Mixed HP-finite element approximations on geometric edge and boundary layer meshes in three dimensions

被引：10

作者：

Toselli, A ^{[1
]}

Schwab, C ^{[1
]}

机构：

[1] Swiss Fed Inst Technol, Seminar Appl Math, CH-8092 Zurich, Switzerland

来源：

NUMERISCHE MATHEMATIK | 2003年 / 94卷 / 04期

关键词：

D O I：

10.1007/s00211-002-0393-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Stokes problem in a three-dimensional polyhedral domain discretized with hp finite elements of type Q(k) for the velocity and Q(k-2) for the pressure, defined on hexahedral meshes anisotropically and non quasi-uniformly refined towards faces, edges, and corners. The inf-sup constant of the discretized problem is independent of arbitrarily large aspect ratios. Our work generalizes a recent result for two-dimensional problems in [10, 11].

引用

页码：771 / 801

页数：31

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