3D automatic mesh generation for boundary integral method

The 3-D automatic mesh generator developed for the Phi3d package is presented. The Phi3d package allows the computation of three-dimensional electric or magnetic fields by solving the Laplace equation. The proposed method is based on the combination of two different main algorithms: automatic generation of triangles for the plane surfaces, as is usually done in 2-D, including geometric amelioration and refinement, and automatic generation of quadrangles for the curved surfaces, using linear Coons patches. Furthermore, some simple surfaces are directly meshed when generated from a database of primary objects (sphere, cube, cylinder, etc.) by translation of a surface along a line, or by a rotation around an axis.<>