Boundary Element Method is a numerical method used to solve integral equations
using direct solver to produce an accurate results, which is considered one of its
advantages. Its main disadvantage that it requires large computational efforts especially
for large-size problems with complex geometries. Fast Multi-pole technique was
proposed to reduce the needed computational efforts. In this paper, verifications of fast
multi-pole technique based on boundary element method (BEM) against finite element
commercial software and analytical solution are presented. Two numerical examples
were used for verification purposes; cantilever plate and variable width fixed-end plate.
Results show good agreement between both methods. When comparing the needed
computational memory and time, it is found that the proposed fast multi-pole technique
required less memory and time. Final conclusion that fast multi-pole technique
overcomes one of the most important constraints against spreading the use of Boundary
Element Method. |
