BOUNDARY-ELEMENT COMPUTATIONS OF 3D STATIONARY AND TIME-DEPENDENT PROBLEMS USING BEZIER-SPLINE ELEMENTS

In this paper, a method for computing stationary and time-dependent pr oblems using C1-continuous Bezier boundary elements is presented. The Bezier element and the approximation of the solution is discussed. The method is validated against a biomedical problem, the results are com pared with the analytical solution of a spherical model of a human tho rax excited by a single dipole inside the heart. Further investigation s concerning the scattering of a transient electromagnetic wave from s imple shaped bodies are carried out with isoparametric Bezier spline r epresentation of geometry and solution. In the case of integral equati ons of second order, it can be shown that the solution's smoothness is improved due to the C1-continuity of the scatterer's shape. First ord er integral equations are amenable to dircect application of the bound ary element method with derivation of the kernel inside the integral a nd point collocation.