The condition of the least-squares finite element matrices

被引：0

作者：

Fried, Isaac ^{[1
]}

机构：

[1] Boston Univ, Dept Math, Boston, MA 02215 USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2016年 / 106卷 / 09期

关键词：

finite element methods; differential equations; structures; hydrodynamics; PARTIAL-DIFFERENTIAL-EQUATIONS;

D O I：

10.1002/nme.5146

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A universal, practical, a priori, numerical procedure is presented by which to realistically bind the spectral condition number of the global stiffness matrix generated by the finite element least-squares method. The procedure is then applied to second and fourth-order problems in one and two dimensions to show that the condition of the global stiffness matrix thus generated is, in all instances, proportional to but the diameter of the element squared. Copyright (c) 2015 John Wiley & Sons, Ltd.

引用

页码：760 / 770

页数：11

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