Grid redistribution based on measurable error indicators for the direct boundary element method

✍ Scribed by Marc S. Ingber; Ambar K. Mitra

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 561 KB
• Volume: 9
• Category: Article
• ISSN: 0955-7997
• DOI: 10.1016/0955-7997(92)90120-v

✦ Synopsis

The quality of solution obtained by using the boundary element method is dependent on how the boundary is discretized. This is particularly true when the geometry is complex or the field variables are singular at certain points on the boundary. In regions along the boundary where the field variable or its normal derivative has large gradients, a finer discretization is necessary in order to improve the quality of the solution. Most rules of grid optimization for the boundary element method are related to minimizing error in an appropriate boundary error norm. The error norm should be measurable, reliable, and easy to compute. In this paper, a suitable error norm is defined, and the procedure for its computation is presented. Further, a strategy for grid redistribution is examined. In this scheme, the number of nodal points remain constant, but these points are repositioned, reducing the size of the elements in regions of large error.