The "rst remark of this paper is to disclose a historical fact that the assumed stress hybrid "nite element method pioneered by Pian [1] in 1964 was actually developed originally based on the Hellinger}Reissner principle and not on the complementary energy principle as indicated in the published pap
On the relation of the cell discretization algorithm to the primal hybrid finite element method
โ Scribed by Coffey, Mark W.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1992
- Tongue
- English
- Weight
- 468 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0748-8025
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โฆ Synopsis
We point out the connection between the cell discretization algorithm and the primal hybrid finite-element method. There is a very close relationship between these two non-conforming methods. In particular, an important result between Lagrange multipliers and normal derivatives obtains in both cases. Sample numerical evidence verifying this connection is presented for a simple two-dimensional elliptic problem.
๐ SIMILAR VOLUMES
The use of mixed ยฎnite element methods in discretizing the Stokes equations leads to systems involving the so-called pressure matrix. Some new spectral properties of this important matrix are here presented for the Q 1 -P 0 element.
The present paper deals with the finite element analysis of transient vibration of air in rooms and is a sequel to earlier finite element work presented by Craggs. Results obtained from the finite element model of rectangular, triangular and cylindrical rooms are compared with those given elsewhere