• Corpus ID: 244908891

Unifying the geometric decompositions of full and trimmed polynomial spaces in finite element exterior calculus

@article{Isaac2021UnifyingTG,
  title={Unifying the geometric decompositions of full and trimmed polynomial spaces in finite element exterior calculus},
  author={Toby Isaac},
  journal={ArXiv},
  year={2021},
  volume={abs/2112.02174}
}
  • T. Isaac
  • Published 3 December 2021
  • Mathematics
  • ArXiv
Arnold, Falk, & Winther, in Finite element exterior calculus, homological techniques, and applications (2006), show how to geometrically decompose the full and trimmed polynomial spaces on simplicial elements into direct sums of trace-free subspaces and in Geometric decompositions and local bases for finite element differential forms (2009) the same authors give direct constructions of extension operators for the same spaces. The two families – full and trimmed – are treated separately, using… 

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