PITHIA is an advanced simulation tool, in-house developed by FEAC Engineering P.C., with currently three available modules for electromagnetic, cathodic protection and fluid-structure interaction problems (either 2D or 3D), which can effectively treat large-scale problems as well. This paper describes PITHIA’s electromagnetic module, focusing on applications such as superconducting accelerator magnets. Its capability in solving large-scale linear and non-linear magnetostatic problems to create digital twins of superconducting magnets is being further developed and validated, in the frame of the “KR3870/KT/IT/018L know how & consultancy agreement" with CERN amongst others. The software’s capabilities are characterized by accurate field calculations and modelling of arbitrarily complex coil geometry. The electromagnetic module of PITHIA is based on a coupled FEM/BEM scalar potential formulation that exploits both the advantage of BEM to treat infinite domains and the advantage of FEM to treat nonlinear problems. The numerical results of different types of accelerator magnets simulated with PITHIA are presented in this paper and compared with corresponding results obtained by other commercial simulation software in terms of accuracy and efficiency.