STABILITY OF HIGHER-ORDER HOOD-TAYLOR METHODS

被引：131

作者：

BREZZI, F

FALK, RS

机构：

[1] PURDUE UNIV, CTR APPL MATH, W LAFAYETTE, IN 47907 USA

[2] RUTGERS STATE UNIV, DEPT MATH, NEW BRUNSWICK, NJ 08903 USA

[3] UNIV PAVIA, DIPARTIMENTO MECCAN STRUTTURALE, I-27100 PAVIA, ITALY

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1991年 / 28卷 / 03期

关键词：

STOKES; FINITE ELEMENT;

D O I：

10.1137/0728032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The stability of a higher-order Hood-Taylor method for the approximation of the stationary Stokes equations using continuous piecewise polynomials of degree 3 to approximate velocities and continuous piecewise polynomials of degree 2 to approximate the pressure is proved. This result implies that the standard finite element method using these spaces satisfies a quasi-optimal error estimate. The technique used may also be applied to prove the stability of Hood-Taylor rectangular elements of arbitrary degree k for velocities and k - 1 for pressure in each variable.

引用

页码：581 / 590

页数：10

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