An exploration of the new weighted approximation techniques which result from the combination of the finite element method and B-splines.The linear system GU = F is assembled by adding the contributions from each triangle I of the triangulation, i.e., gk, i = aI al IgradBi grad Bk, ... I f Bk. The gradients in the first integral are constant and can be determined by transforming the hat-functions to a standard reference triangle. ... It is customary to describe these finite elements by the parameters which determine the polynomials on each triangle.
|Title||:||Finite Element Methods with B-Splines|
|Publisher||:||SIAM - 2012-12-13|