An Algorithm for Tensor Product Approximation of Three-Dimensional Material Data for Implicit Dynamics Simulations

@inproceedings{Podsiadlo2018AnAF,
  title={An Algorithm for Tensor Product Approximation of Three-Dimensional Material Data for Implicit Dynamics Simulations},
  author={Krzysztof Podsiadlo and Marcin Los and Leszek Siwik and Maciej K. Wozniak},
  booktitle={ICCS},
  year={2018}
}
In the paper, a heuristic algorithm for tensor product approximation with B-spline basis functions of three-dimensional material data is presented. The algorithm has an application as a preconditioner for implicit dynamics simulations of a non-linear flow in heterogeneous media using alternating directions method. As the simulation use-case, a non-stationary problem of liquid fossil fuels exploration with hydraulic fracturing is considered. Presented algorithm allows to approximate the… 
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