Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Mixed finite element methods based on Riesz-representing operators for the shell problem

Mixed finite element methods based on Riesz-representing operators for the shell problem To solve the shell problem, we propose a mixed finite element method with bubble-stabilization term and discrete Riesz-representation operators. It is shown that this new method is coercive, implying the well-knownK-ellipticity and the Inf-Sup condition being circumvented, and the resulting linear system is symmetrically positively definite, with a condition number being at mostO(h −2). Further, an optimal error bound is attained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Mixed finite element methods based on Riesz-representing operators for the shell problem

Loading next page...
 
/lp/springer-journals/mixed-finite-element-methods-based-on-riesz-representing-operators-for-9qZmC9OdZM

References (10)

Publisher
Springer Journals
Copyright
Copyright © 2001 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02677377
Publisher site
See Article on Publisher Site

Abstract

To solve the shell problem, we propose a mixed finite element method with bubble-stabilization term and discrete Riesz-representation operators. It is shown that this new method is coercive, implying the well-knownK-ellipticity and the Inf-Sup condition being circumvented, and the resulting linear system is symmetrically positively definite, with a condition number being at mostO(h −2). Further, an optimal error bound is attained.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 3, 2007

There are no references for this article.