A Recursive Boundary Element with Initial Error Investigation.
Abstract
A recursive numerical integration technique is developed for the boundary element method. The initial implementation is within an indirect formulation for two-dimensional elastostatics. A numerical study investigates the error field near a single boundary element in the infinite plane using different orders of numerical integration. The difficulty of integrating the singular kernal functions with discrete integration points is eliminated with a recursive algorithm that adaptively subdivides elements that are in close proximity to the internal response point. The recursive technique allows calculation of internal responses arbitrarily close to the boundary subdivision based on boundary geometry and anticipated boundary response gradients without regard for the numerical integration accuracy of responses near the boundary. The gradient of the artificial tractions must ordinarily be considered when modeling problems with the indirect formulation. Keywords: Boundary element; elastostatics; recursion; isoparametric numerical integration.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1985
- Accession Number
- ADA163563
Entities
People
- J. V. Cox
- T. A. Shugar
Organizations
- Naval Facilities Engineering Service Center