The finite cell method is a fictitious domain method combined with p-version high-order polynomial
basis functions. This dissertation presents a CT-derived data specific integration scheme for the FCM which accelerates the stiffness matrices computation by precomputation with respect to material constants and voxel dimensions. With this scheme applied to solve three-dimensional isotropic linear elastic problems, a remarkable reduction in computational time is achieved, moreover a good accuracy is also obtained and verified by several numerical examples. The high efficiency and accuracy of this integration scheme enables the establishment of a prototype of an interactive surgical planning platform which allows for predicting and monitoring in-vivo bone-implant stress distribution in real-time via computational steering.
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The finite cell method is a fictitious domain method combined with p-version high-order polynomial
basis functions. This dissertation presents a CT-derived data specific integration scheme for the FCM which accelerates the stiffness matrices computation by precomputation with respect to material constants and voxel dimensions. With this scheme applied to solve three-dimensional isotropic linear elastic problems, a remarkable reduction in computational time is achieved, moreover a good accuracy...
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