Finite element basis functions for nested meshes of nonuniform refinement level

@article{Hill2004FiniteEB,
  title={Finite element basis functions for nested meshes of nonuniform refinement level},
  author={Vanessa Hill and Ortwin Farle and Romanus Dyczij-Edlinger},
  journal={IEEE Transactions on Magnetics},
  year={2004},
  volume={40},
  pages={981-984}
}
We propose a systematic methodology for the construction of hanging variables to connect finite elements of unequal refinement levels within a nested tetrahedral mesh. While conventional refinement schemes introduce irregular elements at such interfaces which must be removed when the mesh is further refined, the suggested approach keeps the discretization perfectly nested. Thanks to enhanced regularity, mesh-based methods such as refinement algorithms or intergrid transfer operators for use in… CONTINUE READING
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