MACRO STOKES ELEMENTS ON QUADRILATERALS

被引：0

作者：

Neilan, Michael ^{[1
]}

Sap, Duygu ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15226 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2018年 / 15卷 / 4-5期

关键词：

Finite element analysis; divergence-free; quadrilateral mesh; FINITE-ELEMENTS; PIECEWISE POLYNOMIALS; MASS CONSERVATION; APPROXIMATION; SPACES; FAMILY; GRIDS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a pair of conforming and inf-sup stable finite element spaces for the two-dimensional Stokes problem yielding divergence-free approximations on general convex quadrilateral partitions. The velocity and pressure spaces consist of piecewise quadratic and piecewise constant polynomials, respectively. We show that the discrete velocity and a locally post-processed pressure solution are second-order convergent.

引用

页码：729 / 745

页数：17

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