and that rational basis functions are quite successful in practice but require slightly more effort to implement, and cost a little more in computer time. From the point of view of efficiency, isoparametric elements seem to be the best choice.
 Publication:

International Journal for Numerical Methods in Engineering
 Pub Date:
 April 1982
 DOI:
 10.1002/nme.1620180406
 Bibcode:
 1982IJNME..18..557K
 Keywords:

 Computational Fluid Dynamics;
 Finite Element Method;
 Isoparametric Finite Elements;
 Rational Functions;
 Curvature;
 Errors;
 Incompressible Flow;
 Polynomials;
 Fluid Mechanics and Heat Transfer