Mathematical aspects of the general hybrid-mixed finite element methods and singular-value principle

W. Xue, S. N. Atluri

Research output: Contribution to journalArticle

Abstract

In this paper the general hybrid-mixed finite element methods are investigated systematically in a framework of multi-field variational equations. The commonly accepted concept "saddle point problem" is argued in this paper. The existence, uniqueness, convergence, and stability properties of the solutions are proved undertaking the assumptions of Ker*-ellipticity and nested BB-conditions. The relation between discrete BB-condition and smallest singular value, and a so-called singular value principle are proposed for the practical applications using hybrid-mixed finite element methods.

Original languageEnglish
Pages (from-to)450-462
Number of pages13
JournalComputational Mechanics
Volume22
Issue number6
DOIs
StatePublished - 1999

Fingerprint Dive into the research topics of 'Mathematical aspects of the general hybrid-mixed finite element methods and singular-value principle'. Together they form a unique fingerprint.

  • Cite this