计算与应用数学拔尖博士生系列论坛——A Construction of $C^r$ conforming finite element spaces in any dimension
报告人：Qingyu Wu (Peking University)
时间：2021-05-14 12:00-13:00
地点：Room 1418, Sciences Building No. 1
Abstract: This paper proposes a construction of local $C^r$ interpolation spaces and $C^r$ conforming finite element spaces with arbitrary $r$ in any dimension. It is shown that if $k \ge 2^{d}r+1$ the space $\mathcal P_k$ of polynomials of degree $\le k$ can be taken as the shape function space of $C^r$ finite element spaces in $d$ dimensions. This is the first work on constructing such $C^r$ conforming finite elements in any dimension in a unified way. It solves a long-standing open problem in finite element methods.
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