摘要
我们基于四维空间一般单纯形网格构造了一族可微的分片k(k>=17)次多项式有限元.这类光滑有限元空间具有最优阶逼近性.作为副产品,我们得到一族三维的四面体网格上C^2-Pk有限元.
A family of differentiable piecewise polynomials of degree k, for all k ≥ 17, on general 4D simplicial grids, is constructed. Such a finite element space assumes full order of approx- imation. As a byproduct, we obtain a family of special 3D C2-Pk elements on t.etrahedral grids.
出处
《计算数学》
CSCD
北大核心
2016年第3期309-324,共16页
Mathematica Numerica Sinica
关键词
有限元
高阶元
光滑有限元
单纯形网格
四面体网格
finite element, high order element, differentiable element, simplicial grid,tetrahedral grid
