Essential boundary conditions and multi-point constraints in finite element analysis

✍ Scribed by Mark Ainsworth

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 193 KB
• Volume: 190
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(01)00236-5

✦ Synopsis

The application of boundary conditions and other constraints to the stiness matrix and load vector is an integral part of any ®nite element code. This process is usually trivial but can present diculties to the point where some codes disallow certain combinations of commonly occurring boundary conditions. A general approach to this problem is presented and applied to representative examples. Necessary and sucient conditions are obtained under which constraints can be applied sequentially. Bounds are obtained for the condition number of the reduced system showing it is essentially the same as for the original problem.