A coding error elimination procedure for verifying finite element programs with forced and natural boundary conditions
✍ Scribed by David A. Blank; P. John Loui
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 137 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
✦ Synopsis
The general procedure developed by Shih for eliminating computer coding errors has been both simpliÿed for ÿnite element applications and extended for use in the veriÿcation of the coding of forced and natural boundary conditions. To accomplish these two objectives simultaneously, use is made of volume weighted residuals for all elements within the solution regime and of area weighted boundary residuals for all elements having natural boundary conditions on one or more of their borders. This procedure can thus be used to verify ÿnite element codes with a combination of both forced (Dirichlet) and natural (Neumann and Robbins) boundary conditions. Depending on the equations being solved and the boundary conditions they are being subjected to, this modiÿcation can make possible the implementation of Shih's general procedure into existing ÿnite element codes without having to carry out any additional discretization steps. The employment of this modiÿed procedure is illustrated using two-dimensional (2-D) stress analysis and transient heat conduction problems.