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This work presents a numerical discretization technique for solving 3‐dimensional material interface problems involving complex geometry without conforming mesh generation. The finite cell method (FCM), which is a high‐order fictitious domain approach, is used for the numerical approximation of the solution without a boundary‐conforming mesh. Weak discontinuities at material interfaces are resolved...
The voxel finite cell method uses unfitted finite element meshes and voxel quadrature rules to seamlessly transfer computed tomography data into patient‐specific bone discretizations. The method, however, still requires the explicit parametrization of boundary surfaces to impose traction and displacement boundary conditions, which constitutes a potential roadblock to automation. We explore a phase‐field–based...
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