A monolithic approach is proposed that provides simultaneous modelling and analysis of the harvester, which involves surface‐coupled fluid‐structure interaction, volume‐coupled electro‐ mechanics and a controlling energy harvesting circuit for applications in energy harvesting. A space‐time finite element approximation is used for numerical solution of the weighted residual form of the governing equations of the flow‐driven piezoelectric energy harvesting device. This method enables time‐domain investigation of different types of structures (plate, shells) subject to exterior/interior flow with varying cross sections, material compositions, and attached electrical circuits with respect to the electrical power output generated. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)