Dimensions of spline spaces over non-rectangular T-meshes

作者：Zeng, Chao; Wu, Meng; Deng, Fang; Deng, Jiansong^*

来源：Advances in Computational Mathematics, 2016, 42(6): 1259-1286.

DOI：10.1007/s10444-016-9461-4

• Spline
• T-mesh
• Dimension

Spline spaces over rectangular T-meshes have been discussed in many papers. In this paper, we consider spline spaces over non-rectangular T-meshes. The dimension formulae of spline spaces over special simply connected T-meshes have been obtained. For T-meshes with holes, we discover a new type of dimension instability. We construct a relationship between the dimension of the spline space over a T-mesh with holes and the dimension of the spline space over a simply connected T-mesh associated with .

• 出版日期2016-12
• 单位合肥工业大学; 中国科学技术大学