Construction of polynomial spline spaces over T-meshes for its application in isogeometric analysis

Abstract

This dissertation addresses the issue of construction of appropriate spline spaces over T-meshes for its application in Isogeometric Analysis. Our work was motivated by the inability of the B-splines to perform local refinement, which complicates their use for analysis. In this thesis we propose a new strategy for delining cubic tensor product spline blending functions that span spaces suitable for analysis. The technique is designed for hierarchical T-meshes with a quad- and octree sub- division scheme.