O MÉTODO DOS ELEMENTOS DE CONTORNO COM INTERPOLAÇÃO DIRETA APLICADO A MEIOS SUAVEMENTE HETEROGÊNEOS UTILIZANDO A TÉCNICA DE SUPERPOSIÇÃO DE DOMÍNIOS

Resumo

This work presents a formulation of the Boundary Element Method (BEM) applied to
problems governed by the piecewise inhomogeneous Laplace's Equation. Thus, the constitutive
property is isotropic but varies according to a known function along with the complete domain or then
within of distinct sectors inside it. For solving accurately this complex case, the domain integral
generated by the non-homogeneity of the medium is transformed into a boundary integral using the
Direct Interpolation Boundary Element Method (DIBEM). Another important operational advantage
of the proposed model is given by the application of the Domain Superposition Technique (DST) to
compute the sectorial heterogeneities. Reference results for evaluation of the accuracy are given
through simulations using the Finite Element Method with finer meshes.