ANALYSIS OF ITERATIVE METHODS FOR THE STEADY AND UNSTEADY STOKES PROBLEM - APPLICATION TO SPECTRAL ELEMENT DISCRETIZATIONS

被引：106

作者：

MADAY, Y

MEIRON, D

PATERA, AT

RONQUIST, EM

机构：

[1] CALTECH, PASADENA, CA 91125 USA

[2] MIT, CAMBRIDGE, MA 02139 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 1993年 / 14卷 / 02期

关键词：

STOKES PROBLEM; UZAWA DECOUPLING; ITERATIVE METHODS; INF-SUP; SPECTRAL ELEMENTS;

D O I：

10.1137/0914020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new and detailed analysis of the basic Uzawa algorithm for decoupling of the pressure and the velocity in the steady and unsteady Stokes operator is presented. The paper focuses on the following new aspects: explicit construction of the Uzawa pressure-operator spectrum for a semiperiodic model problem; general relationship of the convergence rate of the Uzawa procedure to classical inf-sup discretization analysis; and application of the method to high-order variational discretization.

引用

页码：310 / 337

页数：28

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