• Corpus ID: 239885780

Transformations for Piola-mapped elements

@article{Aznaran2021TransformationsFP,
  title={Transformations for Piola-mapped elements},
  author={Francis R. A. Aznaran and Robert C. Kirby and Patrick E. Farrell},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.13224}
}
The Arnold–Winther element successfully discretizes the Hellinger–Reissner variational formulation of linear elasticity; its development was one of the key early breakthroughs of the finite element exterior calculus. Despite its great utility, it is not available in standard finite element software, because its degrees of freedom are not preserved under the standard Piola push-forward. In this work we apply the novel transformation theory recently developed by Kirby [SMAI-JCM, 4:197–224, 2018… 

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