The problem of the radiation pattern from sources in the presence of perfectly conducting objects is of great interest in the design of transmitting or receiving antennas on structures. The optimal antenna location is particularly hard to find because of the many costly tests which must be managed. A reliable and fast electromagnetic code, able to model antenna/structure couplings, can allow engineers to reduce this cost considerably. In this article, we present two different numerical approaches to solve this problem, according to the kind of antenna, and its location. In the first case, the antenna is in the vicinity of the structure and is only known by its radiation pattern in free-space. A new far to near field transformation is used to compute the incident field induced by the antenna on the structure. In the second case, the antenna is integrated into the structure. The technique consists in a physical and geometrical modeling of the antenna, using a Finite Element Method. In both cases, a Boundary Element Method coupled with a Fast Multipole Method, is used because of its suitability to cope with propagation outside the obstacle. Some numerical examples are given to illustrate the accuracy and efficiency of these two approaches. To cite this article: N. Zerbib et al., C. R. Physique 6 (2005).