@INPROCEEDINGS{PrRuSc07,
author = {Preusser, Tobias and Rumpf, Martin and Schwen, Lars Ole},
title = {Finite Element Simulation of Bone Microstructures},
booktitle = {14th Workshop on the Finite Element Method in Biomedical Engineering,
Biomechanics and Related Fields},
year = {2007},
pages = {52--66},
organization = {University of Ulm},
abstract = {The geometric construction of finite element spaces suitable for complicated
shapes or microstructured materials is discussed. As an application,
the efficient computation of linearized elasticity is considered
on them. Geometries are supposed to be implicitly described via 3D
voxel data (e. g. $\mu$CT scans) associated with a cubic grid. We
place degrees of freedom only at the grid nodes and incorporate the
complexity of the domain in the hierarchy of finite element basis
functions, i.e. constructed by cut off operations at the reconstructed
domain boundary. Thus, our method inherits the nestedness of uniform
hexahedral grids while still being able to resolve complicated structures.
In particular, the canonical coarse scales on hexahedral grid hierarchies
can be used in multigrid methods.},
pdf = {http://numod.ins.uni-bonn.de/research/papers/public/PrRuSc07.pdf},
isbn = {978-3-9806183-9-7},
}