A Study of Accurate Analysis System through the Boundary Element Methods : 1st Report, Introduction of Integral Equation with Relative Quantity

In the usual boundary element method, some special numerical techniques have been developed in order to get accurate solutions at internal points near a boundary where the singularity of the integral equation becomes very strong. However, such superior devices have not succeeded in completely removing the singularity except the analytical integral scheme which tends to contain bigger errors due to discretization. From this point of view, a boundary integral equation i newly formulated. In the implementation, a relative quantity of potential or displacement function is sued. In this report, we confirm the excellence of the present device, and equivalence of the present formulation with relative quantity to the rigid body condition and to the constant potential condition is verified