Resumo:
This work deals with a numerical solution technique for evaluation of hypersingular two dimensional equations based on a non-symmetric variational approach for the Boundary
Element Method (BEM) applied to Laplace and Poisson equations (potential problems) as
well as Navier equation (elasticity problems).
The relaxed continuity approach is the starting point for the formulations used along the work,
which means that, instead of using approaches that assure the required C1,α
inter-element
continuity requirement, the formulation applied on this work uses only standard C0
isoparametric elements. The continuity requirement is enforced at smooth inter-element nodes
through a subsidiary set of constraint equations included into the original system of equations.
Numerical examples show that the developed algorithm based on the self-regular traction and
flux-BIE are highly efficient, and quite straightforward in that no integral transformations are
necessary to compute the singular integrals and even a small number of integration Gauss
points gives very accurate results.
