Tchebycheffian B-splines in isogeometric Galerkin methods

Tchebycheffian splines are smooth piecewise functions whose pieces drawn from (possibly different) Tchebycheff spaces, a natural generalization of algebraic polynomial spaces. They enjoy most the properties known in spline case. In particular, under suitable assumptions, admit representation terms basis functions, called B-splines (TB-splines), completely analogous to B-splines. A particularly interesting subclass consists with belonging null-spaces constant-coefficient linear differential operators. grant freedom combining polynomials exponential and trigonometric any number individual shape parameters. Moreover, they have been recently equipped efficient evaluation manipulation procedures. this paper, we consider use TB-splines operators as an attractive substitute for standard rational NURBS isogeometric Galerkin methods. We discuss how exploit large flexibility geometrical analytical features underlying spaces according problem-driven selection strategies. offer wide robust environment paradigm beyond limits model.