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 language | English |
|---|---|
| Pages (from-to) | 450-462 |
| Number of pages | 13 |
| Journal | Computational Mechanics |
| Volume | 22 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jan 1999 |
| Externally published | Yes |
Scopus Subject Areas
- Computational Mechanics
- Ocean Engineering
- Mechanical Engineering
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics
User-Defined Keywords
- Finite Element Method
- Saddle Point
- Stability Property
- Variational Equation
- Point Problem