@article{Frei2021-12-14tempo-55085,
  year={2021},
  doi={10.1002/pamm.202100055},
  title={On temporal homogenization in the numerical simulation of atherosclerotic plaque growth},
  number={1},
  volume={21},
  issn={1617-7061},
  journal={Proceedings in Applied Mathematics and Mechanics},
  author={Frei, Stefan and Heinlein, Alexander and Richter, Thomas},
  note={Article Number: e202100055}
}

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    <dcterms:abstract xml:lang="eng">A temporal homogenization approach for the numerical simulation of atherosclerotic plaque growth is extended to fully coupled fluid-structure interaction (FSI) simulations. The numerical results indicate that the two-scale approach yields significantly different results compared to a simple heuristic averaging, where only stationary long-scale FSI problems are solved, confirming the importance of incorporating stress variations on small time-scales. In the homogenization approach, a periodic fine-scale problem, which is periodic with respect to the heart beat, has to be solved for each long-scale time step. Even if no exact initial conditions are available, periodicity can be achieved within only 2–3 heart beats by simple time-stepping.</dcterms:abstract>
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    <dc:contributor>Heinlein, Alexander</dc:contributor>
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