Evaluation of the Spectral Finite Element Method With the Theory of Phononic Crystals

@article{GuarnZapata2014EvaluationOT,
  title={Evaluation of the Spectral Finite Element Method With the Theory of Phononic Crystals},
  author={Nicol{\'a}s Guar{\'i}n-Zapata and Juan G{\'o}mez},
  journal={ArXiv},
  year={2014},
  volume={abs/1409.4812}
}
We evaluated the performance of the classical and spectral finite element method in the simulation of elastodynamic problems. We used as a quality measure their ability to capture the actual dispersive behavior of the material. Four different materials are studied: a homogeneous non-dispersive material, a bilayer material, and composite materials consisting of an aluminum matrix and brass inclusions or voids. To obtain the dispersion properties, spatial periodicity is assumed so the analysis is… 

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