Comparison between the formulation of the boundary element method that uses fundamental solution dependent of frequency and the direct radial basis boundary element formulation for solution of Helmholtz problems

Seeking to validate a solution technique for Helmholtz problems, the Boundary Element Method with Direct Integration, which applies radial basis functions to approach the inertia term, is used to solve numerically problems governed by Helmholtz Equation. The standard Boundary Element formulation that employs the fundamental solution correlated to the Helmholtz Equation and has the frequency of excitation as argument is used for comparison. Thus, examples comprising the direct solution of Helmholtz problems are solved with both Boundary Element formulations and then their results are compared with available analytical solutions.