Geometrical discretisations for unfitted finite elements on explicit boundary representations

Unfitted (also known as embedded or immersed) finite element approximations of partial differential equations are very attractive because they have much lower geometrical requirements than standard body-fitted formulations. These schemes do not require unstructured mesh generation. In turn, the numerical integration becomes more involved, one has to compute integrals on portions cells (only interior part). practice, these methods restricted level-set (implicit) representations, which drastically limit their application. Complex geometries in industrial and scientific problems usually determined by (explicit) boundary representations. this work, we propose an automatic computational framework for discretisation domains defined oriented meshes. The kernel that connects functional geometry representations generates a two-level refinement enables straightforward all terms unfitted elements. proposed been applied with success analysis-suitable meshes (almost 5,000) Thingi10K database combined formulation discretise corresponding domains.