Least-squares spectral collocation method for the stokes equations

被引：14

作者：

Kim, SD ^{[1
]}

Lee, HC

Shin, BC

机构：

[1] Kyungpook Natl Univ, Dept Math, Coll Nat Sci, Taejon 702701, South Korea

[2] Ajou Univ, Dept Math, Suwon 442749, South Korea

[3] Chonnam Natl Univ, Dept Math, Kwangju 500757, South Korea

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 20卷 / 01期

关键词：

least-squares methods; spectral collocation methods; Stokes equations;

D O I：

10.1002/num.10085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First-order system least-squares spectral collocation methods are presented for the Stokes equations by adopting the first-order system and modifying the least-squares functionals in [2]. Then homogeneous Legendre and Chebyshev (continuous and discrete) functionals are shown to be elliptic and continuous with respect to appropriate product weighted norms. The spectral convergence is analyzed for the proposed methods with some numerical experiments. (C) 2003 Wiley Periodicals, Inc.

引用

页码：128 / 139

页数：12

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