Numerical modelling of the acoustical characteristics of exterior domains is a powerful tool which can be used for modelling HRTFs and sound fields produced by virtual acoustics systems. Two methods can be used: the Boundary Element Method (BEM) and the Infinite-Finite Element Method (IFEM). This paper presents the principles of using these methods by calculating the transfer functions of a sphere, an ellipsoid, a dummy-head (with and without pinnae), and a pinna of a dummy-head modelled on an infinite baffle. Simulations were performed on converted BEM and IFEM meshes with different mesh resolutions. These feasibility studies show that for models for which the geometry is captured very accurately (e.g. by means of a linear laser scanner/digitiser) it is practicable to simulate the response over the entire audible frequency range.