Code Generation for Generally Mapped Finite Elements

  title={Code Generation for Generally Mapped Finite Elements},
  author={R. C. Kirby and L. Mitchell},
  journal={ACM Transactions on Mathematical Software (TOMS)},
  pages={1 - 23}
  • R. C. Kirby, L. Mitchell
  • Published 2019
  • Computer Science, Mathematics
  • ACM Transactions on Mathematical Software (TOMS)
Many classical finite elements such as the Argyris and Bell elements have long been absent from high-level PDE software. Building on recent theoretical work, we describe how to implement very general finite-element transformations in FInAT and hence into the Firedrake finite-element system. Numerical results evaluate the new elements, comparing them to existing methods for classical problems. For a second-order model problem, we find that new elements give smooth solutions at a mild increase in… Expand
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