𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New decomposition of shape functions spaces of mixed finite element methods

✍ Scribed by A. Bendali; N. Raynaud; J.-M. Thomas

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
373 KB
Volume
9
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

A new decomposition of the shape functions spaces involved in mixed finite element method is introduced. This decomposition is particularly well suited to handling the local equilibrium condition. Associated with the dual mixed hybrid formulation, this property reduces the mixed formulation of second order elliptic boundary-value problems in divergence form to a generalized nonconforming finite element method with only the interface multipliers as unknowns.

πŸ“œ SIMILAR VOLUMES

Superconvergence of new mixed finite ele
Superconvergence of new mixed finite element spaces
✍ YunKyong Hyon; Do Young Kwak πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 229 KB

In this paper we prove some superconvergence of a new family of mixed finite element spaces of higher order which we introduced in [ETNA, Vol. 37, pp. 189-201, 2010]. Among all the mixed finite element spaces having an optimal order of convergence on quadrilateral grids, this space has the smallest

On completeness of shape functions for f
On completeness of shape functions for finite element analysis
✍ Robert L. Taylor πŸ“‚ Article πŸ“… 1972 πŸ› John Wiley and Sons 🌐 English βš– 302 KB πŸ‘ 1 views

Some elements commonly used for analysis are examined for completeness of polynomial interpolation and computational efficiency. Extensions to n-dimensional space are shown to be natural consequences of the interpolation, thus all elements considered here allow for finite element approximation in hi

Convergence of the domain decomposition
Convergence of the domain decomposition finite element–boundary element coupling methods
✍ M. El-Gebeily; Wael M. Elleithy; Husain J. Al-Gahtani πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 220 KB

In this work, we analyze three available domain decomposition methods. We also establish the convergence conditions. The theoretical analysis provides an interval in which a relaxation parameter has to be chosen in order to achieve convergence. Moreover, it allows the selection of the relaxation par