Polynomial approximation on tetrahedrons in the finite element method
✍ Scribed by Alexander Ženíšek
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 863 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
It is shown that standard finite-element discretizations of second-order differential equations (i.e. Galerkin and subdomain methods) using conforming linear elements may fail to approximate the original equation locally if the finite-element grid is irregular or if subdomains are chosen improperly.
## Abstract This paper presents theory and examples of partial approximation as a modification of the displacement method in the finite element analysis. This method requires different shape functions for different terms in the potential energy expression to curtail the processes in the standard di