Stokes elements on cubic meshes yielding divergence-free approximations

被引：0
|
作者：
Michael Neilan
Duygu Sap
机构：
[1] University of Pittsburgh,
来源：
Calcolo | 2016年 / 53卷
关键词：
Stokes; Finite element analysis; Divergence-free; 65N30; 65N12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Conforming piecewise polynomial spaces with respect to cubic meshes are constructed for the Stokes problem in arbitrary dimensions yielding exactly divergence-free velocity approximations. The derivation of the finite element pair is motivated by a smooth de Rham complex that is well-suited for the Stokes problem. We derive the stability and convergence properties of the new elements as well as the construction of reduced elements with less global unknowns.
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页码：263 / 283
页数：20
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