Boolean finite cell method for multi-material problems including local enrichment of the Ansatz space

Abstract The Finite Cell Method (FCM) allows for an efficient and accurate simulation of complex geometries by utilizing unfitted discretization based on rectangular elements equipped with higher-order shape functions. Since the mesh is not aligned to geometric features, cut arise that are intersected domain boundaries or internal material interfaces. Hence, multi-material problems, several challenges have be solved handle elements. On one hand, special integration schemes used computing discontinuous integrands other weak discontinuity displacement field along interfaces has captured accurately. While first issue, a space-tree decomposition often employed, latter issue can local enrichment approach, adopted from extended finite element method. In our contribution, novel scheme problems introduced that, B-FCM formulation porous media, originally proposed Abedian Düster (Comput Mech 59(5):877–886, 2017), extends standard Boolean operations yielding significantly reduced computational effort. approach combined technique tested involving in 2D 3D. results show number points time significant amount, while maintaining same accuracy as FCM.