The present paper deals with the seismic analysis of masonry domes in an equivalent static fashion (pushover). The dome is discretised by means of a heterogeneous FE mesh where blocks with homogeneous properties are assumed as elastic, and joints are simply modelled through three-dimensional elements exhibiting either an elasto-plastic or an elasto-damaging behaviour [1]. The present modelling approach, applied to the case study of the Anime Sante Dome (Santa Maria del Suffragio Church in L’Aquila), considers a small portion of the church, namely the dome without the drum. The objective is to produce a benchmark for the development of a code for the automatic generation of a non-linear interface constituted by trusses and shear panels. The possible orthotropy, typically induced by a running bond disposition of the blocks, can be considered either meshing the dome with a truly heterogeneous discretization or adopting a heuristic homogenization where different mechanical properties of the meridian and annular interfaces are assumed, and the rest is linear elastic. The aim is to bring both methods in the non-linear static field, employing them for a fast seismic vulnerability assessment of the architectural heritage. The general objective is to develop a reliable tool for fast structural analyses, design, retrofitting or forensic engineering after earthquake events. The case study dome considered to preliminary benchmark the procedure on previous analyses [2], [3], collapsed during L’Aquila 2009 seismic sequence.