LOCALLY GENERATED HERMITIAN C1-SPLINES ON TRIANGULAR MESHES

摘要

We classify all possible local linear procedures on triangular meshes resulting in poly-nomial C1-spline functions with affinely uniform shape conditions for the basic functions at the edges, and fitting the 9 value and gradient data at the vertices of the mesh triangles. There is a unique procedure among them with shape functions and basic polynomials of degree 5 and all other admissible procedures are its perturbations with higher degree. 2010 Mathematics Subject Classification: 65D07; 41A15; 65D15