Analysis of the conditioning of the inertia matrix in acoustic models of the Boundary Element Method with Direct Interpolation

Resumo

After to be solved problems given by Helmholtz, Diffusion-Advection, and Poisson equations, this work presents the results of the Direct Interpolation Method concerning acoustic wave cases to homogeneous media. The main objective is to establish a link between the stability of the discrete model with the conditioning level of the dynamic matrix, which is generated through a sequential of radial basis functions. Several conditioning norms were verified and applied to several linear boundary element meshes. A classical problem of wave propagation in scalar fields was chosen for the numerical analysis.