New implementation of the boundary element method using a B-rep geometric modeller

In this paper, a new implementation of the Boundary Element Method using an interface with a B-rep geometric modeller, is presented. The main advantage of this approach is the capability to work with an exact representation of the geometry of the model. The analyzer is able to get, from a B-rep model representation, all the geometric information; so it does not need to mesh the model. The method is applied to 3D potential problem - Laplace's equation, but it is straight forward to apply to other problems (e.g. mechanical). Numerical results, for several electrostatics examples are shown.