A Rational Basis for Function Approximation: II. Curved Sides

Geometric arguments provide a basis for piecewise rational approximationover collections of regions of the type used in finite-elementstudies. The approximation is continous over the collectionof regions and the rational basis functions provide a basisfor linear functions over each element. Conic sides are analysed,and an alternative to isoparametric co-ordinates is described.