3 problems

For every nondegenerate planar triangulation $\mathcal{T}$, the dimension of the $C^1$ piecewise-cubic spline space satisfies $\dim S_3^1(\mathcal{T})=P_{\mathcal{T}}(1,3)$, where…

Let $\Delta$ be a triangulation of a simply connected polygonal domain $\Omega\subset\mathbb{R}^2$, let $f_1^\circ$ and $f_0^\circ$ denote the numbers of interior edges and interio…

Weak geometric T-junction conjecture. Then